{"id":48,"date":"2022-08-06T07:43:34","date_gmt":"2022-08-06T07:43:34","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=48"},"modified":"2024-02-21T05:55:39","modified_gmt":"2024-02-21T05:55:39","slug":"ncert-solutions-class-6-maths-chapter-2-whole-numbers-ex-2-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-2-whole-numbers-ex-2-3\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 2 Whole Numbers Ex 2.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><strong><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 6 Maths<\/span><\/strong><br \/>\n<strong><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 2 (Whole Numbers)<\/span><\/strong><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 2 Whole Numbers <\/strong>Exercise 2.3 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-2\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_2_Whole_Numbers\" style=\"color: #000000;\">Chapter 2: Whole Numbers<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-2-whole-numbers-ex-2-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise\u00a0 -2.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-2-whole-numbers-ex-2-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise\u00a0 -2.2<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 2.3<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Which of the following will not represent zero:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 1 + 0<br \/>\n<\/strong><strong>(b) 0 \u00d7 0<br \/>\n<\/strong><strong>(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\frac{0}{2}}\" \/><br \/>\n<\/strong><strong>(d) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\frac{10%20-%2010}{2}}\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 1 + 0 = 1<br \/>\n<\/strong>Hence, it does not represent zero<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 0 \u00d7 0 = 0<br \/>\n<\/strong>Hence, it represents zero<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\frac{0}{2}}\" \/><br \/>\n<\/strong>Hence, it represents zero<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> <strong><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\frac{10%20-%2010}{2}}\" \/><\/strong><br \/>\nHence, it represents zero<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>If product of two whole numbers is zero, definitely one of them is zero<br \/>\nExample: 0 \u00d7 1 = 0 and 2 \u00d7 0 = 0<br \/>\nIf product of two whole numbers is zero, both of them may be zero<br \/>\nExample: 0 \u00d7 0 = 0<br \/>\nYes, if the product of two whole numbers is zero, then both of them will be zero<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. If the product of two whole numbers is 1, can we say that one or both of them will be 1? Justify through examples.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>If the product of two whole numbers is 1, both the numbers should be equal to 1<br \/>\nExample: 1 \u00d7 1 = 1<br \/>\nBut 1 \u00d7 2 = 2<br \/>\nHence, its clear that the product of two whole numbers will be 1, only in situation when both numbers to be multiplied are 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Find using distributive property:<br \/>\n<\/strong><strong>(a) 728 \u00d7 101<br \/>\n<\/strong><strong>(b) 5437 \u00d7 1001<br \/>\n<\/strong><strong>(c) 824 \u00d7 25<br \/>\n<\/strong><strong>(d) 4275 \u00d7 125<br \/>\n<\/strong><strong>(e) 504 \u00d7 35<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>(a) Given 728 \u00d7 101<br \/>\n<strong>=\u00a0<\/strong>728 \u00d7 (100 + 1)<br \/>\n= 728 \u00d7 100 + 728 \u00d7 1<br \/>\n= 72800 + 728<br \/>\n= 73528<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Given 5437 \u00d7 1001<br \/>\n= 5437 \u00d7 (1000 + 1)<br \/>\n= 5437 \u00d7 1000 + 5437 \u00d7 1<br \/>\n= 5437000 + 5437<br \/>\n= 5442437<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Given 824 \u00d7 25<br \/>\n= (800 + 24) \u00d7 25<br \/>\n= (800 + 25 \u2013 1) \u00d7 25<br \/>\n= 800 \u00d7 25 + 25 \u00d7 25 \u2013 1 \u00d7 25<br \/>\n= 20000 + 625 \u2013 25<br \/>\n= 20000 + 600<br \/>\n= 20600<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) Given 4275 \u00d7 125<br \/>\n= (4000 + 200 + 100 \u2013 25) \u00d7 125<br \/>\n= (4000 \u00d7 125 + 200 \u00d7 125 + 100 \u00d7 125 \u2013 25 \u00d7 125)<br \/>\n= 500000 + 25000 + 12500 \u2013 3125<br \/>\n= 534375<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) Given 504 \u00d7 35<br \/>\n= (500 + 4) \u00d7 35<br \/>\n= 500 \u00d7 35 + 4 \u00d7 35<br \/>\n= 17500 + 140<br \/>\n= 17640<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Study the pattern:<br \/>\n<\/strong><strong>1 \u00d7 8 + 1 = 9<br \/>\n12 \u00d7 8 + 2 = 98<br \/>\n123 \u00d7 8 + 3 = 987<br \/>\n1234 \u00d7 8 + 4 = 9876<br \/>\n<\/strong><strong>12345 \u00d7 8 + 5 = 98765<br \/>\n<\/strong><strong>Write the next two steps. Can you say how the pattern works?<br \/>\n<\/strong><strong>(Hint: 12345 = 11111 + 1111 + 111 + 11 + 1)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong><strong>123456 \u00d7 8 + 6 = 987654<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Given 123456 = (111111 + 11111 + 1111 + 111 + 11 + 1)<br \/>\n123456 \u00d7 8 = (111111 + 11111 + 1111 + 111 + 11 + 1) \u00d7 8<br \/>\n= 111111 \u00d7 8 + 11111 \u00d7 8 + 1111 \u00d7 8 + 111 \u00d7 8 + 11 \u00d7 8 + 1 \u00d7 8<br \/>\n= 888888 + 88888 + 8888 + 888 + 88 + 8<br \/>\n= 987648<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">123456 \u00d7 8 + 6 = 987648 + 6<br \/>\n= 987654<br \/>\nYes, here the pattern works<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1234567 \u00d7 8 + 7 = 9876543<br \/>\n<\/strong>Given 1234567 = (1111111 + 111111 + 11111 + 1111 + 111 + 11 + 1)<br \/>\n1234567 \u00d7 8 = (1111111 + 111111 + 11111 + 1111 + 111 + 11 + 1) \u00d7 8<br \/>\n= 1111111 \u00d7 8 + 111111 \u00d7 8 + 11111 \u00d7 8 + 1111 \u00d7 8 + 111 \u00d7 8 + 11 \u00d7 8 + 1 \u00d7 8<br \/>\n= 8888888 + 888888 + 88888 + 8888 + 888 + 88 + 8<br \/>\n= 9876536<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1234567 \u00d7 8 + 7 = 9876536 + 7<br \/>\n= 9876543<br \/>\nYes, here the pattern works<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 2 (Whole Numbers) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 2 Whole Numbers Exercise 2.3 has been provided here to help the students in solving the questions from this exercise. Chapter 2: Whole Numbers NCERT Solution Class 6 Maths Exercise\u00a0 -2.1 NCERT Solution [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[6,4,5],"class_list":["post-48","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-ncert-solutions-class-6-maths-chapter-1-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 2 Whole Numbers Ex 2.3 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 2 Whole Numbers Exercise 2.3 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-2-whole-numbers-ex-2-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 2 Whole Numbers Ex 2.3\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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