{"id":10903,"date":"2024-05-24T11:01:00","date_gmt":"2024-05-24T05:31:00","guid":{"rendered":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/%e0%a4%97%e0%a5%81%e0%a4%a3%e0%a4%a8-%e0%a4%8f%e0%a4%95-%e0%a4%ac%e0%a5%87%e0%a4%b9%e0%a4%a4%e0%a4%b0-%e0%a4%95%e0%a4%b2%e0%a4%a8-%e0%a4%b5%e0%a4%bf%e0%a4%a7%e0%a4%bf\/"},"modified":"2026-05-24T16:43:33","modified_gmt":"2026-05-24T11:13:33","slug":"%e0%a4%97%e0%a5%81%e0%a4%a3%e0%a4%a8-%e0%a4%8f%e0%a4%95-%e0%a4%ac%e0%a5%87%e0%a4%b9%e0%a4%a4%e0%a4%b0-%e0%a4%95%e0%a4%b2%e0%a4%a8-%e0%a4%b5%e0%a4%bf%e0%a4%a7%e0%a4%bf","status":"publish","type":"post","link":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/%e0%a4%97%e0%a5%81%e0%a4%a3%e0%a4%a8-%e0%a4%8f%e0%a4%95-%e0%a4%ac%e0%a5%87%e0%a4%b9%e0%a4%a4%e0%a4%b0-%e0%a4%95%e0%a4%b2%e0%a4%a8-%e0%a4%b5%e0%a4%bf%e0%a4%a7%e0%a4%bf\/","title":{"rendered":"\u0917\u0941\u0923\u0928 : \u090f\u0915 \u092c\u0947\u0939\u0924\u0930 \u0915\u0932\u0928 \u0935\u093f\u0927\u093f"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0939\u092e \\(84 \u00d7 67\\) \u091c\u0948\u0938\u0940 \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902? \u092a\u0939\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0939\u092e \\(84 \u00d7 7\\) \u0915\u094b \u0939\u0932 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u092e\u0947\u0902 \u2018\u0939\u093e\u0938\u093f\u0932\u2019 \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u093e \u092a\u0941\u0928\u0930\u094d\u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0905\u0930\u094d\u0925\u093e\u0924 <span class=\"math mobile-view\">\\(84 \u00d7 7 = (4 + 80) \u00d7 7 = 4 \u00d7 7 + 80 \u00d7 7\\)<\/span>. \u0924\u094b,  <\/p>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"479\" height=\"259\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/multiplication-fig1.jpg\" alt=\"multiplication-fig1\" class=\"wp-image-6307\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/multiplication-fig1.jpg 479w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/multiplication-fig1-360x195.jpg 360w\" sizes=\"auto, (max-width: 479px) 100vw, 479px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-1<\/figcaption><\/figure>\n\n<ul class=\"wp-block-list\">\n<li>\u0939\u092e \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0936\u0941\u0930\u0941\u0906\u0924 \\(4 \u00d7 7 = 28\\) \u0938\u0947 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/li>\n\n\n\n<li>\u0914\u0930 28 \u0915\u0947 \\(8\\) \u0915\u094b \u0928\u0940\u091a\u0947 \u0932\u093f\u0916 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902<\/li>\n\n\n\n<li>\u0939\u092e\u0947\u0902 \u092f\u0939 \u092d\u0940 \u092f\u093e\u0926 \u0930\u0916\u0928\u093e \u0939\u094b\u0917\u093e \u0915\u093f \u0939\u093e\u0938\u093f\u0932 \u0906\u090f \\(2\\) \u0915\u094b \u0905\u0917\u0932\u0947 \u0917\u0941\u0923\u0928\u092b\u0932 \u092e\u0947\u0902 \u091c\u094b\u095c\u0928\u093e \u0939\u0948<\/li>\n\n\n\n<li>\u0905\u092c, \\(80 \u00d7 7\\) \u092f\u093e \u092f\u0942\u0901 \u0915\u0939\u0947\u0902 \u0915\u093f \\(8 \u00d7 7 = 56\\) \u0915\u094b \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964<\/li>\n\n\n\n<li>\u0914\u0930 \u0907\u0938 \u0917\u0941\u0923\u0928\u092b\u0932 \u092e\u0947\u0902 \u0939\u093e\u0938\u093f\u0932 \\(2\\) \u091c\u094b\u095c \u0926\u0947\u0902, \u0905\u0930\u094d\u0925\u093e\u0924 \\(56 + 2 = 58\\)<\/li>\n\n\n\n<li>\u0905\u092c 84 \u00d7 7 \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902 \u092f\u093e\u0928\u0940 \\(84 \u00d7 7 = 588\\)<\/li>\n<\/ul>\n\n<p class=\"wp-block-paragraph\">\u0914\u0930 \u092f\u0939 \u0938\u093f\u0930\u094d\u095e \u091a\u0930\u0923-1 \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-1)!<\/p>\n\n<p class=\"wp-block-paragraph\">\u0906\u092a\u0928\u0947 \u0926\u0947\u0916\u093e \u0915\u093f \u092f\u0939 \u0915\u093f\u0924\u0928\u093e \u091c\u091f\u093f\u0932 \u0939\u0948! \u091c\u092c \u0939\u092e \u2018\u091c\u094b\u095c\u2019 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u092c \u0939\u092e \u0915\u0947\u0935\u0932 \u090f\u0915 \u0939\u0940 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e \u0932\u093e\u0917\u0942 \u0915\u0930 \u0930\u0939\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0907\u0938\u092e\u0947\u0902 \u0938\u092d\u0940 \u0905\u0902\u0915\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u093e \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u092f\u0939\u093e\u0901 \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0939\u0932\u0947 \u0939\u092e\u0947\u0902 \\(8\\) \u0914\u0930 \\(7\\) \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u093e \u092a\u095c\u0924\u093e \u0939\u0948 \u092b\u093f\u0930 \u0907\u0938\u0915\u0947 \u0917\u0941\u0923\u0928\u092b\u0932 \u092e\u0947\u0902 \u0939\u093e\u0938\u093f\u0932 \u0915\u093e \\(2\\) \u091c\u094b\u0921\u093c\u0928\u093e \u092a\u0921\u093c\u0924\u093e \u0939\u0948\u0964 \u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0915\u0939\u0947\u0902 \u0924\u094b, \u0907\u0938 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0926\u094b \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902 \u2014 \u0917\u0941\u0923\u093e \u0914\u0930 \u091c\u094b\u095c\u0964 \u0907\u0938\u0940\u0932\u093f\u090f, \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u093e \u0915\u094d\u0930\u092e \u092e\u093e\u092f\u0928\u0947 \u0930\u0916\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \\((7 \u00d7 8) + 2 \u2260 7 \u00d7 (8 + 2)\\)\u0964 \u0932\u0947\u0915\u093f\u0928 \u092f\u0939 \u0938\u094d\u0935\u093e\u092d\u093e\u0935\u093f\u0915 \u0939\u0948 \u0915\u093f \u0915\u094b\u0908 \u092d\u0940 \u0938\u0940\u0916\u0928\u0947 \u0935\u093e\u0932\u093e \u0907\u0938\u0938\u0947 \u092d\u094d\u0930\u092e\u093f\u0924 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u0939\u0932\u0947 (7 \u0938\u0947) \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902 \u0914\u0930 \u092b\u093f\u0930 (2) \u091c\u094b\u0921\u093c\u0947\u0902 \u092f\u093e \u0907\u0938\u0915\u093e \u0909\u0932\u094d\u091f\u093e \u0915\u0930\u0947\u0902 (\u092f\u093e\u0928\u0940 \u092a\u0939\u0932\u0947 2 \u091c\u094b\u0921\u093c\u0947\u0902 \u0914\u0930 \u092b\u093f\u0930 \\(7\\) \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902)\u0964 \u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e \u091c\u094b\u095c \u0915\u0947 \u0938\u0935\u093e\u0932 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924 \u0917\u0941\u0923\u093e \u092e\u0947\u0902 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u2018\u0939\u093e\u0938\u093f\u0932\u2019 \u0915\u094b \u0915\u0939\u0940\u0902 \u0932\u093f\u0916\u093e \u0928\u0939\u0940\u0902 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u0947 \u092e\u0947\u0902 \u0915\u093e\u092b\u093c\u0940 \u091a\u0940\u095b\u0947\u0902 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u094b \u0927\u094d\u092f\u093e\u0928 \u092e\u0947\u0902 \u0930\u0916\u0928\u0940 \u092a\u0921\u093c\u0924\u0940 \u0939\u0948\u0902\u0964       <\/p>\n\n<p class=\"wp-block-paragraph\">\u092f\u0939\u0940 \u091a\u0930\u0923 \\(84 \u00d7 60\\) \u092f\u093e \\(84 \u00d7 6 = 504\\) \u0915\u0947 \u0932\u093f\u090f \u0926\u094b\u0939\u0930\u093e\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u092e\u0947\u0902 \u092d\u0940 \u2018\u0939\u093e\u0938\u093f\u0932\u2019 \u0926\u0947\u0928\u093e \u092a\u095c\u0924\u093e \u0939\u0948\u0964 \u091a\u0942\u0901\u0915\u093f \u0910\u0938\u0947 \u0915\u0908 \u0939\u093e\u0938\u093f\u0932 \u0915\u0947 \u0905\u0902\u0915 \u0932\u093f\u0916\u0928\u0947 \u0938\u0947 \u092d\u094d\u0930\u092e \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u0915\u094b\u0908 \u092d\u0940 \u0905\u0902\u0915 \u0932\u093f\u0916\u093e \u0928\u0939\u0940\u0902 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u0936\u0941\u0930\u0941\u0906\u0924 \u092e\u0947\u0902 \u0910\u0938\u093e \u0915\u0930\u0928\u093e \u092c\u092e\u0941\u0936\u094d\u0915\u093f\u0932 \u0939\u0940 \u0938\u0940\u0916\u0928\u0947 \u0935\u093e\u0932\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092e\u0926\u0926\u0917\u093e\u0930 \u0939\u094b\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\">\n<figure class=\"wp-block-image size-full is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"142\" height=\"190\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/fig2.jpg?_t=1747811260\" alt=\"fig2\" class=\"wp-image-7583\" style=\"object-fit:cover\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-2<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u0907\u0938\u0915\u0947 \u0905\u0932\u093e\u0935\u093e, \u0907\u0915\u093e\u0908 \u0915\u093e \u0938\u094d\u0925\u093e\u0928 \u0905\u0915\u0938\u0930 \u0959\u093e\u0932\u0940 \u091b\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u093e \u0935\u0939\u093e\u0901 \u2018x\u2019 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948 (\u0926\u0947\u0916\u0947\u0902 \u091a\u093f\u0924\u094d\u0930-2)\u0964 \u092b\u093f\u0930 \u0939\u092e \\(588\\) \u0914\u0930 \\(504x\\) \u091c\u094b\u095c \u0926\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 \u0915\u093f\u0938\u0940 \u0915\u094b \u092d\u0940 8 + x \u091c\u094b\u095c\u0928\u093e \u0928\u0939\u0940\u0902 \u0938\u093f\u0916\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0932\u0947\u0915\u093f\u0928 \u092f\u0939\u093e\u0901 \u0907\u0928\u094d\u0939\u0947\u0902 \u091c\u094b\u095c\u0928\u0947 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964  <\/p>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u092f\u0939 \u0906\u0936\u094d\u091a\u0930\u094d\u092f \u0915\u0940 \u092c\u093e\u0924 \u0939\u0948 \u0915\u093f \u092f\u0939 \u0905\u092d\u0940 \u092d\u0940 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u092e\u0947\u0902 \u091c\u093c\u093e\u0930\u0940 \u0939\u0948 \u091c\u092c\u0915\u093f \u092a\u093e\u0920\u094d\u092f\u092a\u0941\u0938\u094d\u0924\u0915\u094b\u0902 \u092e\u0947\u0902 \u092c\u0926\u0932\u093e\u0935 \u0939\u0941\u090f \u0915\u092e-\u0938\u0947-\u0915\u092e \\(20-25\\) \u0938\u093e\u0932 \u0917\u0941\u095b\u0930 \u091a\u0941\u0915\u0947 \u0939\u0948\u0902\u0964 \u091a\u0942\u0901\u0915\u093f \u0939\u092e \\(10\\) \u0915\u0947 \u0917\u0941\u0923\u091c, \u091c\u094b \u0907\u0938 \u0909\u0926\u093e\u0939\u0930\u0923 \u092e\u0947\u0902 \\(60\\) \u0939\u0948, \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e \\(84 \u00d7 60\\) \u0915\u0947 \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \u0915\u094b \\(5040\\) \u0915\u094d\u092f\u094b\u0902 \u0928\u0939\u0940\u0902 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902? \u0939\u092e \u0909\u092e\u094d\u092e\u0940\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0936\u093f\u0915\u094d\u0937\u0915 \u0907\u0938 \u091c\u0921\u093c\u0924\u093e \u0915\u094b \u0924\u094b\u0921\u093c\u0915\u0930 \u2018x\u2019 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0928\u093e \u092c\u0928\u094d\u0926 \u0915\u0930 \u0926\u0947\u0902\u0917\u0947 \u0914\u0930 \u0905\u092a\u0928\u0947 \u0936\u093f\u0915\u094d\u0937\u093e\u0936\u093e\u0938\u094d\u0924\u094d\u0930 \u0915\u094b \u0905\u0927\u093f\u0915 \u0938\u093e\u0930\u094d\u0925\u0915 \u092c\u0928\u093e\u090f\u0901\u0917\u0947\u0964<\/p>\n\n<p class=\"wp-block-paragraph\">\u0910\u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0938\u0947 \u092c\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u094d\u092f \u0915\u094d\u092f\u093e \u0924\u0930\u0940\u0958\u0947 \u0939\u0948\u0902? \u0938\u094c\u092d\u093e\u0917\u094d\u092f \u0938\u0947, \u090f\u0915 \u0924\u0930\u0940\u0958\u093e \u0939\u0948\u0964 \u0914\u0930 \u092f\u0939 \u0924\u0930\u0940\u0958\u093e \u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u092d\u0940 \u0926\u094b \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0917\u0941\u0923\u093e \u0915\u0947 \u0932\u093f\u090f \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u091a\u093e\u0939\u0947 \u0935\u0947 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0915\u093f\u0924\u0928\u0940 \u092d\u0940 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094d\u092f\u094b\u0902 \u0928 \u0939\u094b\u0902\u0964  <\/p>\n\n<p class=\"wp-block-paragraph\">\u090a\u092a\u0930 \u092c\u0924\u093e\u0908 \u0917\u0908 \u092e\u093e\u0928\u0915 \u0935\u093f\u0927\u093f \u0915\u0947\u0935\u0932 \u090f\u0915 \u0939\u0940 \u092c\u093e\u0930 \u0935\u093f\u0924\u0930\u0923 \u0917\u0941\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0940 \u0939\u0948 \u0905\u0930\u094d\u0925\u093e\u0924, <span class=\"math mobile-view\">\\(84 \u00d7 67 = 84 \u00d7 (7 + 60) = 84 \u00d7 7 + 84 \u00d7 60\\)<\/span><br\/>\u091c\u093f\u0938\u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0941\u092a \u0926\u094b \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \\(588\\) \u0914\u0930 \\(5040\\) \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u0905\u0928\u094d\u0924 \u092e\u0947\u0902 \u091c\u094b\u095c \u0926\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n<p class=\"wp-block-paragraph\">\u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u0939\u092e \u0935\u093f\u0924\u0930\u0923 \u0917\u0941\u0923 \u0915\u093e \u0926\u094b \u092c\u093e\u0930 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u092f\u093e\u0928\u0940 \u0926\u094b\u0928\u094b\u0902 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f, \u0914\u0930 \u091a\u093e\u0930 \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<br\/><span class=\"math web-view\">\\(84 \\times 67 = (80 + 4) \\times (60 + 7) = (80 \\times 60) + (4 \\times 60) + (80 \\times 7) + (4 \\times 7)\\)<\/span><\/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\">\n<figure class=\"wp-block-table\"><table><thead><tr><th>x<\/th><th>60<\/th><th>7<\/th><\/tr><\/thead><tbody><tr><td>80<\/td><td>4800<\/td><td>560<\/td><\/tr><tr><td>4<\/td><td>240<\/td><td>28<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-3<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"mb-0 wp-block-paragraph\">\u0907\u0938\u0947 \u0926\u094d\u0935\u093f-\u0906\u092f\u093e\u092e\u0940 \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u0905\u091a\u094d\u091b\u0947-\u0938\u0947 \u0938\u093e\u0930\u0923\u0940\u092c\u0926\u094d\u0927 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-3)\u0964 \u0914\u0930 \u092b\u093f\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \u0915\u094b \u091c\u094b\u095c\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u092f\u0939 \u0924\u0930\u0940\u0958\u093e \u092a\u0939\u0932\u0947 \u0935\u093e\u0932\u0940 \u0935\u093f\u0927\u093f \u0938\u0947 \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u092d\u093f\u0928\u094d\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u092f\u0947 \u0915\u0949\u0932\u092e-\u0935\u093e\u0930 \u092f\u094b\u0917 \u0935\u0939\u0940 \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \u0939\u0948\u0902 \u091c\u094b \u0939\u092e\u0947\u0902 \u092a\u0939\u0932\u0947 \u092e\u093f\u0932\u0947 \u0925\u0947\u0964   <\/p>\n<\/div>\n<\/div>\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-table\"><table><thead><tr><th class=\"has-text-align-right\" data-align=\"right\">x<\/th><th class=\"has-text-align-right\" data-align=\"right\">800<\/th><th class=\"has-text-align-right\" data-align=\"right\">20<\/th><th class=\"has-text-align-right\" data-align=\"right\">5<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-right\" data-align=\"right\">300<\/td><td class=\"has-text-align-right\" data-align=\"right\">240000<\/td><td class=\"has-text-align-right\" data-align=\"right\">6000<\/td><td class=\"has-text-align-right\" data-align=\"right\">1500<\/td><\/tr><tr><td class=\"has-text-align-right\" data-align=\"right\">70<\/td><td class=\"has-text-align-right\" data-align=\"right\">56000<\/td><td class=\"has-text-align-right\" data-align=\"right\">1400<\/td><td class=\"has-text-align-right\" data-align=\"right\">350<\/td><\/tr><tr><td class=\"has-text-align-right\" data-align=\"right\">9<\/td><td class=\"has-text-align-right\" data-align=\"right\">7200<\/td><td class=\"has-text-align-right\" data-align=\"right\">180<\/td><td class=\"has-text-align-right\" data-align=\"right\">45<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-4<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"mb-0 wp-block-paragraph\">\u0924\u0940\u0928-\u0924\u0940\u0928 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902, \u092e\u0938\u0932\u0928 \\(379 \u00d7 825\\), \u0915\u0947 \u0917\u0941\u0923\u0928\u092b\u0932 \u0915\u0947 \u0932\u093f\u090f, \u0924\u093e\u0932\u093f\u0915\u093e \u091a\u093f\u0924\u094d\u0930-4 \u0915\u0940 \u0924\u0930\u0939 \u0939\u094b\u0917\u0940\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u091c\u092c \u0914\u0930 \u092d\u0940 \u0905\u0927\u093f\u0915 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0917\u0941\u0923\u093e \u0915\u0940 \u0924\u0930\u095e \u092c\u0922\u093c\u0947\u0902\u0917\u0947, \u0907\u0924\u0928\u0947 \u0938\u093e\u0930\u0947 \u0936\u0942\u0928\u094d\u092f \u0932\u093f\u0916\u0928\u093e \u092c\u094b\u091d\u093f\u0932 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u0907\u0938\u0915\u093e \u092d\u0940 \u090f\u0915 \u0939\u0932 \u0939\u0948\u0964<\/p>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0939\u092e \u090f\u0915 \u0932\u0918\u0941 \u091c\u093e\u0932\u0940 \u092c\u0928\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u0948\u0938\u093e \u0915\u093f \\(84 \u00d7 67\\) \u0915\u0947 \u0932\u093f\u090f \u091a\u093f\u0924\u094d\u0930-5 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \u0915\u0947 \u0936\u0942\u0928\u094d\u092f\u094b\u0902 (\u091c\u0948\u0938\u0947 \u0915\u093f \u091a\u093f\u0924\u094d\u0930-3 \u0915\u0940 \u0926\u0940\u0930\u094d\u0918 \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948) \u0915\u094b \u0927\u094d\u092f\u093e\u0928 \u0930\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0916\u093e\u0928\u0947 \u0915\u094b \u091a\u093f\u0924\u094d\u0930-6 \u0915\u0940 \u0924\u0930\u0939 \u0935\u093f\u0915\u0930\u094d\u0923 \u0938\u0947 \u092c\u093e\u0901\u091f\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u092e\u093f\u0932\u0924\u0940 \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\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/multiplication-fig5-hi.jpg\" alt=\"multiplication-fig5\" class=\"wp-image-16284\" style=\"object-fit:cover\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-5<\/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 decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/multiplication-fig6-hi.jpg\" alt=\"multiplication-fig6\" class=\"wp-image-16288\" style=\"object-fit:cover\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-6<\/figcaption><\/figure>\n<\/div>\n<\/div>\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<p class=\"mb-0 wp-block-paragraph\">\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0915\u0930\u094d\u0923 \u0915\u0947 \u0905\u0902\u0915 (\u0928\u093f\u091a\u0932\u0947 \u092c\u093e\u090f\u0901 \u0938\u0947 \u090a\u092a\u0930\u0940 \u0926\u093e\u090f\u0901 \u0924\u0915) \u0915\u093f\u0938 \u0924\u0930\u0939 \u0906\u0902\u0936\u093f\u0915 \u0917\u0941\u0923\u0928\u092b\u0932 \u0915\u0947 \u092f\u094b\u0917 (\u0926\u093e\u090f\u0901 \u0938\u0947 \u092c\u093e\u090f\u0901) \u0915\u0947 \u0905\u0928\u0941\u0930\u0942\u092a \u0939\u0948\u0902, \u091c\u0948\u0938\u093e \u0915\u093f \u091a\u093f\u0924\u094d\u0930-7 \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 \u0939\u092e \u0926\u0940\u0930\u094d\u0918 \u091c\u093e\u0932\u0940 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0924\u0940\u0930 \u0915\u093e\u0930\u094d\u0921 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930 \u0914\u0930 \u0932\u0918\u0941 \u091c\u093e\u0932\u0940 \u092e\u0947\u0902 \u0907\u0938\u0915\u0947 \u0930\u0902\u0917\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u0930\u0942\u092a \u0930\u0902\u0917\u094b\u0902 \u0938\u0947 \u0905\u0902\u0915 \u0932\u093f\u0916\u0915\u0930 \u0938\u092e\u091d\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 (\u091a\u093f\u0924\u094d\u0930-8)\u0964 <\/p>\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=\"230\" height=\"330\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Addition.png\" alt=\"Addition\" class=\"wp-image-16297\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Addition.png 230w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Addition-141x202.png 141w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-7<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0907\u0938 \u0924\u0930\u0939 \u0939\u092e \u0935\u093f\u0915\u0930\u094d\u0923\u094b\u0902 \u0938\u0947 \u092d\u0940 \u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 (\u091a\u093f\u0924\u094d\u0930-9)\u0964 <br\/>\u092f\u0926\u093f \u0939\u092e \u0907\u0938 \u0935\u093f\u0927\u093f \u0915\u094b \u0914\u0930 \u0938\u091f\u0940\u0915 \u092f\u093e \u0936\u0941\u0926\u094d\u0927 \u0915\u0930\u0947\u0902 \u0924\u094b \u092f\u0939 \u0915\u0941\u091b \u0907\u0938 \u0924\u0930\u0939 \u0939\u094b\u0917\u0940, <\/p>\n\n<ul class=\"wp-block-list\">\n<li>\u091c\u093f\u0928 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u093e \u0939\u0948 \u0909\u0928\u0915\u0940 \u0926\u094d\u0935\u093f-\u0906\u092f\u093e\u092e\u0940 \u091c\u093e\u0932\u0940 \u092c\u0928\u093e\u090f\u0901<\/li>\n\n\n\n<li> \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0916\u093e\u0928\u0947 \u092e\u0947\u0902 \u0935\u093f\u0915\u0930\u094d\u0923 \u092c\u0928\u093e \u0932\u0947\u0902 <\/li>\n\n\n\n<li>\u0905\u0902\u0915-\u0926\u0930-\u0905\u0902\u0915 \u0915\u094b \u0917\u0941\u0923\u093e \u0915\u0930\u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0916\u093e\u0928\u0947 \u0915\u094b \u092d\u0930\u0947\u0902 <\/li>\n\n\n\n<li>\u0928\u093f\u091a\u0932\u0947 \u0926\u093e\u090f\u0901 \u0916\u093e\u0928\u0947 \u0938\u0947 \u0936\u0941\u0930\u0942 \u0915\u0930\u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0915\u0930\u094d\u0923 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0905\u0902\u0915\u094b\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u091c\u094b\u095c\u0947\u0902<\/li>\n<\/ul>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/multiplication-8.png\" alt=\"multiplication-fig8\" class=\"wp-image-13792\" style=\"object-fit:cover\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-8<\/figcaption><\/figure>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"601\" height=\"332\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/06\/multiplication-fig-9.jpg\" alt=\"multiplication-fig-9\" class=\"wp-image-12181\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-9<\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u091a\u0932\u093f\u090f \u0905\u092c, 379 x 825 \u0915\u094b \u0907\u0938\u0940 \u0924\u093e\u0932\u0940 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/multiplication-fig-10-hi_11zon.jpg\" alt=\"multiplication-fig-10\" class=\"wp-image-12184\" style=\"object-fit:cover\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-10<\/figcaption><\/figure>\n<\/div>\n<p class=\"wp-block-paragraph\">\u0907\u0915\u093e\u0908, \u0926\u0939\u093e\u0908, \u0938\u0948\u0915\u0921\u093c\u093e, \u0939\u091c\u093c\u093e\u0930\u0964 \u092f\u093e \u092c\u0938 \u0907\u0915\u093e\u0908 \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \u091c\u094b\u0921\u093c\u0928\u093e \u0936\u0941\u0930\u0942 \u0915\u0930 \u0926\u0947\u0902\u0964&#13;\n\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u091c\u092c \u0939\u092e \u0907\u0938 \u0935\u093f\u0927\u093f \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u092a\u0939\u0932\u0947 \u0915\u0947\u0935\u0932 \u0905\u0902\u0915-\u0926\u0930-\u0905\u0902\u0915 \u0917\u0941\u0923\u093e \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u094b\u0908 \u091c\u094b\u0921\u093c \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0914\u0930 \u0907\u0938\u0932\u093f\u090f \u0917\u0941\u0923\u093e \u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u0915\u094b\u0908 \u0939\u093e\u0938\u093f\u0932 \u092f\u093e \u092a\u0941\u0928\u0930\u094d\u0938\u092e\u0942\u0939\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0914\u0930 \u090f\u0915 \u092c\u093e\u0930 \u091c\u092c \u0938\u093e\u0930\u093e \u0917\u0941\u0923\u093e \u092a\u0942\u0930\u093e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u092c \u0939\u092e \u091c\u094b\u095c\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u0940\u0932\u093f\u090f \u092f\u0939 \u092a\u093f\u091b\u0932\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0924\u0930\u0939 \u0932\u093f\u0916\u093f\u0924 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0939\u0940 \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u092c\u093e\u0930-\u092c\u093e\u0930 \u0917\u0941\u0923\u093e \u092b\u093f\u0930 \u091c\u094b\u095c, \u092b\u093f\u0930 \u0917\u0941\u0923\u093e, \u092b\u093f\u0930 \u091c\u094b\u0921\u093c \u092a\u0930 \u0906\u090f-\u091c\u093e\u090f \u092c\u095a\u0948\u0930\u0964 \u0914\u0930 0 \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 (\u0938\u094d\u0925\u093e\u0928 \u092d\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f) \u0915\u094b\u0908 \u2018\u00d7\u2019 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e\u0964    <\/p>\n\n<p class=\"wp-block-paragraph\">\u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u0936\u0948\u0915\u094d\u0937\u093f\u0915 \u0926\u0943\u0937\u094d\u091f\u093f \u0938\u0947 \u0926\u0947\u0916\u0947\u0902 \u0924\u094b \u0936\u0941\u0930\u0941\u0906\u0924 \u092c\u0921\u093c\u0940 \u091c\u093e\u0932\u0940 \u0938\u0947 \u0915\u0930\u0928\u0940 \u091a\u093e\u0939\u093f\u090f \u0914\u0930 \u0909\u0938\u0915\u0947 \u092c\u093e\u0926 \u0924\u0940\u0930 \u0915\u093e\u0930\u094d\u0921 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u091b\u094b\u091f\u0940 \u091c\u093e\u0932\u0940 \u092a\u0930 \u0906\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964 \u0907\u0938 \u092a\u0924\u094d\u0930\u093f\u0915\u093e \u0915\u0947 \u092e\u093e\u0930\u094d\u091a 2024 \u0915\u0947 \u0905\u0902\u0915 \u092e\u0947\u0902 \u0939\u092e\u0928\u0947 \u0907\u0938 \u092c\u093e\u0924 \u0915\u0940 \u0938\u092e\u0940\u0915\u094d\u0937\u093e \u0915\u0940 \u0925\u0940 \u0915\u093f \u0915\u0941\u091b 2D \u092c\u0947\u0938-10 \u092c\u094d\u0932\u0949\u0915 \u092f\u093e\u0928\u0940 \u092b\u094d\u0932\u0948\u091f\u094d\u0938-\u0932\u0949\u0928\u094d\u0917\u094d\u0938-\u092f\u0942\u0928\u093f\u091f\u094d\u0938 (FLU) \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0938\u0947 \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0917\u0941\u0923\u093e \u0915\u0947 \u0932\u093f\u090f \u0915\u093e\u095e\u0940 \u092e\u0926\u0926\u0917\u093e\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964 \u0932\u0947\u0915\u093f\u0928 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0930\u0947\u0916\u093e\u090f\u0901 \u0916\u0940\u0902\u091a\u0928\u0947 \u0914\u0930 \u0909\u0928\u0915\u094b \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0917\u093f\u0928\u0928\u0947 \u0938\u0947 \u092e\u0926\u0926 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964 \u0926\u0939\u093e\u0907\u092f\u094b\u0902 \u0914\u0930 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902 \u0905\u0928\u094d\u0924\u0930 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u094b \u0924\u092f\u0936\u0941\u0926\u093e \u0930\u0902\u0917 \u0938\u0947 \u0930\u0902\u0917\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u0935\u095a\u0948\u0930\u0939-\u0935\u095a\u0948\u0930\u0939\u0964 \u0926\u094d\u0935\u093f-\u0906\u092f\u093e\u092e\u0940 \u0924\u093e\u0932\u093f\u0915\u093e \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923\u094b\u0902 \u0915\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0940 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0917\u093f\u0928\u0915\u0930 \u092d\u0930\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0907\u0938\u0947 \u0939\u092e \\(379 \u00d7 825\\) \u0938\u0947 \u0938\u092e\u091d\u0924\u0947 \u0939\u0948\u0902 (\u091a\u093f\u0924\u094d\u0930-11)\u0964 (\u0917\u0941\u0923\u0928 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0940 \u0930\u0947\u0916\u093e \u0916\u0940\u0902\u091a\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0958\u0947 \u0915\u094b \u0932\u0947\u091f\u093f\u0938 \u0935\u093f\u0927\u093f (lattice method) \u0915\u0947 \u0928\u093e\u092e \u0938\u0947 \u092d\u0940 \u091c\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964)      <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/multiplication-fig11-hi.jpg\" alt=\"multiplication-fig11\" class=\"wp-image-14302\" style=\"object-fit:cover\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-11<\/figcaption><\/figure>\n<\/div>\n<p class=\"wp-block-paragraph\">\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u091c\u0940\u0935\u0928 \u092e\u0947\u0902 \u0959\u0941\u0926 \u0939\u093e\u0925 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u0915\u0940 \u091c\u093c\u0930\u0942\u0930\u0924 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \u0915\u092e \u0939\u094b \u0917\u0908 \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0936\u094d\u0930\u0947\u092f \u0924\u0915\u0928\u0940\u0915\u0940 \u0915\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u0938\u094d\u0915\u0942\u0932 \u092e\u0947\u0902 \u0914\u0930 \u092c\u094b\u0930\u094d\u0921 \u092a\u0930\u0940\u0915\u094d\u0937\u093e\u0913\u0902 \u092e\u0947\u0902, \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u094b \u092c\u095c\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u093e \u0939\u093e\u0925 \u0938\u0947 \u0939\u0940 \u0915\u0930\u0928\u093e \u092a\u095c\u0924\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0914\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092e\u093f\u0924\u093f \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u0935\u093e\u0932\u094b\u0902 \u092e\u0947\u0902 \u0910\u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u092a\u0921\u093c \u0938\u0915\u0924\u0940 \u0939\u0948\u0964 \u0939\u092e\u0947\u0902 \u0909\u092e\u094d\u092e\u0940\u0926 \u0939\u0948 \u0915\u093f \u092f\u0939 \u0935\u093f\u0927\u093f \u092e\u093e\u0928\u0915 \u0935\u093f\u0927\u093f \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0906\u0938\u093e\u0928\u0940 \u0932\u093e\u090f\u0917\u0940\u0964   <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0939\u092e \u091c\u0948\u0938\u0940 \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902? \u092a\u0939\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0939\u092e \u0915\u094b \u0939\u0932 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u092e\u0947\u0902 \u2018\u0939\u093e\u0938\u093f\u0932\u2019 \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u093e \u092a\u0941\u0928\u0930\u094d\u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0905\u0930\u094d\u0925\u093e\u0924 . \u0924\u094b, \u0914\u0930 \u092f\u0939 \u0938\u093f\u0930\u094d\u095e \u091a\u0930\u0923-1 \u0939\u0948 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