{"id":4332,"date":"2016-05-13T11:49:00","date_gmt":"2016-05-13T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-7-maths-exponents-and-powers-ex-13-3\/"},"modified":"2018-07-09T12:34:37","modified_gmt":"2018-07-09T07:04:37","slug":"ncert-solutions-for-class-7-maths-exercise-13-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 13.3"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-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:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#NCERT_Solutions_for_Class_7_Maths_Exponents_and_Powers\" >NCERT Solutions for Class 7 Maths\u00a0Exponents and Powers<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#Class_%E2%80%93VII_Mathematics_Ex_133\" >Class \u2013VII Mathematics (Ex. 13.3)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#Question_1Write_the_following_numbers_in_the_expanded_form\" >Question 1.Write the following numbers in the expanded form:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#Question_2Find_the_number_from_each_of_the_following_expanded_forms\" >Question 2.Find the number from each of the following expanded forms:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#Question_3Express_the_following_numbers_in_standard_form\" >Question 3.Express the following numbers in standard form:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#Question_4Express_the_number_appearing_in_the_following_statements_in_standard_form\" >Question 4.Express the number appearing in the following statements in standard form:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#NCERT_Solutions_for_Class_7_Maths_Exercise_133\" >NCERT Solutions for Class 7 Maths Exercise 13.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/#CBSE_app_for_Students\" >CBSE app for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 7 Maths Exercise 13.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0Exponents and Powers\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-07-mathematics-exponents-and-powers\/1522\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/07_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 7 Maths Exercise 13.3\" width=\"157\" height=\"199\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Exponents_and_Powers\"><\/span>NCERT Solutions for Class 7 Maths\u00a0Exponents and Powers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VII_Mathematics_Ex_133\"><\/span><strong>Class \u2013VII Mathematics (Ex. 13.3)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"Question_1Write_the_following_numbers_in_the_expanded_form\"><\/span><strong>Question 1.<\/strong>Write the following numbers in the expanded form:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>279404, 3006194, 2806196, 120719, 20068<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) 2,79,404 = 2,00,000 + 70,000 + 9,000 + 400 + 00 + 4<\/p>\n<p>= 2 x 100000 + 7 x 10000 + 9 x 1000 + 4 x 100 + 0 x 10 + 4 x 1<\/p>\n<p>= {tex}2 \\times {10^5} + 7 \\times {10^4} + 9 \\times {10^3} + 4 \\times {10^2} + 0 \\times {10^1} + 4 \\times {10^0}{\/tex}<\/p>\n<p>(ii) 30,06,194 = 30,00,000 + 0 + 0 + 6,000 + 100 + 90 + 4<\/p>\n<p>= 3 x 1000000 + 0 x 100000 + 0 x 10000 + 6 x 1000 + 1 x 100 + 9 x 10 +<\/p>\n<p>4 x 1<\/p>\n<p>= {tex}3 \\times {10^6} + 0 \\times {10^5} + 0 \\times {10^4} + 6 \\times {10^3} + 1 \\times {10^2} + 9 \\times 10 + 4 \\times {10^0}{\/tex}<\/p>\n<p>(iii) 28,06,196 = 20,00,000 + 8,00,000 + 0 + 6,000 + 100 + 90 + 6<\/p>\n<p>= 2 x 1000000 + 8 x 100000 + 0 x 10000 + 6 x 1000 + 1 x 100 + 9 x 10 +<\/p>\n<p>6 x 1<\/p>\n<p>= {tex}2 \\times {10^6} + 8 \\times {10^5} + 0 \\times {10^4} + 6 \\times {10^3} + 1 \\times {10^2} + 9 \\times 10 + 6 \\times {10^0}{\/tex}<\/p>\n<p>(iv) 1,20,719 = 1,00,000 + 20,000 + 0 + 700 + 10 + 9<\/p>\n<p>= 1 x 100000 + 2 x 10000 + 0 x 1000 + 7 x 100 + 1 x 10 + 9 x 1<\/p>\n<p>= {tex}1 \\times {10^5} + 2 \\times {10^4} + 0 \\times {10^3} + 7 \\times {10^2} + 1 \\times {10^1} + 9 \\times {10^0}{\/tex}<\/p>\n<p>(v) 20,068 = 20,000 + 00 + 00 + 60 + 8<\/p>\n<p>= 2 x 10000 + 0 x 1000 + 0 x 100 + 6 x 10 + 8 x 1<\/p>\n<p>= {tex}2 \\times {10^4} + 0 \\times {10^3} + 0 \\times {10^2} + 6 \\times {10^1} + 8 \\times {10^0}{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 13.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_2Find_the_number_from_each_of_the_following_expanded_forms\"><\/span><strong>Question 2.<\/strong>Find the number from each of the following expanded forms:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) {tex}\\;8 \\times {10^4} + 6 \\times {10^3} + 0 \\times {10^2} + 4 \\times {10^1} + 5 \\times {10^0}{\/tex}<\/p>\n<p>(b) {tex}4 \\times {10^5} + 5 \\times {10^3} + 3 \\times {10^2} + 2 \\times {10^0}{\/tex}<\/p>\n<p>(c) {tex}3 \\times {10^4} + 7 \\times {10^2} + 5 \\times {10^0}{\/tex}<\/p>\n<p>(d) {tex}9 \\times {10^5} + 2 \\times {10^2} + 3 \\times {10^1}{\/tex}<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a){tex}\\;8 \\times {10^4} + 6 \\times {10^3} + 0 \\times {10^2} + 4 \\times {10^1} + 5 \\times {10^0}{\/tex}<\/p>\n<p>= 8 x 10000 + 6 x 1000 + 0 x 100 + 4 x 10 + 5 x 1<\/p>\n<p>= 80000 + 6000 + 0 + 40 + 5<\/p>\n<p>= 86,045<\/p>\n<p>(b) {tex}4 \\times {10^5} + 5 \\times {10^3} + 3 \\times {10^2} + 2 \\times {10^0}{\/tex}<\/p>\n<p>= 4 x 100000 + 0 x 10000 + 5 x 1000 + 3 x 100 + 0 x 10 + 2 x 1<\/p>\n<p>= 400000 + 0 + 5000 + 3000 + 0 + 2<\/p>\n<p>= 4,05,302<\/p>\n<p>(c) {tex}3 \\times {10^4} + 7 \\times {10^2} + 5 \\times {10^0}{\/tex}<\/p>\n<p>= 3 x 10000 + 0 x 1000 + 7 x 100 + 0 x 10 + 5 x 1<\/p>\n<p>= 30000 + 0 + 700 + 0 + 5<\/p>\n<p>= 30,705<\/p>\n<p>(d) {tex}9 \\times {10^5} + 2 \\times {10^2} + 3 \\times {10^1}{\/tex}<\/p>\n<p>= 9 x 100000 + 0 x 10000 + 0 x 1000 + 2 x 100 + 3 x 10 + 0 x 1<\/p>\n<p>= 900000 + 0 + 0 + 200 + 30 + 0<\/p>\n<p>= 9,00,230<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 13.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_3Express_the_following_numbers_in_standard_form\"><\/span><strong>Question 3.<\/strong>Express the following numbers in standard form:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i) 5,00,00,000<\/p>\n<p>(ii) 70,00,000<\/p>\n<p>(iii) 3,18,65,00,000<\/p>\n<p>(iv) 3,90,878<\/p>\n<p>(v) 39087.8<\/p>\n<p>(vi) 3908.78<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) 5,00,00,000 = 5 x 1,00,00,000 = {tex}5 \\times {10^7}{\/tex}<\/p>\n<p>(ii) 70,00,000 = 7 x 10,00,000 = {tex}7 \\times {10^6}{\/tex}<\/p>\n<p>(iii) 3,18,65,00,000 = 31865 x 100000 = 3.1865 x 10000 x 100000 = {tex}3.1865 \\times {10^9}{\/tex}<\/p>\n<p>(iv) 3,90,878 = 3.90878 x 100000 = {tex}3.90878 \\times {10^5}{\/tex}<\/p>\n<p>(v) 39087.8 = 3.90878 x 10000 = {tex}3.90878 \\times {10^4}{\/tex}<\/p>\n<p>(vi) 3908.78 = 3.90878 x 1000 = {tex}3.90878 \\times {10^3}{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 13.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_4Express_the_number_appearing_in_the_following_statements_in_standard_form\"><\/span><strong>Question 4.<\/strong>Express the number appearing in the following statements in standard form:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) The distance between Earth and Moon is 384,000,000 m.<\/p>\n<p>(b) Speed of light in vacuum is 300,000,000 m\/s.<\/p>\n<p>(c) Diameter of Earth id 1,27,56,000 m.<\/p>\n<p>(d) Diameter of the Sun is 1,400,000,000 m.<\/p>\n<p>(e) In a galaxy there are on an average 100,000,000,0000 stars.<\/p>\n<p>(f) The universe is estimated to be about 12,000,000,000 years old.<\/p>\n<p>(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.<\/p>\n<p>(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.<\/p>\n<p>(i) The Earth has 1,353,000,000 cubic km of sea water.<\/p>\n<p>(j) The population of India was about 1,027,000,000 in march, 2001.<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) The distance between Earth and Moon = 384,000,000 m<\/p>\n<p>= 384 x 1000000 m = 3.84 x 100 x 1000000<\/p>\n<p>= {tex}3.84 \\times {10^8}{\/tex} m<\/p>\n<p>(b) Speed of light in vacuum = 300,000,000 m\/s<\/p>\n<p>= 3 x 100000000 m\/s<\/p>\n<p>= {tex}3 \\times {10^8}{\/tex} m\/s<\/p>\n<p>(c) Diameter of the Earth = 1,27,56,000 m<\/p>\n<p>= 12756 x 1000 m = 1.2756 x 10000 x 1000 m<\/p>\n<p>= {tex}1.2756 \\times {10^7}{\/tex} m<\/p>\n<p>(d) Diameter of the Sun = 1,400,000,000 m<\/p>\n<p>= 14 x 100,000,000 m = 1.4 x 10 x 100,000,000 m<\/p>\n<p>= {tex}1.4 \\times {10^9}{\/tex} m<\/p>\n<p>(e) Average of Stars = 100,000,000,000<\/p>\n<p>= 1 x 100,000,000,000<\/p>\n<p>= {tex}1 \\times {10^{11}}{\/tex}<\/p>\n<p>(f) Years of Universe = 12,000,000,000 years<\/p>\n<p>= 12 x 1000,000,000 years<\/p>\n<p>= 1.2 x 10 x 1000,000,000 years<\/p>\n<p>= {tex}1.2 \\times {10^{10}}{\/tex} years<\/p>\n<p>(g) Distance of the Sun from the = 300,000,000,000,000,000,000 m<\/p>\n<p>centre of the Milky Way Galaxy = 3 x 100,000,000,000,000,000,000 m<\/p>\n<p>= {tex}3 \\times {10^{20}}{\/tex} m<\/p>\n<p>(h) Number of molecules in a drop = 60,230,000,000,000,000,000,000<\/p>\n<p>of water weighing 1.8 gm = 6023 x 10,000,000,000,000,000,000<\/p>\n<p>= 6.023 x 1000 x 10,000,000,000,000,000,000<\/p>\n<p>= {tex}6.023 \\times {10^{22}}{\/tex}<\/p>\n<p>(i) The Earth has Sea water = 1,353,000,000 {tex}k{m^3}{\/tex}<\/p>\n<p>= 1,353 x 1000000 {tex}k{m^3}{\/tex}<\/p>\n<p>= 1.353 x 1000 x 1000,000 {tex}k{m^3}{\/tex}<\/p>\n<p>= {tex}1.353 \\times {10^9}{\/tex} {tex}k{m^3}{\/tex}<\/p>\n<p>(j) The population of India = 1,027,000,000<\/p>\n<p>= 1027 x 1000000<\/p>\n<p>= 1.027 x 1000 x 1000000<\/p>\n<p>= {tex}1.027 \\times {10^9}{\/tex}<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Exercise_133\"><\/span>NCERT Solutions for Class 7 Maths Exercise 13.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 7 Maths Exercise 13.3 PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Students\"><\/span>CBSE app for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 7 Maths, Social Science Computer Science, Home Science, Hindi English, Maths Science 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","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Exercise 13.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise &#8230; <a title=\"NCERT Solutions for Class 7 Maths Exercise 13.3\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-13-3\/\" aria-label=\"More on NCERT Solutions for Class 7 Maths Exercise 13.3\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1388,281],"tags":[283,1535,321,1485,216],"class_list":["post-4332","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-07","category-ncert-solutions","tag-cbse-study-material","tag-class-7","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 7 Maths Exercise 13.3 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 7 Maths Exercise 13.3 in PDF format for free download. 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