{"id":620908,"date":"2023-03-13T10:25:21","date_gmt":"2023-03-13T10:25:21","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=620908"},"modified":"2024-04-29T08:56:46","modified_gmt":"2024-04-29T08:56:46","slug":"ncert-exemplar-class-7-maths-chapter-1-integers","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/","title":{"rendered":"NCERT Exemplar Class 7 Maths\u00a0Chapter 1: Integers"},"content":{"rendered":"\n<p>NCERT Exemplar Class 7 Maths&nbsp;Chapter 1: Integers. NCERT Exemplar Solutions for Class 7 Maths&nbsp;Chapter 1 Integers prepare students for their Class 7 exams thoroughly. <\/p>\n\n\n\n<p>Maths&nbsp;problems and solutions for the Class 7 pdf are provided here which are similar to the questions being asked in the previous year&#8217;s board. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-exemplar-class-7-maths-nbsp-chapter-1-integers\"><strong>NCERT Exemplar Class 7 Maths&nbsp;Chapter 1: Integers<\/strong><\/h2>\n\n\n\n<p>Class 7: Maths\u00a0Chapter 1 solutions. Complete Class 7 Maths\u00a0Chapter 1 Notes.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Main Concepts and Results<\/h3>\n\n\n\n<p>Representation of integers on the number line and their addition and subtraction.<\/p>\n\n\n\n<p>Properties of integers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Integers are closed under addition, subtraction and multiplication.<\/li>\n\n\n\n<li>Addition and multiplication are commutative for integers, i.e., a + b = b + a and a \u00d7 b = b \u00d7 a for any two integers a and b.<\/li>\n\n\n\n<li>Addition and multiplication are associative for integers, i.e., (a + b) + c = a + (b + c) and (a \u00d7 b) \u00d7 c = a \u00d7 (b \u00d7 c) for any three integers a, b and c.<\/li>\n\n\n\n<li>Zero (0) is an additive identity for integers, i.e., a + 0 = 0 + a = a for any integer a.<\/li>\n\n\n\n<li>1 is multiplicative identity for integers, i.e., a \u00d7 1 = 1 \u00d7 a = a for any integer a.<\/li>\n\n\n\n<li>Integers show distributive property of multiplication over addition, i.e., a \u00d7 (b + c) = a \u00d7 b + a \u00d7 c for any three integers a, b and c.<\/li>\n<\/ul>\n\n\n\n<p>Product of a positive integer and a negative integer is a negative integer, i.e, a \u00d7 (\u2013b) = \u2013 ab, where a and b are positive integers.<\/p>\n\n\n\n<p>Product of two negative integers is a positive integer, i.e., (\u2013a) \u00d7 (\u2013b) = ab, where a and b are positive integers.<\/p>\n\n\n\n<p>Product of even number of negative integers is positive, where as the product of odd number of negative integers is negative, i.e.,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022385976_ff07de69f0_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Solved Examples<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022429541_344ae65ac8_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49021915963_e28b2c2188_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022461986_d3234eb683_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Adding Integers<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>If the signs are the same<\/strong><\/td><td><strong>If the signs are different<\/strong><\/td><\/tr><tr><td>Find the sum of the values of<br>integers without sign, and then<br>use the same sign as the integers<br>have.<\/td><td>Find the difference of the values of<br>integers without sign (subtract<br>lower value integer from greater<br>value integer) and then use the sign<br>of the integer with the greater value.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022682342_22c037759d_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022488766_66602c8ed5_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49021968758_f05e9faf51_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022165388_3d07843444_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Subtracting Integers:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Words<\/strong><\/td><td><strong>Numbers<\/strong><\/td><td><strong>Formula<\/strong><\/td><\/tr><tr><td>To subtract an integer,<br>add its inverse<\/td><td>3 \u2013 7 = 3 + (\u20137)<br>5 \u2013 (\u20138) = 5 + 8<\/td><td>a \u2013 b = a + (\u2013b)<br>a \u2013 (\u2013 b) = a + b<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\"><strong>Subtracting Integers:<\/strong><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022529121_f6dcb39c40_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022738037_afaf9488d1_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022541201_a974d77982_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Multiplying and Dividing Two Integers:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the signs are the same, the sign of the answer is positive.<\/li>\n\n\n\n<li>If the signs are different, the sign of the answer is negative.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022032303_0e97b7de82_o.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Multiple Choice Questions<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/16032871001_9ac1a4fcc8_o.jpg\" alt=\"Class 7 Important Questions for Maths \u2013 Integers\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-fill-in-the-blanks-type-questions\"><strong>Fill in the Blanks Type Questions<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/16032473511_634143314b_o.jpg\" alt=\"Class 7 Important Questions for Maths \u2013 Integers\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-true-false-type-questions\"><strong>True False Type Questions<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/15846981188_0cd1c76437_o.jpg\" alt=\"Class 7 Important Questions for Maths \u2013 Integers\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-other-important-type-questions\"><strong>Other Important Type Questions<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/15414773583_ec567a2ef3_o.jpg\" alt=\"Class 7 Important Questions for Maths \u2013 Integers\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Application<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022924237_c085f5708c_o.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022935022_783b9925f2_o.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022738441_6af6d9ec5e_o.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Answers<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022785636_6217b2f524_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022793151_32ceb491c4_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49023001102_903c4d04ba_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49023011947_34b31269b8_o.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49022821041_f842572a4a_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-problems-solutions\/\" style=\"background-color:#f06d6d\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT Exemplar Solutions<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-Maths-solutions\/\" style=\"background-color:#f06d6d\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT Class 7 Exemplar Solutions<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Exemplar Class 7 Maths&nbsp;Chapter 1: Integers. NCERT Exemplar Solutions for Class 7 Maths&nbsp;Chapter 1 Integers prepare students for their Class 7 exams thoroughly. Maths&nbsp;problems and solutions for the Class 7 pdf are provided here which are similar to the questions being asked in the previous year&#8217;s board. NCERT Exemplar Class 7 Maths&nbsp;Chapter 1: Integers [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":620910,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,907],"tags":[],"boards":[],"class_list":["post-620908","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-7","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Exemplar for Class 7, Maths\u00a0Chapter 1 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"NCERT Exemplar Class 7 Maths\u00a0Chapter 1: Integers | Browse all Class 7 Maths\u00a0Chapters NCERT Exemplar books - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Class 7 Maths\u00a0Chapter 1: Integers\" \/>\n<meta property=\"og:description\" content=\"NCERT Exemplar Class 7 Maths&nbsp;Chapter 1: Integers. NCERT Exemplar Solutions for Class 7 Maths&nbsp;Chapter 1 Integers prepare students for their Class\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/\" \/>\n<meta property=\"og:site_name\" content=\"IndCareer Schools\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/indcareer\" \/>\n<meta property=\"article:published_time\" content=\"2023-03-13T10:25:21+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-04-29T08:56:46+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/indcareer-schools-2-15-6-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1600\" \/>\n\t<meta property=\"og:image:height\" content=\"901\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Pooja\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@indcareer\" \/>\n<meta name=\"twitter:site\" content=\"@indcareer\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Pooja\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/\"},\"author\":{\"name\":\"Pooja\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\"},\"headline\":\"NCERT Exemplar Class 7 Maths\u00a0Chapter 1: Integers\",\"datePublished\":\"2023-03-13T10:25:21+00:00\",\"dateModified\":\"2024-04-29T08:56:46+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/\"},\"wordCount\":413,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/indcareer-schools-2-15-6-scaled.jpg\",\"articleSection\":[\"Book Solutions\",\"Class 7\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-7-maths-chapter-1-integers\/\",\"name\":\"NCERT Exemplar for Class 7, Maths\u00a0Chapter 1 - 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