{"id":620687,"date":"2023-03-13T02:15:11","date_gmt":"2023-03-13T02:15:11","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=620687"},"modified":"2024-04-29T12:08:43","modified_gmt":"2024-04-29T12:08:43","slug":"ncert-exemplar-class-8-maths-chapter-8-exponents-and-powers","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-8-maths-chapter-8-exponents-and-powers\/","title":{"rendered":"NCERT Exemplar Class 8 Maths\u00a0Chapter 8: Exponents and Powers"},"content":{"rendered":"\n<p>NCERT Exemplar Class 8 Maths&nbsp;Chapter 8: Exponents and Powers. NCERT Exemplar Solutions for Class 8 Maths&nbsp;Chapter 8 Exponents and Powers prepare students for their Class 8 exams thoroughly. <\/p>\n\n\n\n<p>Maths&nbsp;problems and solutions for the Class 8 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-8-maths-nbsp-chapter-8-exponents-and-powers\"><strong>NCERT Exemplar Class 8 Maths&nbsp;Chapter 8: Exponents and Powers<\/strong><\/h2>\n\n\n\n<p>Class 8: Maths\u00a0Chapter 8 solutions. Complete Class 8 Maths\u00a0Chapter 8 Notes.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Main Concepts and Results<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Exponential notation is a powerful way to express repeated multiplication of the same number. Specifically, powers of 10 express very large and very small numbers in a manner which is convenient to read, write and compare.<\/li>\n\n\n\n<li>For any non-zero integer a,<\/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\/49028233752_19eafe31d9_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Laws of exponents are<\/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\/49028237802_ef9c2867a5_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Numbers can be expressed in expanded form by using exponents<\/li>\n\n\n\n<li>Very large and very small numbers can be expressed in standard form.<\/li>\n\n\n\n<li>Standard form is also called scientific notation form.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Solved Examples<\/h3>\n\n\n\n<p><strong>In example 1 and 2, there are four options given out of which one is<\/strong><br><strong>correct. Write the correct answer.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028242592_b33367f971_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>In examples 3 to 5, fill in the blanks to make the statements true.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028246087_b77b8119bc_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>In examples 6 and 7, state whether the statements are true (T) or false (F):<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028039876_9226b97495_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\/49028042631_b3bec75591_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\/49028045076_ec0b8d627d_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\/49028047216_0e0ed1757a_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Think and Discuss<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Try to find the value of x in the question by changing \u2013 5 to 2. What difference do you find in the value of x ? What do you infer from your answer?<\/li>\n\n\n\n<li>See if you can find the value of x if the equation is changed to<\/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\/49028260847_5031b07c63_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Getting Red of Negative Exponenets in Factors<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49027543693_3ce51229c5_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-multiple-choice-questions\"><strong>Multiple Choice 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\/15987820161_1cec9cf9fb_o.jpg\" alt=\"Exponents and Powers\/\"\/><\/figure>\n\n\n\n<p><strong>Fill in the Blanks Type Questions<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/15964024316_6e7142ac67_o.jpg\" alt=\"Exponents and Powers\/\"\/><\/figure>\n\n\n\n<p><strong>True False Type Questions<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/15964024256_c475867ba2_o.jpg\" alt=\"Exponents and Powers\/\"\/><\/figure>\n\n\n\n<p><strong>Short Answer Type Questions<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/03\/15802534380_6c2c96e5c6_o.jpg\" alt=\"Exponents and Powers\/\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Activites<\/h3>\n\n\n\n<p><strong>Activity 1&nbsp;<\/strong><\/p>\n\n\n\n<p>To make ballot papers for the upcoming school elections, cut a sheet of paper in half. Stack the two pieces and cut them in half again. Stack the resulting four pieces and cut them in half again. Repeat this process, creating smaller sized ballot papers.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028066946_ef92632e5b_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>Now, answer the following<\/p>\n\n\n\n<p>(a) Can you predict the number of ballot papers after n number of cuts?<\/p>\n\n\n\n<p>(b) Suppose you could make 40 cuts. How many ballot papers would you have?<\/p>\n\n\n\n<p>(c) How many cuts would it take to make enough ballot papers for 512 students at school?<\/p>\n\n\n\n<p>https:\/\/www.adsensecustomsearchads.com\/afs\/ads?psid=5134551505&#038;channel=AutoRsVariant&#038;cx=r-611013c8f047b929f&#038;fexp=42532561%2C21404%2C17300002%2C17301437%2C17301438%2C17301442&#038;client=pub-6709000355577070&#038;r=m&#038;sct=ID%3D501b9d8a8c2c907b%3AT%3D1691671504%3ART%3D1691671504%3AS%3DALNI_MY1Vx0PfFSIz5lrHNRjh0bSteTuPQ&#038;sc_status=6&#038;hl=en&#038;cpp=5&#038;rpbu=http%3A%2F%2Fgoogle.com&#038;rpqp=q&#038;type=3&#038;rs_tt=c&#038;oe=UTF-8&#038;ie=UTF-8&#038;client_gdprApplies=0&#038;format=r5&#038;nocache=5431714392287103&#038;num=0&#038;output=afd_ads&#038;domain_name=schools.aglasem.com&#038;v=3&#038;bsl=10&#038;pac=2&#038;u_his=1&#038;u_tz=330&#038;dt=1714392287105&#038;u_w=1360&#038;u_h=768&#038;biw=1281&#038;bih=620&#038;psw=1281&#038;psh=620&#038;frm=0&#038;uio=-&#038;cont=autors-container-0&#038;drt=0&#038;jsid=csa&#038;nfp=1&#038;jsv=627058929&#038;rurl=https%3A%2F%2Fschools.aglasem.com%2Fncert-exemplar-class-8-mathematics-unit-8%2F&#038;referer=https%3A%2F%2Fschools.aglasem.com%2Fncert-exemplar-class-8-mathematics%2F<\/p>\n\n\n\n<p>(d) Suppose you start with a sheet of paper having area 324 cm2. Copy and complete the table to show the area of each ballot paper after each of the first 10 cuts.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028281752_a14d52c088_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>Observe the table and write an expression which gives the area of ballot papers after n number of cuts on sheet of given area A.<\/p>\n\n\n\n<p>(e) If you want 512 ballot papers each having area 16 cm2, then what will be the area of starting paper?<\/p>\n\n\n\n<p><strong>Activity 2<\/strong><\/p>\n\n\n\n<p>1. To meke ballot papers cut a sheet of paper into three. Stack the three pieces and cut the stack into three. Stack all the pieces and cut the stack into three again.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028075686_3911896b7e_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>(a) Complete the table to show the number of ballot papers after five such steps:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028078021_36d463239a_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>(b) Suppose you continue this process. How many ballot papers would you have after 15 steps? How many would you have after n cuts?<\/p>\n\n\n\n<p>(c) How many steps would it take to make at least one lakh ballot paper?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Crossword<\/h3>\n\n\n\n<p><strong>Across<\/strong><\/p>\n\n\n\n<p>(1) In xm \u00d7 xn = xp , p is the _________ of m and n.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49027570753_de91b4fbe7_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Down<\/strong><\/p>\n\n\n\n<p>(5) The value of 3\u207b\u00b3<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028301892_cc5a0320e9_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\/49028304522_d0530140f8_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><a href=\"https:\/\/docs.aglasem.com\/view\/0411e0b6-008a-11ea-b8c4-02f21f5619c4\/\">Click here<\/a>&nbsp;to download the NCERT Exemplar Class 8 Maths Unit 8 Exponents and Powers<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><a href=\"https:\/\/schools.aglasem.com\/ncert-exemplar-class-8-mathematics-unit-8\/\">\u00ab Previous<\/a><a href=\"https:\/\/schools.aglasem.com\/ncert-exemplar-class-8-mathematics-unit-9\/\">Next \u00bb<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Answers to 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\/2024\/04\/49028101426_ed966a7daf_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\/49028103861_325d314da4_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\/49027594028_467161e5bf_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\/49027596253_8b5481906a_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\/49028112616_2cd2ca3dda_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\/49028326732_273077033e_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\/49027605473_db6525c79f_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\/49028333437_d0ec0d7e05_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\/49027610723_d78aa2b384_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\/49028338917_ab5e275a7d_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\/49028131391_e6546a077d_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\/49027619873_69993e1c87_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\/49027621858_31e6d2219b_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\/49028348682_1ce9c49f01_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Activities<\/h3>\n\n\n\n<p><strong>Activity 1<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49028142596_1a0d9c8066_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Activity 2<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/04\/49027631213_b1581288f2_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-8-Maths-solutions\/\" style=\"background-color:#f06d6d\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT Class 8 Exemplar Solutions<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Exemplar Class 8 Maths&nbsp;Chapter 8: Exponents and Powers. NCERT Exemplar Solutions for Class 8 Maths&nbsp;Chapter 8 Exponents and Powers prepare students for their Class 8 exams thoroughly. Maths&nbsp;problems and solutions for the Class 8 pdf are provided here which are similar to the questions being asked in the previous year&#8217;s board. NCERT Exemplar Class [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":620689,"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":[1411,58],"tags":[],"boards":[],"class_list":["post-620687","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-8","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 8, Maths\u00a0Chapter 8 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"NCERT Exemplar Class 8 Maths\u00a0Chapter 8: Exponents and Powers | Browse all Class 8 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-8-maths-chapter-8-exponents-and-powers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Class 8 Maths\u00a0Chapter 8: Exponents and Powers\" \/>\n<meta property=\"og:description\" content=\"NCERT Exemplar Class 8 Maths&nbsp;Chapter 8: Exponents and Powers. 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