{"id":71013,"date":"2021-10-23T15:45:00","date_gmt":"2021-10-23T10:15:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71013"},"modified":"2023-06-09T10:27:19","modified_gmt":"2023-06-09T04:57:19","slug":"rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/","title":{"rendered":"RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 (Updated For 2023)"},"content":{"rendered":"\n<p><strong>RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5:&nbsp;<\/strong>You can never go wrong when studying the <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-7-maths-solutions\/\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 7 Maths<\/a> for your class tests and assignments. <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 has accurate and well-explained solutions written by subject matter experts. The solutions are written as per the current CBSE Syllabus.<\/span><\/p>\n<p>Download the Free PDF of <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-rational-numbers\/\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 7 Maths Chapter 4<\/a> Ex 4.5 using the download link given in the blog. To know more, read the whole blog.<\/span><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d168e85c0cd\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d168e85c0cd\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#download-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf\" title=\"Download RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF\">Download RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-%e2%80%93-overview\" title=\"RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 &#8211; Overview\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 &#8211; Overview<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#multiplication-of-rational-numbers\" title=\"Multiplication Of Rational Numbers\">Multiplication Of Rational Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#rules-for-the-multiplication-of-rational-numbers\" title=\"Rules For The Multiplication Of Rational Numbers\">Rules For The Multiplication Of Rational Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#multiplication-between-two-rational-numbers-%e2%80%93-augmentation-properties\" title=\"Multiplication between two rational numbers \u2013 Augmentation Properties\">Multiplication between two rational numbers \u2013 Augmentation Properties<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#faqs-on-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45\" title=\"FAQs on RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5\">FAQs on RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#how-to-multiply-rational-numbers-with-similar-signs\" title=\"How to multiply rational numbers with similar signs?\">How to multiply rational numbers with similar signs?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#how-to-multiply-rational-numbers-with-different-signs\" title=\"How to multiply rational numbers with different signs?\">How to multiply rational numbers with different signs?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf\" title=\"From where can I find the download link for the RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF?\">From where can I find the download link for the RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf\" title=\"How much does it cost to download the\u00a0RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF?\">How much does it cost to download the\u00a0RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/#can-i-access-the-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf-offline\" title=\"Can I access the\u00a0RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF Offline?\">Can I access the\u00a0RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF Offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf\"><\/span>Download <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Rational-Numbers-Ex-4-E.pdf\" target=\"_blank\" rel=\"noopener\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/10\/Rational-Numbers-Ex-4-E.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-%e2%80%93-overview\"><\/span><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 &#8211; Overview<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"multiplication-of-rational-numbers\"><\/span>Multiplication Of Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>It can be defined as performing the product operation between the two rational numbers. Also, the product taken between any two rational numbers is equivalent to the product performed between the numerator values divided by the product performed between the denominator values.<\/p>\n<p>Product of two fraction values = The Product of their respective numerator values \/The Product of their respective denominator values.<\/p>\n<p>Eg: Take any two rational numbers, let us take 2\/5 and 4\/7, in the case the product of the rational numbers that we have taken will be as follows:<\/p>\n<p>2\/5 * 4\/7 = (2*4) \/ (5*7) = 8 \/ 35<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rules-for-the-multiplication-of-rational-numbers\"><\/span>Rules For The Multiplication Of Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>For Similar Sign<\/li>\n<\/ul>\n<p>The product of two +ve, positive numbers or the two -ve, negative numbers will always yield the resultant rational number as positive.<\/p>\n<ul>\n<li>For Different Signs<\/li>\n<\/ul>\n<p>The product of one +ve, positive number, and the one -ve, negative number, or vice versa will always yield the resultant rational number as negative.&nbsp;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"multiplication-between-two-rational-numbers-%e2%80%93-augmentation-properties\"><\/span><strong>Multiplication between two rational numbers \u2013 Augmentation Properties<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>There are Seven diverse significant augmentation properties that you should know for normal numbers:<\/p>\n<ul>\n<li>The Multiplication Property of \u2013 1: For any given real number<\/li>\n<\/ul>\n<p>a, (\u22121) \u00d7 a = \u2212a<\/p>\n<ul>\n<li>When the Rational number multiplied by \u2013 1 is the inverse of the real number.<\/li>\n<li>The Multiplicative Identity Property: For any given number:<\/li>\n<\/ul>\n<p>a, (1) \u00d7 a = a<\/p>\n<ul>\n<li>Take any number, multiply it by 1, it will always yield the original number taken earlier.<\/li>\n<li>The Zero Property of Multiplication: Take any real number, this will apply to it:&nbsp;<\/li>\n<\/ul>\n<p>a, (0) \u00d7 a = 0<\/p>\n<p>Always remember that any number multiplied with zero, 0 will always yield the zero, 0 as a result.<\/p>\n<ul>\n<li>The Associative Property of Multiplication: let us take any Real numbers say a, b, and c. Then here, the following rule will be applicable:<\/li>\n<\/ul>\n<p>(a * b) * c = a * (b * c)<\/p>\n<p>It is much similar to the Associative Property of Addition.<\/p>\n<ul>\n<li>The Commutative Property of Multiplication: Take any real numbers<\/li>\n<\/ul>\n<p>Let us say a and b<\/p>\n<p>Here, the below rule will apply;<\/p>\n<p>a (b) = b (a)<\/p>\n<p>It is much similar to the Commutative Property of Addition.<\/p>\n<p>This is the complete blog on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5. To know more about the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 7 Maths exam, ask in the comments.&nbsp;<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45\"><\/span>FAQs on <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4737,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;Arial&quot;}\">RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1635137968429\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-to-multiply-rational-numbers-with-similar-signs\"><\/span>How to multiply rational numbers with similar signs?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The product of two +ve, positive numbers or the two -ve, negative numbers will always yield the resultant rational number as positive.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1635137984892\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-to-multiply-rational-numbers-with-different-signs\"><\/span>How to multiply rational numbers with different signs?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The product of one +ve, positive number, and the one -ve, negative number, or vice versa will always yield the resultant rational number as negative.\u00a0<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1635138029120\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-find-the-download-link-for-the-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf\"><\/span>From where can I find the download link for the RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1635138047588\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf\"><\/span>How much does it cost to download the\u00a0RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download it for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1635138087291\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rs-aggarwal-solutions-class-7-maths-chapter-4-ex-45-pdf-offline\"><\/span>Can I access the\u00a0RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 PDF Offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5:&nbsp;You can never go wrong when studying the RS Aggarwal Solutions Class 7 Maths for your class tests and assignments. RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 has accurate and well-explained solutions written by subject matter experts. The solutions are written as per &#8230; <a title=\"RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 (Updated For 2023)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-7-maths-chapter-4-exercise-4-5\/\" aria-label=\"More on RS Aggarwal Solutions Class 7 Maths Chapter 4 Ex 4.5 (Updated For 2023)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":71823,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73412,73410],"tags":[73320,77308,77500],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71013"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=71013"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71013\/revisions"}],"predecessor-version":[{"id":395156,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71013\/revisions\/395156"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71823"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71013"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71013"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71013"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}