NCERT Solutions for Class 8 Maths<\/a> Chapter 12 Exponents and Powers InText Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers InText Questions<\/h2>\n NCERT Intext Question Page No. 194<\/span><\/p>\nQuestion 1. \nFind the multiplicative inverse of the following: \n(i) 2-4<\/sup> \n(ii) 105<\/sup> \n(iii) 7-2<\/sup> \n(iv) 5-3<\/sup> \n(v) 10-100<\/sup> \nAnswer: \n(i) The multiplicative inverse of 2-4<\/sup> = 24<\/sup> \n(ii) The multiplicative inverse of 10-5<\/sup> = 105<\/sup> \n(iii) The multiplicative inverse of 7-2<\/sup> = 72<\/sup> \n(iv) The multiplicative inverse of 5-3<\/sup> = 53<\/sup> \n(v) The multiplicative inverse of 10-100<\/sup> = 10100<\/sup><\/p>\n <\/p>\n
Question 2. \nExpand the following numbers using exponents. \n(i) 1025.63 \n(ii) 1256.249 \nAnswer:<\/p>\n
\n\n\nNumber<\/td>\n Expanded form<\/td>\n<\/tr>\n \n(i) 1025.63<\/td>\n 1 x 1000 + 0 x 100 + 2 x 10 + 5\u00a0 x 1 \\(\\frac{6}{10}+\\frac{3}{100}\\) or \n1 x 103<\/sup> + 2 x 101<\/sup> + 5 x 10\u00b0 + 6 x 10-1<\/sup> + 3 x 10-2<\/sup><\/td>\n<\/tr>\n\n(ii) 1025.249<\/td>\n 1 x 1000 +2 x 100 +5 x 10 + 6 x 1 + \\(\\frac{2}{10}+\\frac{4}{100}+\\frac{9}{1000}\\) \nor \n1 x 103<\/sup> + 2 x 102<\/sup> + 5 x 101<\/sup> + 6 x 10\u00b0 + 2 x 10-1<\/sup> + 9 x 10-3<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nNCERT Intext Question Page No. 195<\/span><\/p>\nQuestion 1. \nSimplify and write in exponential form. \n(i) (-2)-3<\/sup> x (-2)-4<\/sup> \n(ii) p3<\/sup> x p-10<\/sup> \n(iii) 32<\/sup> x 3-5<\/sup> x 36<\/sup> \nAnswer: \n(i) (-2)-3<\/sup> x (-2)-4<\/sup> = (-2)3-4<\/sup> \n[am<\/sup> x an<\/sup> = am+n<\/sup>] \n= (-2)-7<\/sup> = \\(\\frac{1}{(-2)^{7}}\\)<\/p>\n(ii) p3<\/sup> x p-10<\/sup> = p3 + (-10)<\/sup> = p3 – 10 <\/sup>= p7<\/sup> or \\(\\frac{1}{\\mathrm{p}^{7}}\\)<\/p>\n <\/p>\n
(iii) 32<\/sup> x 3-5<\/sup> x 36<\/sup> = 32 + (- 5) + 6<\/sup> = 32 – 5 + 6<\/sup> = 38-5<\/sup> = 33<\/sup><\/p>\nNCERT Intext Question Page No. 199<\/span><\/p>\nQuestion 1. \nWrite the following numbers in standard form. \n(i) 0.000000564 \n(ii) 0.0000021 \n(iii) 15240000 \nAnswer: \n(i) 0.000000564 = \\(\\frac{564}{1000000000}=\\frac{564}{10^{9}}\\) \n= \\(\\frac{5.64 \\times 10^{2}}{10^{9}}\\) = 5.64 x 10-7<\/sup><\/p>\n(ii) 0.0000021 = \\(\\frac{21}{10000000}=\\frac{21}{10^{7}}\\) \n= \\(\\frac{2.1 \\times 10}{10^{7}}\\) = 2.1 x 101-7<\/sup> = 2.1 x 10-6<\/sup><\/p>\n(iii) 15240000 = 1524 x 10000 \n= 1.524 x 1000 x 10000 = 1.524 x 107<\/sup> \n\u2234 15240000 = 1.524 x 107<\/sup><\/p>\n <\/p>\n
Question 2. \nWrite all the facts give in the standard form. \nAnswer: \nA number is said to be in the standard form when it is written as k x 10n<\/sup>, Where 1 \u2264 k < 10 and ‘n’ is an integer. A number expressed as the product of a number between 1 and 10 and an integral power of 10. \nExample: Compare the size of a red blood cell which is 0.000007m to that of a plant cell which is 0.0000129m. \nSize of red blood cell = 0.000007 m \n= \\(\\frac{7}{1000000}\\) x 10-6<\/sup> m \nSize of the plant cell = \\(\\frac{7}{10000000} \\mathrm{~m}=\\frac{1.29 \\times 10^{2}}{10000000} \\mathrm{~m}\\) \n= 1.29 x 10-5<\/sup> m \nNow = \\(\\frac{7 \\times 10^{-6}}{1.29 \\times 10^{-5}}=\\frac{7 \\times 10^{-1}}{1.29}\\) \n= \\(\\frac{7 \\times 10^{-1}}{1.3}=\\frac{0.7}{1.3}=\\frac{1}{2}\\) (approx) \nThus, the size of a red blood cell is half of the plant cell size.<\/p>\n","protected":false},"excerpt":{"rendered":"These NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers InText Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers InText Questions NCERT Intext Question Page No. 194 Question 1. Find the multiplicative inverse of the following: (i) 2-4 (ii) …<\/p>\n
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers InText Questions<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers InText Questions - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n