{"id":3388,"date":"2022-12-12T06:48:19","date_gmt":"2022-12-12T06:48:19","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3388"},"modified":"2023-01-31T06:50:58","modified_gmt":"2023-01-31T06:50:58","slug":"ncert-solutions-class-8-maths-chapter-12-exponents-and-powers-ex-12-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-12-exponents-and-powers-ex-12-2\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers Ex 12.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 12 (Exponents and Powers)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 12 Exponents and Powers <\/strong>Exercise 12.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><strong>Chapter 12: Exponents and Powers<\/strong><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-12-exponents-and-powers-ex-12-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 12.1<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 12.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Express the following numbers in standard form.<br \/>\n<\/strong><strong>(i)<\/strong> 0.0000000000085<br \/>\n<strong>(ii)<\/strong> 0.00000000000942<br \/>\n<strong>(iii)<\/strong> 6020000000000000<br \/>\n<strong>(iv)<\/strong> 0.00000000837<br \/>\n<strong>(v)<\/strong> 31860000000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 0.0000000000085 <\/strong><br \/>\n= 0.0000000000085 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^{12}}{10^{12}}\" alt=\"\\frac{10^{12}}{10^{12}}\" align=\"absmiddle\" \/><br \/>\n= 8.5 \u00d710<sup>-12<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 0.00000000000942<br \/>\n<\/strong>= 0.00000000000942 \u00d7 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^{12}}{10^{12}}\" alt=\"\\frac{10^{12}}{10^{12}}\" width=\"32\" height=\"41\" align=\"absmiddle\" \/><br \/>\n= 9.42\u00d710<sup>-12<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 6020000000000000<\/strong><br \/>\n= 6020000000000000 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^{15}}{10^{15}}\" alt=\"\\frac{10^{15}}{10^{15}}\" align=\"absmiddle\" \/><br \/>\n= 6.02\u00d710<sup>15<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 0.00000000837<\/strong><br \/>\n= 0.00000000837 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^{9}}{10^{9}}\" alt=\"\\frac{10^{9}}{10^{9}}\" align=\"absmiddle\" \/><br \/>\n= 8.37\u00d710<sup>-9<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 31860000000<\/strong><br \/>\n= 31860000000 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^{10}}{10^{10}}\" alt=\"\\frac{10^{10}}{10^{10}}\" align=\"absmiddle\" \/><br \/>\n= 3.186\u00d710<sup>10<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Express the following numbers in the usual form.<br \/>\n<\/strong><strong>(i)<\/strong> 3.02\u00d710<sup>-6<br \/>\n<\/sup><strong>(ii)<\/strong> 4.5\u00d710<sup>4<br \/>\n<\/sup><strong>(iii)<\/strong> 3\u00d710<sup>-8<br \/>\n<\/sup><strong>(iv)<\/strong> 1.0001\u00d710<sup>9<br \/>\n<\/sup><strong>(v)<\/strong> 5.8\u00d710<sup>12<br \/>\n<\/sup><strong>(vi)<\/strong> 3.61492\u00d710<sup>6<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 3.02\u00d710<sup>-6<\/sup><br \/>\n<\/strong>= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3.02}{10^6}\" alt=\"\\frac{3.02}{10^6}\" align=\"absmiddle\" \/><br \/>\n= 0 .00000302<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 4.5\u00d710<sup>4<\/sup><br \/>\n<\/strong>= 4.5<strong>\u00d7<\/strong>10000<br \/>\n= 45000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 3\u00d710<sup>-8<\/sup><br \/>\n<\/strong>= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{10^8}\" alt=\"\\frac{3}{10^8}\" align=\"absmiddle\" \/><br \/>\n= 0.00000003<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 1.0001\u00d710<sup>9<\/sup><br \/>\n<\/strong>= 1000100000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 5.8\u00d710<sup>12<\/sup><br \/>\n<\/strong>= 5.8<strong>\u00d7<\/strong>1000000000000<br \/>\n= 5800000000000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) 3.61492\u00d710<sup>6<br \/>\n<\/sup><\/strong>= 3.61492<strong>\u00d7<\/strong>1000000<br \/>\n= 3614920<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Express the number appearing in the following statements in standard form.<br \/>\n<\/strong><strong>(i)<\/strong> 1 micron is equal to <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{1000000}\" alt=\"\\frac{1}{1000000}\" align=\"absmiddle\" \/> m.<br \/>\n<strong>(ii)<\/strong> Charge of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.<br \/>\n<strong>(iii)<\/strong> Size of bacteria is 0.0000005 m<br \/>\n<strong>(iv) \u00a0<\/strong>Size of a plant cell is 0.00001275 m<br \/>\n<strong>(v)<\/strong> Thickness of a thick paper is 0.07 mm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) <\/strong>1 micron =<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{1000000}\" alt=\"\\frac{1}{1000000}\" align=\"absmiddle\" \/><br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{10^6}\" alt=\"\\frac{1}{10^6}\" align=\"absmiddle\" \/><br \/>\n= 1\u00d710<sup>-6<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) Charge of an electron is 0.00000000000000000016 coulombs<br \/>\n<\/strong>= 0.00000000000000000016 <strong>\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^{19}}{10^{19}}\" alt=\"\\frac{10^{19}}{10^{19}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>= 1.6<strong>\u00d7<\/strong>10<sup>-19\u00a0<\/sup>coulomb<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) Size of bacteria = 0.0000005<br \/>\n<\/strong>=\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10000000}\" alt=\"\\frac{5}{10000000}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10^7}\" alt=\"\\frac{5}{10^7}\" align=\"absmiddle\" \/><br \/>\n= 5\u00d710<sup>-7<\/sup>\u00a0m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) Size of a plant cell is 0.00001275 m<br \/>\n<\/strong>= 0.00001275 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^5}{10^5}\" alt=\"\\frac{10^5}{10^5}\" align=\"absmiddle\" \/><br \/>\n= 1.275 \u00d7 10<sup>-5<\/sup>m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) Thickness of a thick paper = 0.07 mm<br \/>\n<\/strong>0.07 mm<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{100}\" alt=\"\\frac{7}{100}\" align=\"absmiddle\" \/> mm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{10^2}\" alt=\"\\frac{7}{10^2}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= 7\u00d710<sup>-2<\/sup>\u00a0mm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. In a stack, there are 5 books, each having a thickness of 20 mm and 5 paper sheets, each having a thickness of 0.016 mm. What is the total thickness of the stack?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Thickness of one book = 20 mm<br \/>\nThickness of 5 books = 20\u00d75 = 100 mm<br \/>\nThickness of one paper = 0.016 mm<br \/>\nThickness of 5 papers = 0.016\u00d75 = 0.08 mm<br \/>\nTotal thickness of a stack = 100+0.08 = 100.08 mm<br \/>\n= 100.08 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10^2}{10^2}\" alt=\"\\frac{10^2}{10^2}\" align=\"absmiddle\" \/> mm<br \/>\n<img decoding=\"async\" class=\"\" title=\"NCERT Solution For Class 8 Maths Chapter 12\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/08\/ncert-solution-class-8-chapter-12-65.png\" alt=\"Ncert solution class 8 chapter 12-65\" \/>mm<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 12 (Exponents and Powers)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 12 Exponents and Powers Exercise 12.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 12: Exponents and Powers NCERT Solution Class 8 Maths Ex [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[466,467,445,5],"class_list":["post-3388","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-12-exponents-and-powers-in-english","tag-ncert-solutions-class-8-maths-chapter-12-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers Ex 12.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 12 (Exponents and Powers)\u00a0The NCERT Solutions in English Language for Class 8 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