{"id":10769,"date":"2018-02-20T11:34:55","date_gmt":"2018-02-20T06:04:55","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=10769"},"modified":"2019-01-30T15:43:59","modified_gmt":"2019-01-30T10:13:59","slug":"direct-inverse-proportions-class-8-notes-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/direct-inverse-proportions-class-8-notes-mathematics\/","title":{"rendered":"Direct and Inverse Proportions class 8 Notes Mathematics"},"content":{"rendered":"<p><strong>Direct and Inverse Proportions class 8 Notes Mathematics<\/strong> in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Direct and Inverse Proportions class 8 Notes Mathematics latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Class 8 Mathematics notes on chapter 13 Direct and Inverse Proportions Mathematics are also available for download in CBSE Guide website.<\/p>\n<h2><strong>Class 8 Mathematics notes Chapter 13 Direct and Inverse Proportions<\/strong><\/h2>\n<p>Download CBSE class 8th revision notes for chapter 13 Direct and Inverse Proportions in PDF format for free. Download revision notes for Direct and Inverse Proportions class 8 Notes and score high in exams. These are the Direct and Inverse Proportions class 8 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter 13 in minutes. Revision notes in exam days is one of the best tips recommended by teachers during exam days.<\/p>\n<p style=\"text-align: center;\"><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics\/1449\/cbse-revision-notes\/7\/\">Download Revision Notes as PDF<\/a><\/strong><\/p>\n<h2><strong>CBSE Class 8 Revision Notes Maths Direct and Inverse Proportions<\/strong><\/h2>\n<ul>\n<li><strong>Variations: <\/strong>If the values of two quantities depend on each other in such a way that a change in one causes corresponding change in the other, then the two quantities are said to be in variation.<\/li>\n<li><strong>Direct Variation or Direct Proportion: <\/strong><br \/>\nTwo quantities x and y are said to be in <strong>direct proportion<\/strong> if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. That is if <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{x} \\over {y}\" \/><\/span><\/span>=k [k is a positive number, then x and y are said to vary directly. In such a case if y<sub>1<\/sub>, y<sub>2<\/sub>\u00a0are the values of\u00a0 y corresponding to the values x<sub>1<\/sub>, x\u00a0 of x respectively then <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{x_1} \\over {y_1}\" \/><\/span><\/span>\u00a0=\u00a0<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{x_2} \\over {y_2}\" \/><\/span><\/span>.<\/li>\n<li>If the number of articles purchased increases, the total cost also increases.<\/li>\n<li>More than money deposited in a bank more is the interest earned.<\/li>\n<li>Quantities increasing or decreasing together need not always be in direct proportion, same in the case of inverse proportion.<\/li>\n<li>When two quantities x and y are in direct proportion (or very directly), they are written as.<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?x \\propto y\" \/><\/span><\/span> Symbol <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\propto\" \/><\/span><\/span>stands for \u2018is proportion to\u2019.<\/li>\n<li><strong>Inverse Proportion: <\/strong>Two quantities x and y are said to be in\u00a0 <strong>inverse proportion<\/strong> if an increase in x causes a proportional decrease in y <strong>(and vice-versa<\/strong>) in such a manner that the product of their corresponding values remains constant. That is, if xy = k, then x and y are said to vary inversely. In this case, if y<sub>1<\/sub>, y<sub>2<\/sub>\u00a0are the values of y corresponding to the values x<sub>1<\/sub>, x<sub>2\u00a0<\/sub>of x respectively then \u00a0x<sub>1<\/sub>, Y<sub>1 =\u00a0<\/sub>x<sub>2<\/sub>, y<sub>2 or\u00a0<\/sub><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{x_1} \\over {y_1}\" \/><\/span><\/span>\u00a0=\u00a0<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{x_2} \\over {y_2}\" \/><\/span><\/span><\/li>\n<li>When two quantities x and y are in inverse proportion (or vary inversely), they are written as x\u00a0<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?x \\propto {{1} \\over {y}}\" \/><\/span><\/span>. Example: If the number of workers increases, time taken to finish the job decreases. Or If the speed will increase the time required to cover a given distance will decrease.<\/li>\n<\/ul>\n<h2>Direct and Inverse Proportions class 8 Notes Mathematics<\/h2>\n<p>Direct and Inverse Proportions class 8 Notes Mathematics. CBSE quick revision note for class-8 Mathematics, Chemistry, Math\u2019s, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics\/1449\/cbse-revision-notes\/7\/\">Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-08-science\/1466\/cbse-revision-notes\/7\/\">Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-08-social-science\/1485\/cbse-revision-notes\/7\/\">Social Science<\/a><\/li>\n<\/ul>\n<p>To download Direct and Inverse Proportions class 8 Notes Mathematics, sample paper for class 8 Mathematics, Social Science, Science, Mathematics; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n<ul>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/rational-numbers-class-11-notes-physical-education\/\">Rational Numbers class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/linear-equations-in-one-variable-class-8-notes-mathematics\/\">Linear Equations in one Variable class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/understanding-quadrilaterals-class-8-notes-mathematics\/\">Understanding Quadrilaterals class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/practical-geometry-class-8-notes-mathematics\/\">Practical Geometry class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/data-handling-class-8-notes-mathematics\/\">Data Handling class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/squares-square-roots-class-8-notes-mathematics\/\">Squares and Square Roots class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cubes-cube-root-class-8-notes-mathematics\/\">Cubes and Cube Root class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/comparing-quantities-class-8-notes-mathematics\/\">Comparing Quantities class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/algebraic-expressions-identities-class-8-notes-mathematics\/\">Algebraic Expressions and Identities class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/visualising-solid-shapes-class-8-notes-mathematics\/\">Visualising solid shapes class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/mensuration-class-8-notes-mathematics\/\">Mensuration class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/exponents-powers-class-8-notes-mathematics\/\">Exponents and Powers class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/factorisation-class-8-notes-mathematics\/\">Factorisation class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/introduction-graphs-class-8-notes-mathematics\/\">Introduction to Graphs class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/playing-numbers-class-8-notes-mathematics\/\">Playing with Numbers class 8 Notes Mathematics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Direct and Inverse Proportions class 8 Notes Mathematics in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Direct and Inverse Proportions class 8 Notes Mathematics latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Class 8 Mathematics notes on &#8230; <a title=\"Direct and Inverse Proportions class 8 Notes Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/direct-inverse-proportions-class-8-notes-mathematics\/\" aria-label=\"More on Direct and Inverse Proportions class 8 Notes Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":10427,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[293,456],"tags":[457,150,1541,958,461,426,240],"class_list":["post-10769","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-08","category-revision-notes","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-cbse-revision-notes","tag-direct-and-inverse-proportions","tag-mathematics-notes","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - 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