{"id":3424,"date":"2022-12-16T07:35:32","date_gmt":"2022-12-16T07:35:32","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3424"},"modified":"2023-01-31T06:49:42","modified_gmt":"2023-01-31T06:49:42","slug":"ncert-solutions-class-8-maths-chapter-16-playing-with-numbers-ex-16-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-16-playing-with-numbers-ex-16-1\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 16 Playing with Numbers Ex 16.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 16 (Playing with Numbers)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 16 Playing with Numbers <\/strong>Exercise 16.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 16: Playing with Numbers<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-16-playing-with-numbers-ex-16-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 16.2<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 16.1<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Find the values of the letters in each of the following and give reasons for the steps involved.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3499\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-1.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"133\" height=\"134\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>A = 7 and we get, 7 + 5 = 12<br \/>\nIn which one\u2019s place is 2.<br \/>\nTherefore, A = 7<br \/>\nAnd putting 2 and carry over 1, we get<br \/>\n1 + 3 + 2 = 6. <\/span><br \/>\n<span style=\"color: #000000;\">Thus, B = 6<\/span><br \/>\n<span style=\"color: #000000;\">Hence <strong>A = 7 <\/strong>and <strong>B = 6<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3497\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-2.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"133\" height=\"116\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>If A = 5 and we get,<br \/>\n8 + 5 = 13 in which ones place is 3.<br \/>\nTherefore, A = 5 and carry over 1, we get<br \/>\n1 + 4 + 9 = 14<br \/>\nThus, B = 4 and C = 1<br \/>\nHence,\u00a0<strong>A = 5, B = 4 <\/strong>and <strong>C = 1<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3<\/strong>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3498\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-3.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"112\" height=\"122\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>On putting A = 1, 2, 3, 4, 5, 6, 7 and so on and we get,<br \/>\nA x A = 6 \u00d7 6 = 36 in which ones place is 6.<br \/>\nTherefore, A \u00d7 1 = 6 \u00d7 1 + 3 (Carried on) = 9<\/span><br \/>\n<span style=\"color: #000000;\">Therefore, <strong>A = 6<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3495\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-4.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"124\" height=\"127\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Here, we observe that B = 5 so that 7 + 5 = 12<br \/>\nPutting 2 at ones place and carry over 1 and A = 2, we get<br \/>\n2 + 3 + 1 = 6<br \/>\nHence\u00a0<strong>A = 2 <\/strong>and <strong>B =5<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3496\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-5.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"123\" height=\"124\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Here on putting B = 0, we get 0 \u00d7 3 = 0.<br \/>\nAnd A = 5, then 5 \u00d7 3 = 15<br \/>\nA = 5 and C = 1<br \/>\nHence\u00a0<strong>A = 5, B = 0 <\/strong>and <strong>C = 1<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3494\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-6.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"122\" height=\"124\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>On putting B = 0, we get 0 \u00d7 5 = 0 and A = 5,<br \/>\nthen 5 \u00d7 5 = 25<br \/>\nA = 5, C = 2<br \/>\nHence\u00a0<strong>A = 5, B = 0 <\/strong>and <strong>C =2<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3493\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-7.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"122\" height=\"121\" \/><br \/>\n<\/strong><strong>Solution &#8211; <\/strong>Here product of B and 6 must be same as ones place digit as B.<br \/>\n6 \u00d7 1 = 6,<br \/>\n6 \u00d7 2 = 12,<br \/>\n6 \u00d7 3 = 18,<br \/>\n6 \u00d7 4 = 24<br \/>\nOn putting B = 4, we get the ones digit 4 and remaining two B\u2019s value should be 44.<br \/>\nTherefore, for 6 \u00d7 7 = 42 + 2 = 44<br \/>\nHence\u00a0<strong>A = 7 <\/strong>and <strong>B = 4<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3492\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-8.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"118\" height=\"120\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>On putting B = 9, we get 9 + 1 = 10<br \/>\nPutting 0 at ones place and carry over 1, we get for A = 7<br \/>\n7 + 1 + 1 = 9<br \/>\nHence,\u00a0<strong>A = 7 <\/strong>and <strong>B = 9<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>9.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3490\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-9.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"159\" height=\"122\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>On putting B = 7, we get 7 + 1 = 8<br \/>\nNow A = 4, then 4 + 7 = 11<br \/>\nPutting 1 at tens place and carry over 1,<br \/>\nwe get 2 + 4 + 1 = 7<br \/>\nHence,\u00a0<strong>A = 4 <\/strong>and <strong>B = 7<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>10.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3491\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-16.1-Q-10.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"152\" height=\"119\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Putting A = 8 and B = 1,<br \/>\nwe get 8 + 1 = 9<br \/>\nNow, again we add 2 + 8 = 10<br \/>\nTens place digit is \u20180\u2019 and carry over 1.<br \/>\nNow 1 + 6 + 1 = 8 = A<br \/>\nHence\u00a0<strong>A = 8 <\/strong>and <strong>B =1<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; 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14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a 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Mathematics Chapter &#8211; 16 Playing with Numbers Exercise 16.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 16: Playing with Numbers NCERT Solution Class 8 Maths Ex [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[474,475,445,5],"class_list":["post-3424","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-16-playing-with-numbers-in-english","tag-ncert-solutions-class-8-maths-chapter-16-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 16 Playing 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