{"id":10510,"date":"2024-01-02T10:41:00","date_gmt":"2024-01-02T05:11:00","guid":{"rendered":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/%e0%a4%a6%e0%a4%b6%e0%a4%ae%e0%a4%b2%e0%a4%b5-%e0%a4%b8%e0%a4%82%e0%a4%96%e0%a5%8d%e0%a4%af%e0%a4%be%e0%a4%93%e0%a4%82-%e0%a4%95%e0%a5%87-%e0%a4%ad%e0%a4%be%e0%a4%97\/"},"modified":"2026-05-24T15:16:16","modified_gmt":"2026-05-24T09:46:16","slug":"%e0%a4%a6%e0%a4%b6%e0%a4%ae%e0%a4%b2%e0%a4%b5-%e0%a4%b8%e0%a4%82%e0%a4%96%e0%a5%8d%e0%a4%af%e0%a4%be%e0%a4%93%e0%a4%82-%e0%a4%95%e0%a5%87-%e0%a4%ad%e0%a4%be%e0%a4%97","status":"publish","type":"post","link":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/%e0%a4%a6%e0%a4%b6%e0%a4%ae%e0%a4%b2%e0%a4%b5-%e0%a4%b8%e0%a4%82%e0%a4%96%e0%a5%8d%e0%a4%af%e0%a4%be%e0%a4%93%e0%a4%82-%e0%a4%95%e0%a5%87-%e0%a4%ad%e0%a4%be%e0%a4%97\/","title":{"rendered":"\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092d\u093e\u0917"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u092d\u093f\u0928\u094d\u0928 \u0914\u0930 \u0926\u0936\u092e\u0932\u0935 \u092a\u0930\u0938\u094d\u092a\u0930 \u0938\u092e\u094d\u092c\u0928\u094d\u0927\u093f\u0924 \u0926\u094b \u0910\u0938\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u093f\u0928\u092e\u0947\u0902 \u092e\u093e\u0927\u094d\u092f\u092e\u093f\u0915 \u0938\u094d\u0915\u0942\u0932 (\u0915\u0915\u094d\u0937\u093e 6 \u0938\u0947 8) \u0915\u0947 \u092c\u091a\u094d\u091a\u0947 \u0915\u093e\u092b\u093c\u0940 \u0915\u0920\u093f\u0928\u093e\u0908 \u0915\u093e \u0938\u093e\u092e\u0928\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u090f\u0915 \u0924\u094b \u0907\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u0940 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0928\u093e \u092e\u0941\u0936\u094d\u0915\u093f\u0932 \u0939\u094b\u0924\u093e \u0939\u0948, \u0914\u0930 \u0926\u0942\u0938\u0930\u093e, \u0907\u0928 \u092a\u0930 \u0915\u0940 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u0915\u093e\u092b\u093c\u0940 \u0905\u092e\u0942\u0930\u094d\u0924\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u0938\u093f\u0916\u093e\u0908 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902 \u091c\u093f\u0938\u092e\u0947\u0902 \u0928\u093f\u092f\u092e\u094b\u0902 \u0915\u0947 \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u092a\u0930 \u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u091c\u093c\u094b\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939\u093e\u0901, \u0939\u092e \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092d\u093e\u0917 \u092a\u0930 \u091a\u0930\u094d\u091a\u093e \u0915\u0930\u0947\u0902\u0917\u0947 \u0914\u0930 \u0907\u0938 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0924\u094d\u092e\u0915 \u0930\u0942\u092a \u0938\u0947 \u0938\u092e\u091d\u0947\u0902\u0917\u0947\u0964 \u0938\u093e\u0925 \u0939\u0940 \u0920\u094b\u0938 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 (manipulatives) \u0915\u0940 \u092e\u0926\u0926 \u0938\u0947 \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u0907\u0938\u0915\u093e \u0928\u093f\u092f\u092e \u0915\u0948\u0938\u0947 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948\u0964   <\/p>\n\n<p class=\"wp-block-paragraph\">\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092d\u093e\u0917 \u092a\u0930 \u091a\u0930\u094d\u091a\u093e \u0915\u0930\u0928\u0947 \u0938\u0947 \u092a\u0939\u0932\u0947 \u0939\u092e\u0947\u0902 \u092d\u093e\u0917 \u0915\u0940 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u092e\u0924\u0932\u092c \u0938\u092e\u091d\u0928\u0947 \u0915\u0940 \u091c\u093c\u0930\u0942\u0930\u0924 \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0926\u094b \u0905\u0930\u094d\u0925 \u0939\u0948\u0902, \u090f\u0915 \u0939\u0948 <span>\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u093e<\/span> (equal sharing)\u0964 \u0907\u0938 \u0905\u0930\u094d\u0925 \u092e\u0947\u0902 12 \u00f7 3 \u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 <span>12 \u091a\u0940\u091c\u093c\u0947\u0902 3 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u093e\u0901\u091f\u0940 \u0917\u0908 \u0939\u0948\u0902 (\u092f\u093e\u0928\u0940 \u0915\u093f 3 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b \u0915\u093f\u0924\u0928\u0940 \u091a\u0940\u091c\u093c\u0947\u0902 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902)<\/span>\u0964 \u0926\u0942\u0938\u0930\u093e \u0905\u0930\u094d\u0925 \u0939\u0948, <span>\u092c\u0930\u093e\u092c\u0930-\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939 \u092c\u0928\u093e\u0928\u093e (\u092e\u093e\u0924\u094d\u0930\u093e)<\/span> \u092f\u093e\u0928\u0940 \u0915\u093f \u0938\u092e\u093e\u0928 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923 (equal grouping)\u0964 \u0907\u0938 \u0905\u0930\u094d\u0925 \u092e\u0947\u0902 <span>12 \u091a\u0940\u091c\u093c\u094b\u0902 \u0915\u094b \u0907\u0938 \u0924\u0930\u0939 \u092c\u093e\u0901\u091f\u093e \u091c\u093e\u090f \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b 3 \u091a\u0940\u091c\u093c\u0947\u0902 \u092e\u093f\u0932\u0947\u0902 (\u0905\u0930\u094d\u0925\u093e\u0924, \u0915\u093f\u0924\u0928\u0947 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u094b 3-3 \u091a\u0940\u091c\u093c\u0947\u0902 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902)\u0964<\/span> <\/p>\n\n<p class=\"wp-block-paragraph\">\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0940 \u092e\u0949\u0921\u0932\u093f\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u0917\u0924\u094d\u0924\u0947\/\u0915\u093e\u0917\u093c\u091c\u093c \u0915\u0947 \u092c\u0928\u0947 \u0926\u094d\u0935\u093f\u0935\u093f\u092e\u0940\u092f (2D) \u0914\u0930 \u0924\u094d\u0930\u093f\u0935\u093f\u092e\u0940\u092f (3D) \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u092e\u0948\u0928\u093f\u092a\u094d\u092f\u0942\u0932\u0947\u091f\u093f\u0935\u094d\u0938 \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u091a\u093e\u0939\u0947 \u091c\u093f\u0938\u0915\u093e \u092d\u0940 \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0947\u0902, \u091c\u093c\u0930\u0942\u0930\u0940 \u092f\u0939 \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 \u0928\u093f\u0930\u0942\u092a\u0923\u094b\u0902 \u0914\u0930 \u0938\u0935\u093e\u0932 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928 \u090f\u0915\u0930\u0942\u092a\u0924\u093e \u092c\u0928\u0940 \u0930\u0939\u0947\u0964  <\/p>\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 3D \u092e\u0949\u0921\u0932<\/strong><\/td><td>The whole, the big cube or 1.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"179\" height=\"187\" class=\"wp-image-22471\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img1-table-1.png\" alt=\"division-img1-table-1\"\/><\/td><td>The whole can be split into 10 equal plates, each being \\(\\frac{1}{10}\\) or 0.1 of the whole.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"97\" height=\"153\" class=\"wp-image-22474\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img2-table-1.png\" alt=\"division-img2-table-1\"\/><\/td><td>Each plate can be further split into 10 equals rods, each being \\(\\frac{1}{100}\\) or 0.01 of the whole.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"42\" height=\"184\" class=\"wp-image-22537\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/table-1-img-3.webp\" alt=\"table-1-img-3\"\/><\/td><td>Each plate can be further split into 10 equals small cubes, each being \\(\\frac{1}{1000}\\) or 0.001 of the whole.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"48\" height=\"50\" class=\"wp-image-22541\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/table-1-img-4.webp\" alt=\"table-1-img-4\"\/><\/td><\/tr><\/tbody><\/table><\/figure>\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 2D \u092e\u0949\u0921\u0932<\/strong><\/td><td>The whole, the flat or 1.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"95\" height=\"98\" class=\"wp-image-22746\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/decimal-table2-1.png\" alt=\"decimal-table2-1\"\/><\/td><td>The whole can be split into 10 equal longs, each being \\(\\frac{1}{10}\\) or 0.1 of the whole.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"10\" height=\"98\" class=\"wp-image-22455\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img2-table-2.png\" alt=\"division-img2-table-2\"\/><\/td><td>Each long can be further split into 10 equal small squares, each being \\(\\frac{1}{100}\\) or 0.01 of the whole.<br\/><img loading=\"lazy\" decoding=\"async\" width=\"15\" height=\"15\" class=\"wp-image-22458\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img3-table-2.png\" alt=\"division-img3-table-2\"\/><\/td><\/tr><\/tbody><\/table><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0907\u0928 \u092e\u0949\u0921\u0932\u094d\u0938 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0928\u093f\u0930\u0942\u092a\u0923<\/p>\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>2.034 using the 3D model<br\/><img loading=\"lazy\" decoding=\"async\" width=\"1038\" height=\"405\" class=\"wp-image-22447\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img1-table-3.png\" alt=\"division-img1-table-3\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img1-table-3.png 1038w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img1-table-3-640x250.png 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img1-table-3-360x140.png 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img1-table-3-768x300.png 768w\" sizes=\"auto, (max-width: 1038px) 100vw, 1038px\" \/><\/td><td>3.54 using 2D model<br\/><img loading=\"lazy\" decoding=\"async\" width=\"627\" height=\"429\" class=\"wp-image-22430\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img2-table-3.png\" alt=\"division-img2-table-3\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img2-table-3.png 627w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img2-table-3-526x360.png 526w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img2-table-3-295x202.png 295w\" sizes=\"auto, (max-width: 627px) 100vw, 627px\" \/><\/td><\/tr><tr><td>1.32 using 3D model<br\/><img loading=\"lazy\" decoding=\"async\" width=\"1108\" height=\"385\" class=\"wp-image-22433\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img3-table-3.png\" alt=\"division-img3-table-3\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img3-table-3.png 1108w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img3-table-3-640x222.png 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img3-table-3-360x125.png 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img3-table-3-768x267.png 768w\" sizes=\"auto, (max-width: 1108px) 100vw, 1108px\" \/><\/td><td>1.32 using 2D model<br\/><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"208\" class=\"wp-image-22436\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img4-table-3.png\" alt=\"division-img4-table-3\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img4-table-3.png 545w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2026\/03\/division-img4-table-3-360x137.png 360w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/td><\/tr><\/tbody><\/table><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0939\u092e \u091c\u093c\u0930\u0942\u0930\u0924 \u0915\u0947 \u0939\u093f\u0938\u093e\u092c \u0938\u0947 3\u0921\u0940 \u092f\u093e 2\u0921\u0940 \u092e\u0949\u0921\u0932 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092d\u093e\u0917 \u0915\u0947 \u0938\u0935\u093e\u0932 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0947\u0902\u0917\u0947\u0964 \u0906\u092d\u093e\u0938\u0940 \u092e\u0949\u0921\u0932 (virtual model) \u0915\u0947 \u0932\u093f\u090f \u0906\u092a \u092e\u0948\u0925\u0940\u0917\u0949\u0928 \u092a\u0949\u0932\u0940\u092a\u0948\u0921 <a href=\"https:\/\/mathigon.org\/polypad\" target=\"_blank\" rel=\"noreferrer noopener\">(https:\/\/mathigon.org\/polypad)<\/a> \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u092c\u0915\u093f \u092d\u094c\u0924\u093f\u0915 \u092e\u0949\u0921\u0932 \u0915\u093e\u0917\u093c\u091c\u093c\/\u0917\u0924\u094d\u0924\u0947 \u0938\u0947 \u092c\u0928\u093e\u090f \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 2\u0921\u0940 \u092e\u0949\u0921\u0932 \u0915\u094b \u0926\u0936\u092e\u0932\u0935 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u0947 \u092c\u093e\u0926 4 \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u092f\u093e\u0928\u0940 \u0915\u093f 0.0001 \u0924\u0915 \u092c\u0922\u093c\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u0938\u0947\u0902\u091f\u0940\u092e\u0940\u091f\u0930 \u0917\u094d\u0930\u093e\u092b\u093c \u092a\u0947\u092a\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0938\u092e\u0947\u0902 10 \u0938\u0947\u092e\u0940 \u00d7 10 \u0938\u0947\u092e\u0940 \u0915\u0947 \u090f\u0915 \u0935\u0930\u094d\u0917 \u0915\u094b \u092a\u0942\u0930\u094d\u0923 \u092e\u093e\u0928\u093e \u091c\u093e\u090f\u0917\u093e\u0964  <\/p>\n\n<h2 class=\"wp-block-heading\"><strong>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092d\u093e\u0917 \u0915\u0947 \u0932\u093f\u090f \u091c\u093c\u0930\u0942\u0930\u0940 \u092a\u0942\u0930\u094d\u0935\u091c\u094d\u091e\u093e\u0928<\/strong><\/h2>\n\n<ul class=\"wp-block-list\">\n<li><em>\u0926\u0936\u092e\u0932\u0935 \u0915\u0940 \u0938\u092e\u091d, \u0935\u093f\u0936\u0947\u0937\u0915\u0930 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0928\u093e<\/em><br\/>\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \\(0.25 = \\frac{25}{100} = \\frac{1}{4}\\)<br\/>\u092f\u0926\u093f \u090f\u0915 \u092b\u0932\u0915 \u092a\u0942\u0930\u094d\u0923 \u092f\u093e 1 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 100 \u091b\u094b\u091f\u0947 \u0935\u0930\u094d\u0917 \u0939\u0948\u0902, \u0924\u094b \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 0.01 \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-1)\u0964 \u091a\u093f\u0924\u094d\u0930-1 \u0924\u094b 0.25 \u0910\u0938\u0947 25 \u091b\u094b\u091f\u0947 \u0935\u0930\u094d\u0917 \u0939\u0948\u0902, \u092f\u093e\u0928\u0940 \\(25 \u00d7 0.01\\)\u0964 \u0910\u0938\u0947 4, 0.25 \u092e\u093f\u0932\u0915\u0930 \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902, \u091c\u0948\u0938\u093e \u0915\u093f \u091a\u093f\u0924\u094d\u0930-2 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f 0.25 \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u092f\u093e \u092b\u0932\u0915 \u0915\u093e \\(\\frac{1}{4}\\) \u0939\u0948\u0964 <\/li>\n<\/ul>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"672\" height=\"678\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-1.jpg\" alt=\"division-fig-1\" class=\"wp-image-22342\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-1.jpg 672w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-1-357x360.jpg 357w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-1-200x202.jpg 200w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-1-150x150.jpg 150w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-1<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"646\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-2.jpg\" alt=\"division-fig-2\" class=\"wp-image-22345\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-2.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-2-357x360.jpg 357w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-2-200x202.jpg 200w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-fig-2-150x150.jpg 150w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-2<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<ul class=\"wp-block-list\">\n<li><em>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u093e, \u0935\u093f\u0936\u0947\u0937\u0915\u0930 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0914\u0930 \u0926\u0938 \u0915\u0940 \u0918\u093e\u0924\u094b\u0902 \u0915\u0947 \u0917\u0941\u0923\u0928\u092b\u0932,<\/em> <span class=\"math mobile-view\">\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \\(0.34\\ \\times\\ 0.002 = \\frac{34}{100}\\ \\times\\ \\frac{2}{1000} = \\frac{34\\ \\times\\ 2}{100 \\times1000} = \\frac{68}{100000} = 0.00068\\)<\/span><\/li>\n\n\n\n<li><em>\u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u0915\u0947 \u092d\u093e\u0917, \u0935\u093f\u0936\u0947\u0937\u0915\u0930 \u092f\u0939 \u0938\u092e\u091d \u0915\u093f \u0915\u093f\u0938\u0940 \u092d\u093f\u0928\u094d\u0928 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u093e \u0909\u0938 \u092d\u093f\u0928\u094d\u0928 \u0915\u0947 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/em><br\/>\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \\(\\frac{3}{4}\\) \u00f7 \\(\\frac{2}{5} = \\frac{3}{4} \\times \\frac{5}{2} \\) (\u0915\u0947 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \\(\\frac{2}{5} \\)) = \\(\\frac{15}{8} = 1\\frac{7}{8} \\)<\/li>\n<\/ul>\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \u0939\u092e \u0928\u0940\u091a\u0947 \u0926\u0940 \u0917\u0908 \u091a\u093e\u0930 \u0938\u092e\u094d\u092d\u093e\u0935\u093f\u0924 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092d\u093e\u0917 \u0915\u0940 \u092a\u0921\u093c\u0924\u093e\u0932 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n<h2 class=\"wp-block-heading\">\u092a\u094d\u0930\u0915\u093e\u0930\/\u0938\u094d\u0925\u093f\u0924\u093f\u092f\u093e\u0901<\/h2>\n\n<ol class=\"wp-block-list\">\n<li>\u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n\n\n\n<li>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n\n\n\n<li>\u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\n<ol style=\"list-style-type:lower-alpha\" class=\"wp-block-list mb-0\">\n<li>= \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n\n\n\n<li>= \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\n<ol style=\"list-style-type:lower-alpha\" class=\"wp-block-list mb-0\">\n<li>= \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n\n\n\n<li>= \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n<p class=\"wp-block-paragraph\">\u0905\u0930\u094d\u0925\u093e\u0924 \u092d\u093e\u091c\u094d\u092f \u0935 \u092d\u093e\u091c\u0915 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902 \u092f\u093e \u092b\u093f\u0930 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u092d\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964 \u091c\u0948\u0938\u0947-\u091c\u0948\u0938\u0947 \u0939\u092e \u0906\u0917\u0947 \u092c\u0922\u093c\u0947\u0902\u0917\u0947 \u0939\u092e \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u093f \u092d\u093e\u091c\u094d\u092f \u0915\u0940 \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u0909\u0924\u0928\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0928\u0939\u0940\u0902 \u0939\u0948, \u091c\u093f\u0924\u0928\u0940 \u0915\u093f \u092d\u093e\u091c\u0915 \u0915\u0940 \u0939\u0948\u0964 (\u092f\u0939\u0940 \u092c\u093e\u0924 \u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u0915\u0947 \u0935\u093f\u092d\u093e\u091c\u0928 \u092e\u0947\u0902 \u092d\u0940 \u0926\u0947\u0916\u0940 \u0917\u0908 \u0939\u0948\u0964)  <\/p>\n\n<h3 class=\"wp-block-heading\"><strong>\u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/h3>\n\n<p class=\"wp-block-paragraph\">\u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u092d\u093e\u091c\u094d\u092f \u0914\u0930 \u092d\u093e\u091c\u0915 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902\u0964<br\/>\u092f\u0926\u093f \u092d\u093e\u091c\u0915 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0924\u094b \u0907\u0938\u0947 \u0910\u0938\u0947 <span>\u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u093e\u0928\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u091c\u093f\u0928\u0915\u0947 \u092c\u0940\u091a \u092d\u093e\u091c\u094d\u092f \u0915\u094b \u092c\u0930\u093e\u092c\u0930-\u092c\u0930\u093e\u092c\u0930 \u092c\u093e\u0901\u091f\u093e \u091c\u093e\u0928\u093e \u0939\u0948,<\/span> \u092f\u093e\u0928\u0940 \u092f\u0939\u093e\u0901 \u2018<span>\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u0947<\/span>\u2019 \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, 12 \u00f7 40 \u092e\u0947\u0902 12 \u0915\u094b 40 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u093e\u0901\u091f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f 3\u0921\u0940 \u092e\u0949\u0921\u0932 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092f\u0939 \u0915\u0948\u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964  <\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"wp-block-paragraph\">12 \u0918\u0928\u094b\u0902 \u0915\u094b 40 \u0926\u094d\u0935\u093e\u0930\u093e \u0938\u0940\u0927\u0947-\u0938\u0940\u0927\u0947 \u0924\u094b \u0928\u0939\u0940\u0902 \u092c\u093e\u0901\u091f\u093e \u091c\u093e \u0938\u0915\u0924\u093e\u0964 \u0907\u0938\u0932\u093f\u090f \u0939\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0918\u0928 \u0915\u094b 10 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902 (\u091a\u093f\u0924\u094d\u0930-3) <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"81\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img3.png\" alt=\"division-img3\" class=\"wp-image-22302\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-3<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1232\" height=\"123\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img4.png\" alt=\"division-img4\" class=\"wp-image-22306\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img4.png 1232w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img4-640x64.png 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img4-360x36.png 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img4-768x77.png 768w\" sizes=\"auto, (max-width: 1232px) 100vw, 1232px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-4<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u2234 12 \u00f7 40 = 0.3 (\u091a\u093f\u0924\u094d\u0930-4)<\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"wp-block-paragraph\">\u092f\u0926\u093f \u0907\u0938\u0940 \u092d\u093e\u0917 \u0915\u094b \u0939\u092e 2\u0921\u0940 \u092e\u0949\u0921\u0932 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947 \u0939\u0932 \u0915\u0930\u0947\u0902 \u0924\u094b 12 \u092b\u0932\u0915 40 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0938\u0940\u0927\u0947-\u0938\u0940\u0927\u0947 \u0924\u094b \u0928\u0939\u0940\u0902 \u092c\u093e\u0901\u091f\u0947 \u091c\u093e \u0938\u0915\u0924\u0947\u0964 \u0907\u0938\u0932\u093f\u090f \u0939\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092b\u0932\u0915 \u0915\u094b 10 \u092a\u091f\u094d\u091f\u093f\u092f\u094b\u0902 (\u091a\u093f\u0924\u094d\u0930-5) \u092e\u0947\u0902 \u092c\u0926\u0932 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"794\" height=\"225\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img5.png\" alt=\"division-img5\" class=\"wp-image-22309\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img5.png 794w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img5-640x181.png 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img5-360x102.png 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img5-768x218.png 768w\" sizes=\"auto, (max-width: 794px) 100vw, 794px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-5<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/division-img6-hi.png\" alt=\"division-img6\" class=\"wp-image-15001\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-6<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u092e\u0949\u0921\u0932 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0939\u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u092d\u093e\u0917\u092b\u0932 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964<\/p>\n\n<h3 class=\"wp-block-heading\"><strong>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/h3>\n\n<p class=\"wp-block-paragraph\">0.24 \u00f7 5 \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 \u091a\u0942\u0901\u0915\u093f \u092f\u0939\u093e\u0901 \u092d\u0940 \u092d\u093e\u091c\u0915 \u090f\u0915 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0939\u092e \u092d\u093e\u0917 \u0915\u0947 \u2018\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u0947\u2019 \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f, \u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 0.24 \u0915\u094b 5 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092c\u0930\u093e\u092c\u0930-\u092c\u0930\u093e\u092c\u0930 \u092c\u093e\u0901\u091f\u093e \u091c\u093e\u0928\u093e \u0939\u0948\u0964  <\/p>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"458\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img-7.jpg\" alt=\"division-img-7\" class=\"wp-image-22321\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img-7.jpg 1280w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img-7-640x229.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img-7-360x129.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img-7-768x275.jpg 768w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-7<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u092a\u0939\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 2 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0915\u094b 20 \u091b\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932 \u0926\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u092b\u093f\u0930 \u0907\u0928\u094d\u0939\u0947\u0902 5 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u093e\u0901\u091f\u093e \u0917\u092f\u093e \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 4 \u091b\u0921\u093c\u0947\u0902 (0.04) \u092e\u093f\u0932\u0940\u0902\u0964 4 \u091b\u0921\u093c\u0947\u0902 \u092c\u093e\u0915\u093c\u0940 \u0930\u0939 \u0917\u0908\u0902 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0909\u0928\u094d\u0939\u0947\u0902 5 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930-\u092c\u0930\u093e\u092c\u0930 \u0928\u0939\u0940\u0902 \u092c\u093e\u0901\u091f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-7)\u0964 <\/p>\n\n<p class=\"wp-block-paragraph\">\u0926\u0942\u0938\u0930\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902, 4 \u091b\u0921\u093c\u094b\u0902 \u0915\u094b 40 \u091b\u094b\u091f\u0947 \u0918\u0928\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932 \u0926\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u092b\u093f\u0930 \u0907\u0928\u094d\u0939\u0947\u0902 5 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u093e\u0901\u091f\u093e \u0917\u092f\u093e \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 8 \u091b\u094b\u091f\u0947 \u0918\u0928 (0.008) \u092e\u093f\u0932\u0924\u0947 \u0939\u0948\u0902 (\u091a\u093f\u0924\u094d\u0930-8)\u0964<\/p>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1946\" height=\"216\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8.png\" alt=\"division-img8\" class=\"wp-image-22315\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8.png 1946w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8-640x71.png 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8-1280x142.png 1280w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8-360x40.png 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8-768x85.png 768w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-img8-1536x170.png 1536w\" sizes=\"auto, (max-width: 1946px) 100vw, 1946px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-8<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0926\u094b\u0928\u094b\u0902 \u092c\u093e\u0930 \u0915\u0947 \u0935\u093f\u0924\u0930\u0923 \u0915\u094b \u092e\u093f\u0932\u093e\u0915\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 0.04 + 0.008 = 0.048 \u092e\u093f\u0932\u0924\u093e \u0939\u0948, \u092f\u093e\u0928\u0940 \u0915\u093f 0.24 \u00f7 5 = 0.048 (\u091a\u093f\u0924\u094d\u0930-9)\u0964<\/p>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1539\" height=\"672\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9.png\" alt=\"division-decimal-fig9\" class=\"wp-image-22574\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9.png 1539w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9-640x279.png 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9-1280x559.png 1280w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9-360x157.png 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9-768x335.png 768w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/division-decimal-fig9-1536x671.png 1536w\" sizes=\"auto, (max-width: 1539px) 100vw, 1539px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-9<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0935\u0948\u0915\u0932\u094d\u092a\u093f\u0915 \u0924\u0930\u0940\u0915\u093c\u0947 \u0938\u0947 \u0926\u0947\u0916\u0947\u0902, \u0924\u094b \u0939\u092e 0.24 \u092f\u093e\u0928\u0940 \u0915\u093f 2 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0914\u0930 4 \u091b\u0921\u093c\u094b\u0902 \u0915\u094b 240 \u091b\u094b\u091f\u0947 \u0918\u0928\u094b\u0902 (0.001) \u092e\u0947\u0902 \u092c\u0926\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u092b\u093f\u0930 \u0907\u0928\u094d\u0939\u0947\u0902 5 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u093e\u0901\u091f\u093e \u091c\u093e\u090f \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 48 \u091b\u094b\u091f\u0947 \u0918\u0928 \u092f\u093e\u0928\u0940 \u0915\u093f 0.048 \u092e\u093f\u0932\u0924\u0947 \u0939\u0948\u0902\u0964 \u0924\u094b \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0924\u0930\u0940\u0915\u093c\u094b\u0902 \u0938\u0947 0.24 \u00f7 5 = 0.048 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 <\/p>\n\n<h3 class=\"wp-block-heading\"><strong>\u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e = \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/h3>\n\n<p class=\"wp-block-paragraph\">\u0905\u0932\u092c\u0924\u094d\u0924\u093e, \u092f\u0926\u093f \u092d\u093e\u091c\u0915 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u0948, \u0924\u094b \u092f\u0939 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u0948\u0938\u0940 \u0915\u093f\u0938\u0940 \u0930\u093e\u0936\u093f \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0928\u0939\u0940\u0902 \u0915\u0930 \u0938\u0915\u0924\u093e\u0964 \u0924\u094b, \u091c\u092c \u092d\u093e\u091c\u0915 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b \u0924\u092c \u0939\u092e <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u0947\u2019 \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925<\/span> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0928\u0939\u0940\u0902 \u0915\u0930 \u0938\u0915\u0924\u0947\u0964 \u0907\u0938\u0932\u093f\u090f \u0910\u0938\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u092d\u093e\u0917 \u0915\u0947 <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019 (\u092e\u093e\u0924\u094d\u0930\u093e) \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925<\/span> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e \u091c\u094d\u093c\u092f\u093e\u0926\u093e \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u092d\u093e\u091c\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u0939 \u0930\u093e\u0936\u093f \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b \u092e\u093f\u0932\u0924\u0940 \u0939\u0948 \u0914\u0930 \u092d\u093e\u0917\u092b\u0932 \u0915\u0941\u0932 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964   <\/p>\n\n<p class=\"wp-block-paragraph\">\u0924\u094b 12 \u00f7 0.3 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 0.3 \u092f\u093e 3 \u092a\u094d\u200d\u0932\u0947\u091f\u0947\u0902 (0.1) \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902\u0964 12 \u0918\u0928\u094b\u0902 \u0915\u094b 120 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u092e\u0947\u0902 \u0924\u092c\u094d\u0926\u0940\u0932 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u091a\u0942\u0901\u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 3 \u092a\u094d\u200d\u0932\u0947\u091f\u0947\u0902 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902, \u0907\u0938\u0932\u093f\u090f 120 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0915\u094b 120 \u00f7 3 = 40 \u0938\u092e\u0942\u0939\u094b\u0902 (\u091a\u093f\u0924\u094d\u0930-10) \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u092d\u093e\u0917\u092b\u0932 \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b \u0924\u094b \u092f\u0939 \u0905\u0930\u094d\u0925 \u0905\u091a\u094d\u091b\u0947-\u0938\u0947 \u0915\u093e\u092e \u0915\u0930\u0924\u093e \u0939\u0948\u0964   <\/p>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/division-img10-hi.png\" alt=\"division-img10\" class=\"wp-image-15020\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-10<\/figcaption><\/figure>\n\n<h3 class=\"wp-block-heading\"><strong>\u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/h3>\n\n<p class=\"wp-block-paragraph\">\u091c\u092c \u092d\u093e\u0917\u092b\u0932 \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e \u0928 \u0939\u094b \u0924\u094b \u092d\u093e\u0917 \u0915\u093e \u092f\u0939 \u0905\u0930\u094d\u0925 \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, 11 \u00f7 0.4 \u091c\u0948\u0938\u0947 \u0915\u093f\u0938\u0940 \u0938\u0935\u093e\u0932 \u0915\u0947 \u0932\u093f\u090f \u092f\u0939 \u0905\u0930\u094d\u0925 \u092e\u0926\u0926\u0917\u093e\u0930 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e\u0964 <\/p>\n\n<p class=\"wp-block-paragraph\">\u092f\u0939\u093e\u0901 11 \u0918\u0928\u094b\u0902 \u0915\u094b 110 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0939\u092e 110 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0915\u094b \u0915\u0941\u091b \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0907\u0938 \u0924\u0930\u0939 \u092c\u093e\u0901\u091f\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 4 \u092a\u094d\u200d\u0932\u0947\u091f\u0947\u0902 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902, \u092f\u093e\u0928\u0940 \u0915\u093f 110 \u00f7 4 (\u091a\u093f\u0924\u094d\u0930-11) <\/p>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/division-img11-hi.png\" alt=\"division-img11\" class=\"wp-image-15023\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-11<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0924\u092c 108 (110 \u092e\u0947\u0902 \u0938\u0947) \u092a\u094d\u200d\u0932\u0947\u091f\u0947\u0902 27 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u092c\u093e\u0901\u091f\u0940 \u091c\u093e \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964 \u0932\u0947\u0915\u093f\u0928 2 \u092a\u094d\u200d\u0932\u0947\u091f\u0947\u0902, \u092f\u093e\u0928\u0940 \u0915\u093f 0.2, \u092c\u091a \u091c\u093e\u0924\u0940 \u0939\u0948\u0902 \u0935 \u0907\u0928\u094d\u0939\u0947\u0902 \u0914\u0930 \u092c\u093e\u0901\u091f\u093e \u0928\u0939\u0940\u0902 \u091c\u093e \u0938\u0915\u0924\u093e \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0939 \u092c\u0939\u0941\u0924 \u0939\u0940 \u091b\u094b\u091f\u0940 (0.2 &lt; 0.4) \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f \u0910\u0938\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u092e\u0948\u0928\u093f\u092a\u094d\u092f\u0942\u0932\u0947\u091f\u093f\u0935\u094d\u0938 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019 \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925 \u0915\u093e \u0915\u094b\u0908 \u092e\u0924\u0932\u092c \u0928\u0939\u0940\u0902 \u0930\u0939 \u091c\u093e\u0924\u093e \u0939\u0948\u0964  <\/p>\n\n<h3 class=\"wp-block-heading\"><strong>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e = \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/h3>\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \u0939\u092e 0.42 \u00f7 0.14 \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 0.42 (4 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0914\u0930 2 \u091b\u0921\u093c\u094b\u0902) \u0915\u094b \u0915\u0941\u091b \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u0907\u0938 \u0924\u0930\u0939 \u092c\u093e\u0901\u091f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b 0.14 (1 \u092a\u094d\u200d\u0932\u0947\u091f \u0914\u0930 4 \u091b\u0921\u093c\u0947\u0902) \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902\u0964 \u0905\u092c 4 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0914\u0930 2 \u091b\u0921\u093c\u094b\u0902 \u0915\u094b 3 \u092a\u094d\u200d\u0932\u0947\u091f\u094b\u0902 \u0914\u0930 12 \u091b\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f \u0907\u0928\u094d\u0939\u0947\u0902 3 \u0938\u092e\u0942\u0939\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b 1 \u092a\u094d\u200d\u0932\u0947\u091f \u0914\u0930 4 \u091b\u0921\u093c\u0947\u0902 \u092f\u093e\u0928\u0940 0.14 \u092e\u093f\u0932\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930- 12)\u0964   <br\/>\u2234 0.42 \u00f7 0.14 = 3<\/p>\n\n<p class=\"wp-block-paragraph\">\u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019<\/span> \u0935\u093e\u0932\u093e \u0905\u0930\u094d\u0925 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092d\u093e\u0917\u092b\u0932 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964<\/p>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/division-img12-hi.png\" alt=\"division-img12\" class=\"wp-image-15062\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-12<\/figcaption><\/figure>\n\n<h3 class=\"wp-block-heading\"><strong>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/h3>\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \u0939\u092e 0.42 \u00f7 1.4 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0926\u0947\u0916\u0947\u0902 \u0915\u093f \u092e\u0948\u0928\u093f\u092a\u094d\u092f\u0942\u0932\u0947\u091f\u093f\u0935\u094d\u0938 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947 \u0907\u0938\u0947 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0915\u094b\u0936\u093f\u0936 \u092e\u0947\u0902 \u0939\u092e\u0947\u0902 \u0915\u093f\u0928 \u0926\u093f\u0915\u094d\u093c\u0915\u093c\u0924\u094b\u0902 \u0915\u093e \u0938\u093e\u092e\u0928\u093e \u0915\u0930\u0928\u093e \u092a\u0921\u093c \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u0947 \u0932\u093f\u090f \u0939\u092e 3\u0921\u0940 \u092e\u0949\u0921\u0932 \u0915\u0940 \u092c\u091c\u093e\u092f 2\u0921\u0940 \u092e\u0949\u0921\u0932 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964  <\/p>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/division-img13-hi-1.png\" alt=\"division-img13\" class=\"wp-image-15031\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-13<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u091c\u093c\u093e\u0939\u093f\u0930 \u0939\u0948 \u0915\u093f \u092c\u093e\u0901\u091f\u0940 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u093e\u0936\u093f, \u092f\u093e\u0928\u0940 \u0915\u093f \u092d\u093e\u091c\u094d\u092f 0.42, \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u0915\u094b \u092e\u093f\u0932\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u093e\u0936\u093f, \u092f\u093e\u0928\u0940 \u0915\u093f \u092d\u093e\u091c\u0915 1.4 \u0938\u0947 \u091b\u094b\u091f\u0940 \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f \u092e\u0948\u0928\u093f\u092a\u094d\u092f\u0942\u0932\u0947\u091f\u093f\u0935\u094d\u0938 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947 \u0907\u0938 \u092d\u093e\u0917 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019<\/span> \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e \u0905\u0938\u092e\u094d\u092d\u0935 \u0939\u0948\u0964 <\/p>\n\n<p class=\"wp-block-paragraph\"> \u0905\u092c \u0939\u092e 2.03 \u00f7 0.5 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u092d\u093e\u091c\u094d\u092f (2.03) \u092d\u093e\u091c\u0915 (0.5) \u0938\u0947 \u092c\u0921\u093c\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u092b\u093f\u0930 \u092d\u0940 \u092d\u093e\u0917 \u0905\u0927\u0942\u0930\u093e \u0930\u0939\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-14), \u0915\u094d\u092f\u094b\u0902\u0915\u093f 0.03 \u0915\u094b \u0914\u0930 \u092c\u093e\u0901\u091f\u093e \u0928\u0939\u0940\u0902 \u091c\u093e \u0938\u0915\u0924\u093e\u0964 \u0907\u0938\u0915\u093e \u0915\u093e\u0930\u0923 \u092f\u0939 \u0939\u0948 \u0915\u093f \u092f\u0939 \u092c\u0939\u0941\u0924 \u091b\u094b\u091f\u093e (0.03 &lt; 1.4) \u0939\u0948\u0964 \u0924\u094b \u090f\u0915 \u092c\u093e\u0930 \u092b\u093f\u0930 <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019<\/span> \u0935\u093e\u0932\u093e \u0905\u0930\u094d\u0925 \u0915\u093e\u092e \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e\u0964 \u0924\u094b, (\u091a\u093f\u0924\u094d\u0930: \u0926\u094b \u092b\u0932\u0915 \u0914\u0930 \u0924\u0940\u0928 \u091b\u094b\u091f\u0947 \u0918\u0928) \u0915\u094b (\u091a\u093f\u0924\u094d\u0930: 5 \u091b\u0921\u093c\u0947\u0902) \u092a\u094d\u0930\u0924\u093f \u0938\u092e\u0942\u0939 \u0915\u0947 \u0939\u093f\u0938\u093e\u092c \u0938\u0947 \u092c\u093e\u0901\u091f\u0928\u0947 \u092a\u0930 \u0910\u0938\u0947 4 \u0938\u092e\u0942\u0939 \u092c\u0928\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 3 \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u092c\u091a\u0940 \u0930\u0939 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964<\/p>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/division-img14-hi.png\" alt=\"division-img14\" class=\"wp-image-15034\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-14<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u092f\u0939 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u093f \u092e\u0948\u0928\u093f\u092a\u094d\u092f\u0942\u0932\u0947\u091f\u093f\u0935\u094d\u0938 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0928\u093e \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, 0.000042 \u00f7 0.000014 \u0915\u094b \u092e\u0948\u0928\u093f\u092a\u094d\u092f\u0942\u0932\u0947\u091f\u093f\u0935\u094d\u0938 \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0928\u0939\u0940\u0902 \u091c\u093e \u0938\u0915\u0924\u093e, \u0932\u0947\u0915\u093f\u0928 \u092f\u0926\u093f \u0939\u092e \u092f\u0939 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0947\u0902 \u0915\u093f \u091b\u094b\u091f\u0947 \u091f\u0941\u0915\u0921\u093c\u0947 0.00001 \u0914\u0930 0.000001 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0928\u093f\u0927\u093f\u0924\u094d\u0935 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019<\/span> \u0938\u0947 \u0907\u0938\u0947 \u0938\u092e\u091d\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0939\u092e\u0947\u0902 \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f\u0924\u093e \u0924\u092d\u0940 \u0906\u0908 \u091c\u092c \u0939\u092e\u0928\u0947 \u0907\u0938\u0915\u0940 \u092a\u0921\u093c\u0924\u093e\u0932 \u0915\u0940\u0964  <\/p>\n\n<p class=\"wp-block-paragraph\">\u0924\u094b \u091c\u092c \u092d\u0940 <span>\u092d\u093e\u091c\u0915<\/span> \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b, \u0924\u092c \u092d\u093e\u0917 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u0947\u2019<\/span> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0940 \u0924\u0930\u0939 \u091c\u092c \u092d\u093e\u0917\u092b\u0932 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b \u0924\u094b <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019<\/span> \u0909\u0938 \u092d\u093e\u0917 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u092f\u0926\u093f \u092d\u093e\u091c\u0915 \u0914\u0930 \u092d\u093e\u0917\u092b\u0932 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093e \u0939\u094b\u0902 \u0924\u094b \u0910\u0938\u0947 \u092d\u093e\u0917 \u0915\u094b \u0939\u092e \u0915\u093f\u0938 \u0924\u0930\u0939 \u0938\u092e\u091d\u0947\u0902? \u0916\u093c\u093e\u0938\u0924\u094c\u0930 \u092a\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0926\u094b \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902, \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u090a\u092a\u0930 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u092e\u0947\u0902 \u0910\u0938\u093e \u0939\u094b\u0924\u093e \u0939\u0948:   <\/p>\n\n<ol class=\"wp-block-list\">\n<li>\u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n\n\n\n<li>\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u00f7 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e = \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e<\/li>\n<\/ol>\n\n<p class=\"wp-block-paragraph\">\u090f\u0915 \u0938\u092e\u094d\u092d\u093e\u0935\u0928\u093e \u092f\u0939 \u0939\u0948 \u0915\u093f \u0907\u0928\u094d\u0939\u0947\u0902 \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u2018\u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u0915\u0947 \u092d\u093e\u0917\u2019 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e \u091c\u093e\u090f, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u092d\u093f\u0928\u094d\u0928\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0914\u0930 \u091a\u0949\u0915\u0932\u0947\u091f \u092a\u094d\u0932\u0947\u091f \u092e\u0949\u0921\u0932* \u092d\u093f\u0928\u094d\u0928\u094b\u0902 (\u0914\u0930 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902) \u0915\u0947 \u092d\u093e\u0917 \u0915\u0940 \u0938\u092d\u0940 \u0938\u092e\u094d\u092d\u093e\u0935\u093f\u0924 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u0915\u094b \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0930\u0942\u092a \u0938\u0947 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n\n<p class=\"box-style-two wp-block-paragraph\"><strong>\u091a\u0949\u0915\u0932\u0947\u091f \u092a\u094d\u0932\u0947\u091f \u092e\u0949\u0921\u0932 :<\/strong> \\(p\\) \u00f7 \\(q\\) \u0915\u0947 \u0932\u093f\u090f, \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \\(p\\) \u091a\u0949\u0915\u0932\u0947\u091f \u0939\u0948\u0902 \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \\(q\\) \u092a\u094d\u0932\u0947\u091f\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u093e \u091c\u093e\u0928\u093e \u0939\u0948\u0964 \u092d\u093e\u0917\u092b\u0932 \u090f\u0915 \u092a\u094d\u0932\u0947\u091f \u092e\u0947\u0902 \u091a\u0949\u0915\u0932\u0947\u091f \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964 \\(p\\) \u0914\u0930 \\(q\\) \u0926\u094b\u0928\u094b\u0902 \u0915\u094b\u0908 \u092d\u0940 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u092f\u093e \u092d\u093f\u0928\u094d\u0928 \u0938\u0902\u0916\u094d\u092f\u093e \u092f\u093e\u0928\u0940 \u0915\u093f \u0907\u0915\u093e\u0908 \u092d\u093f\u0928\u094d\u0928, \u0909\u091a\u093f\u0924 \u092d\u093f\u0928\u094d\u0928 \u092f\u093e \u0935\u093f\u0937\u092e \u092d\u093f\u0928\u094d\u0928 \u092d\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964  <\/p>\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \u0939\u092e \u0909\u0928 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u0939\u093e\u0901 \u092d\u093e\u0917 \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0905\u0930\u094d\u0925 \u0915\u093e\u092e \u0928\u0939\u0940\u0902 \u0906\u090f,<\/p>\n\n<ol style=\"list-style-type:lower-roman\" class=\"wp-block-list\">\n<li>\\(11\\) \u00f7 \\(0.4\\),<\/li>\n\n\n\n<li>\\(0.42\\) \u00f7 \\(1.4\\) \u0914\u0930<\/li>\n\n\n\n<li>\\(2.03\\) \u00f7 \\(0.5\\).<\/li>\n<\/ol>\n\n<ol start=\"1\" class=\"wp-block-list list-type-roman\">\n<li><span class=\"math mobile-view\">\\(11\\) \u00f7 \\(0.4 = 11\\) \u00f7 \\(\\frac{4}{10} = 11 \\times \\frac{10}{4} = \\frac{11 \\times 10}{4} = 110\\) \u00f7 \\(4\\)<\/span><\/li>\n<\/ol>\n\n<p class=\"wp-block-paragraph\">\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f <span>\u2018\u092c\u0930\u093e\u092c\u0930<\/span> \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923\u2019 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947 \u092d\u0940 \u0939\u092e \u0907\u0938\u0940 \u091c\u0935\u093e\u092c \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0947 \u0925\u0947, \u0932\u0947\u0915\u093f\u0928 \u091a\u0942\u0901\u0915\u093f \u0935\u0939\u093e\u0901 \u092d\u093e\u0917\u092b\u0932 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0925\u093e, \u0907\u0938\u0932\u093f\u090f \u0909\u0938\u0915\u093e \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0928\u093e \u091c\u093c\u0930\u0942\u0930\u0940 \u0925\u093e\u0964 \u0932\u0947\u0915\u093f\u0928 \u092f\u0939\u093e\u0901 \u092a\u0930 \u0910\u0938\u0940 \u0915\u094b\u0908 \u092a\u093e\u092c\u0928\u094d\u0926\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0939\u093e\u0901 \u0939\u092e \u092d\u093e\u0917 \u0915\u0947 \u0909\u0938 \u0905\u0930\u094d\u0925 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0928\u0939\u0940\u0902 \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964 \u0905\u092c \u0939\u092e \\(110\\) \u00f7 \\(4\\) \u0915\u0947 \u0932\u093f\u090f <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u0947\u2019<\/span> \u0935\u093e\u0932\u0947 \u0905\u0930\u094d\u0925 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902\u0964  <\/p>\n\n<p class=\"wp-block-paragraph\">\u0907\u0938 \u092a\u0930 \u092d\u0940 \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \\(110\\) \u00f7 \\(4 = (11 \u00d7 10)\\) \u00f7 \\((0.4 \u00d7 10)\\), \u092f\u093e\u0928\u0940 \u0915\u093f \u092d\u093e\u091c\u094d\u092f \u0914\u0930 \u092d\u093e\u091c\u0915 \u0926\u094b\u0928\u094b\u0902 \u0915\u094b \u0939\u0940 10 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u093e\u0915\u093f \u0926\u0936\u092e\u0932\u0935 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u094b \u0916\u093f\u0938\u0915\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0947 \u0914\u0930 \u092d\u093e\u091c\u0915 \u0915\u094b \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0928\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0947\u0964<\/p>\n\n<ol start=\"2\" class=\"wp-block-list list-type-roman\">\n<li>\\(0.42\\) \u00f7 \\(1.4 = \\frac{42}{100}\\) \u00f7 \\(\\frac{14}{10} = \\frac{42}{100} \\times \\frac{10}{14} = \\frac{42}{140} = 4.2\\) \u00f7 \\(14\\)<\/li>\n<\/ol>\n\n<p class=\"wp-block-paragraph\">\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u092f\u0926\u093f \u0939\u092e \u0915\u0947\u0935\u0932 \u092d\u093e\u091c\u0915 \u0915\u094b \u092d\u093f\u0928\u094d\u0928 \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0947 \u0939\u0948\u0902, \u0924\u092c \u092d\u0940 \u0939\u092e\u0947\u0902 \u092f\u0939\u0940 \u091c\u0935\u093e\u092c \u092e\u093f\u0932\u0924\u093e \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f<\/p>\n\n<p class=\"wp-block-paragraph\"><span class=\"math mobile-view\">\\(0.42\\) \u00f7\\( \\frac{14}{10} = 0.42 \\times \\frac{10}{14} = \\frac{0.42 \\times 10}{140} = 4.2\\) \u00f7\\(14 = (0.42 \\times 10)\\) \u00f7 \\((1.4 \\times 10)\\)<\/span><\/p>\n\n<p class=\"wp-block-paragraph\">\u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0939\u092e\u0928\u0947 \u092b\u093f\u0930 \u0938\u0947 \u092d\u093e\u091c\u094d\u092f \u0935 \u092d\u093e\u091c\u0915 \u0926\u094b\u0928\u094b\u0902 \u0915\u094b 10 \u0915\u0940 \u0938\u092e\u093e\u0928 \u0918\u093e\u0924 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u092f\u093e\u0964 \u0910\u0938\u093e \u0907\u0938\u0932\u093f\u090f \u0915\u093f\u092f\u093e \u0924\u093e\u0915\u093f \u0909\u0928\u0915\u0947 \u0926\u0936\u092e\u0932\u0935 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u094b \u0916\u093f\u0938\u0915\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0947\u0964 \u0907\u0938 \u0924\u0930\u0939 \u0916\u093f\u0938\u0915\u093e\u0928\u0947 \u0938\u0947 \u092d\u093e\u091c\u0915 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0928 \u091c\u093e\u0924\u093e \u0939\u0948\u0964  <\/p>\n\n<ol start=\"3\" class=\"wp-block-list list-type-roman\">\n<li><span class=\"math mobile-view\">\\(2.03\\) \u00f7 \\(0.5 = 2.03\\) \u00f7\\( \\frac{5}{10} = 2.03 \\times \\frac{10}{5} = \\frac{2.03 \\times 10}{5} = 20.3\\) \u00f7 \\(5\\) \\(= (2.03 \\times 10)\\)\u00f7\\((0.5 \\times 10),\\)<\/span>\u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u090f\u0915 \u092c\u093e\u0930 \u092b\u093f\u0930 \u0926\u0936\u092e\u0932\u0935 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u094b \u0916\u093f\u0938\u0915\u093e\u0928\u0947 \u0914\u0930 \u092d\u093e\u091c\u0915 \u0915\u094b \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092d\u093e\u091c\u094d\u092f \u0935 \u092d\u093e\u091c\u0915 \u0926\u094b\u0928\u094b\u0902 \u0915\u094b \u0938\u092e\u093e\u0928 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ol>\n\n<p class=\"wp-block-paragraph\">\u092f\u0939\u0940 \u0935\u0939 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u091c\u094b \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924: \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u092c\u093f\u0928\u093e \u0915\u093f\u0938\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0947\u0964<\/p>\n\n<p class=\"wp-block-paragraph\">\u0924\u094b, \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0935\u093e\u0932\u0947 \u092d\u093e\u091c\u0915\u094b\u0902 \u0915\u0947 \u0938\u092d\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0915\u093e\u092e \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u092f\u0939 \u0915\u0930\u0928\u093e \u0905\u0927\u093f\u0915 \u0905\u0930\u094d\u0925\u092a\u0942\u0930\u094d\u0923 \u0939\u094b\u0924\u093e \u0939\u0948 : (i) \u092d\u093e\u091c\u0915 \u0915\u094b \u0910\u0938\u0947 \u092d\u093f\u0928\u094d\u0928 \u092e\u0947\u0902 \u092c\u0926\u0932\u0947\u0902, \u091c\u093f\u0938\u0915\u093e \u0939\u0930 10 \u0915\u0940 \u0915\u094b\u0908 \u0918\u093e\u0924 \u0939\u094b, \u0914\u0930 (ii) \u092b\u093f\u0930 \u092d\u093f\u0928\u094d\u0928 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0902\u0964 \u091c\u092c \u0939\u092e \u0907\u0938 \u2018\u092d\u093f\u0928\u094d\u0928 \u0926\u094d\u0935\u093e\u0930\u093e \u092d\u093e\u0917\u2019 \u0915\u094b \u2018\u092d\u093f\u0928\u094d\u0928 \u0915\u0947 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0938\u0947 \u0917\u0941\u0923\u093e\u2019 \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u092d\u093e\u091c\u094d\u092f \u092e\u0947\u0902 10 \u0915\u0940 \u0918\u093e\u0924 \u0915\u093e \u0917\u0941\u0923\u093e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 10 \u0915\u0940 \u092f\u0939 \u0918\u093e\u0924 \u0926\u0936\u092e\u0932\u0935 \u0935\u093e\u0932\u0947 \u092d\u093e\u091c\u0915 \u0915\u093e \u0939\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0914\u0930 \u092f\u0939 \u0917\u0941\u0923\u0928\u092b\u0932 \u0928\u092f\u093e \u092d\u093e\u091c\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0928\u092f\u093e \u092d\u093e\u091c\u0915 \u092e\u0942\u0932 \u0926\u0936\u092e\u0932\u0935 \u0935\u093e\u0932\u0947 \u092d\u093e\u091c\u0915 \u0915\u093e \u0905\u0902\u0936 \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u094b \u0915\u093f \u090f\u0915 \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964      <\/p>\n\n<p class=\"wp-block-paragraph\">\u0926\u0936\u092e\u0932\u0935 \u092d\u093e\u091c\u0915 \\((DD)\\) = \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e\/10 \u0915\u0940 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0918\u093e\u0924 = \\(N\/10^m\\)<br\/>\u092e\u0942\u0932 \u092d\u093e\u091c\u094d\u092f \\((OD) \\div DD = OD \\div N\/10^m\\) = \\((OD \u00d7 10^m) \\div N\\)<\/p>\n\n<p class=\"wp-block-paragraph\">\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f: \\(3.006 \\div 0.15\\) , \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939\u093e\u0901 \\(DD = 0.15 = \\text{15\/100}\\) \\(N = 15\\) \u0914\u0930 \\(m = 2\\), \u091c\u092c\u0915\u093f \\(OD = 3.006.\\) \u0924\u094b, \\(3.06 \\div 0.15 = 3.006 \\div\\) <span class=\"math mobile-view\">\\(15\/10^2 = (3.006 \u00d7 102) \\div 15 = 300.6 \\div 15.\\)<\/span><\/p>\n\n<p class=\"wp-block-paragraph\">\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u0915\u0947\u0935\u0932 \u092d\u093e\u091c\u0915 \u0915\u094b \u092a\u094d\u0930\u093e\u0915\u0943\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0928\u093e\u0928\u093e \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u092b\u093f\u0930 \u0939\u092e <span>\u2018\u092c\u0930\u093e\u092c\u0930 \u092c\u0901\u091f\u0935\u093e\u0930\u0947\u2019<\/span> \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0938\u0947 \u0915\u094b\u0908 \u092b\u093c\u0930\u094d\u0915\u093c \u0928\u0939\u0940\u0902 \u092a\u0921\u093c\u0924\u093e \u0915\u093f \u092d\u093e\u091c\u094d\u092f \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902\u0964 <\/p>\n\n<p class=\"wp-block-paragraph\">\u0907\u0938 \u092a\u0942\u0930\u0940 \u091a\u0930\u094d\u091a\u093e \u092e\u0947\u0902 \u0939\u092e\u0928\u0947 \u0906\u0935\u0930\u094d\u0924\u0940 \u0926\u0936\u092e\u0932\u0935 (Recurring decimals) \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u091c\u093e\u0928-\u092c\u0942\u091d\u0915\u0930 \u0936\u093e\u092e\u093f\u0932 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u092a\u093e\u0920\u094d\u092f\u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u092f\u0947 \u0909\u091a\u094d\u091a \u092e\u093e\u0927\u094d\u092f\u092e\u093f\u0915 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u0924\u0915 \u0928\u0939\u0940\u0902 \u092a\u0922\u093c\u093e\u0908 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964 \u0907\u0938\u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u0932\u0917\u093e \u0915\u093f \u092f\u0939\u093e\u0901 \u0906\u0935\u0930\u094d\u0924\u0940 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u092a\u094d\u0930\u093e\u0938\u0902\u0917\u093f\u0915 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f \u092f\u0926\u093f \u092d\u093e\u091c\u094d\u092f\u092b\u0932 \u0906\u0935\u0930\u094d\u0924\u0940 \u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b, \u0924\u094b \u092d\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092f\u0939\u0940 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964  <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092d\u093f\u0928\u094d\u0928 \u0914\u0930 \u0926\u0936\u092e\u0932\u0935 \u092a\u0930\u0938\u094d\u092a\u0930 \u0938\u092e\u094d\u092c\u0928\u094d\u0927\u093f\u0924 \u0926\u094b \u0910\u0938\u0940 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u093f\u0928\u092e\u0947\u0902 \u092e\u093e\u0927\u094d\u092f\u092e\u093f\u0915 \u0938\u094d\u0915\u0942\u0932 (\u0915\u0915\u094d\u0937\u093e 6 \u0938\u0947 8) \u0915\u0947 \u092c\u091a\u094d\u091a\u0947 \u0915\u093e\u092b\u093c\u0940 \u0915\u0920\u093f\u0928\u093e\u0908 \u0915\u093e \u0938\u093e\u092e\u0928\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u090f\u0915 \u0924\u094b \u0907\u0928 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0915\u0940 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0928\u093e \u092e\u0941\u0936\u094d\u0915\u093f\u0932 \u0939\u094b\u0924\u093e \u0939\u0948, \u0914\u0930 \u0926\u0942\u0938\u0930\u093e, \u0907\u0928 \u092a\u0930 \u0915\u0940 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u0915\u093e\u092b\u093c\u0940 \u0905\u092e\u0942\u0930\u094d\u0924\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u0938\u093f\u0916\u093e\u0908 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902 \u091c\u093f\u0938\u092e\u0947\u0902 \u0928\u093f\u092f\u092e\u094b\u0902 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":28185,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_wpcom_ai_launchpad_first_post":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[239],"tags":[590,555,562],"stage-class":[1008],"magazine_category":[257],"class_list":["post-10510","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category---hi","tag-590","tag-555","tag-562","stage-class-middle-class-6-8-hi","magazine_category--18--2024"],"acf":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/01\/Division-with-Decimals-thumbnail.png","_links":{"self":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/10510","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/comments?post=10510"}],"version-history":[{"count":10,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/10510\/revisions"}],"predecessor-version":[{"id":24316,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/10510\/revisions\/24316"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/media\/28185"}],"wp:attachment":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/media?parent=10510"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/categories?post=10510"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/tags?post=10510"},{"taxonomy":"stage-class","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/stage-class?post=10510"},{"taxonomy":"magazine_category","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/magazine_category?post=10510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}