{"id":8971,"date":"2022-01-25T11:21:17","date_gmt":"2022-01-25T05:51:17","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=8971"},"modified":"2025-05-29T10:20:01","modified_gmt":"2025-05-29T04:50:01","slug":"ncert-solutions-for-class-7-maths-chapter-13-exponents-and-powers-ex-13-3","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/ncert\/ncert-solutions-class7\/maths\/ncert-solutions-for-class-7-maths-chapter-13-exponents-and-powers-ex-13-3\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3"},"content":{"rendered":"

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3<\/h2>\n

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercise 13.3<\/strong>
\nEx 13.3 Class 7 Maths Question 1.
\nWrite the following numbers in the e\u00d7panded forms:
\n279404, 3006194, 2806196, 120719, 20068
\nSolution:
\n(i) 279404 = 2 \u00d7 100000 + 7 \u00d7 10000 + 9 \u00d7 1000 + 4 \u00d7 100 + 0 \u00d7 10 + 4
\n= 2 \u00d7 105<\/sup> + 7 \u00d7 104<\/sup> + 9 \u00d7 1032<\/sup> + 4 \u00d7 102<\/sup> + 0 \u00d7 101<\/sup> + 4 \u00d7 100<\/sup>
\n(ii) 3006194 = 3 \u00d7 1000000 + 0 \u00d7 100000 + 0 \u00d7 10000 + 6 \u00d7 1000 + 1 \u00d7 100 + 9 \u00d7 10 + 4
\n= 3 \u00d7 106<\/sup> + 0 \u00d7 105<\/sup> + 0 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 1 \u00d7 102<\/sup> + 9 \u00d7 101<\/sup> + 4 \u00d7 100<\/sup>
\n(iii) 2806196 = 2 \u00d7 1000000 + 8 \u00d7 100000 + 0 \u00d7 10000 + 6 \u00d7 1000 + 1 \u00d7 100 + 9 \u00d7 10 + 6
\n= 2 \u00d7 106<\/sup> + 8 \u00d7 105<\/sup> + 0 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 1 \u00d7 102<\/sup> + 9 \u00d7 101<\/sup> + 6 \u00d7 100<\/sup>
\n(iv) 120719 = 1 \u00d7 100000 + 2 \u00d7 10000 + 0 \u00d7 1000 + 7 \u00d7 100 + 1 \u00d7 10 + 9
\n= 1 \u00d7 105<\/sup> + 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 7 \u00d7 102<\/sup> + 1 \u00d7 101<\/sup> + 9 \u00d7 100<\/sup>
\n(v) 20068 = 2 \u00d7 10000 + 0 \u00d7 1000 + 0 \u00d7 100 + 6 \u00d7 10 + 8
\n= 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 6 \u00d7 101<\/sup> + 8 \u00d7 100<\/sup><\/p>\n

Ex 13.3 Class 7 Maths Question 2.
\nFind the number from each of the following expanded forms:
\n(a) 8 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 4 \u00d7 101<\/sup> + 5 \u00d7 100<\/sup>
\n(b) 4 \u00d7 105<\/sup> + 5 \u00d7 103<\/sup> + 3 \u00d7 102<\/sup> + 2 \u00d7 100<\/sup>
\n(c) 3 \u00d7 104<\/sup> + 7 \u00d7 102<\/sup> + 5 \u00d7 100<\/sup>
\n(d) 9 \u00d7 105<\/sup> + 2 \u00d7 102<\/sup> + 3 \u00d7 101<\/sup>
\nSolution:
\n(a) 8 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 4 \u00d7 101 + 5 \u00d7 100<\/sup>
\n= 8 \u00d7 10000 + 6 \u00d7 1000 + 0 \u00d7 100 + 4 \u00d7 10 + 5 \u00d7 1
\n= 80000 + 6000 + 0 + 40 + 5 = 86045<\/p>\n

(b) 4 \u00d7 105<\/sup> + 5 \u00d7 103<\/sup> + 3 \u00d7 102<\/sup> + 2 \u00d7 100<\/sup>
\n= 4 \u00d7 100000 + 5 \u00d7 1000 + 3 \u00d7 100 + 2 \u00d7 1
\n= 400000 + 5000 + 300 + 2 = 405302<\/p>\n

(c) 3 \u00d7 104<\/sup> + 7 \u00d7 102<\/sup> + 5 \u00d7 100<\/sup>
\n= 3 \u00d7 10000 + 7 \u00d7 100 + 5 \u00d7 1
\n= 30000 + 700 + 5 = 30705<\/p>\n

(d) 9 \u00d7 105<\/sup> + 2 \u00d7 102<\/sup> + 3 \u00d7 101<\/sup>
\n= 9 \u00d7 100000 + 2 \u00d7 100 + 3 \u00d7 10
\n= 900000 + 200 + 30 = 900230<\/p>\n

Ex 13.3 Class 7 Maths Question 3.
\nExpress the following numbers in standard form:
\n(i) 5,00,00,000
\n(ii) 70,00,000
\n(iii) 3,18,65,00,000
\n(iv) 3,90,878
\n(v) 39087.8
\n(vi) 3908.78
\nSolution:
\n(i) 5,00,00,000 = 5 \u00d7 1077<\/sup>
\n(ii) 70,00,000 = 7 \u00d7 106<\/sup>
\n(iii) 3,18,65,00,000 = 3.1865 \u00d7 109<\/sup>
\n(iv) 3,90,878 = 3.90878 \u00d7 105<\/sup>
\n(v) 39087.8 = 3.90878 \u00d7 104<\/sup>
\n(vi) 3908.7 8 = 3.90878 \u00d7 103<\/sup><\/p>\n

Ex 13.3 Class 7 Maths Question 4.
\nExpress the number appearing in the following statements in standard form:
\n(a) The distance between Earth and Moon is 384.0. 000 m.
\n(b) Speed of light in vacuum is 300,000,000 m\/s.
\n(c) Diameter of the Earth is 1,27,56,000 m.
\n(d) Diameter of the Sun is 1,400,000,000 m.
\n(e) In a galaxy there are an average 100,000,000,000 stars.
\n(f) The universe is estimated to be about 12,000,000,000 years old.
\n(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.
\n(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
\n(i) The Earth has 1,353,000,000 cubic km of sea water.
\n(j) The population of India was about 1,027,000,000 in March 2001.
\nSolution:
\n(a) 384,000,000 m = 3.84 \u00d7 108<\/sup> m
\n(b) 300,000,000 m\/s = 3 \u00d7 108<\/sup> m\/s
\n(c) 1,27,56,000 m = 1.2756 \u00d7 1072<\/sup> m
\n(d) 1,400,000,000 m = 1.4 \u00d7 109<\/sup> m
\n(e) 100,000,000,000 stars = 1 \u00d7 1011<\/sup> stars
\n(f) 12,000,000,000 years old = 1.2 \u00d7 1010<\/sup> years old
\n(g) 300,000,000,000,000,000,000 m = 3 \u00d7 1020<\/sup> m
\n(h) 60, 230, 000, 000, 000, 000, 000, 000 molecules = 6.023 \u00d7 1022<\/sup> molecules
\n(i) 1,353,000,000 cubic km = 1.353 \u00d7 109<\/sup> cubic km
\n(j) 1,0,27,000,000 = 1.027 \u00d7 109<\/sup><\/p>\n","protected":false},"excerpt":{"rendered":"

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 NCERT Solutions for Class 7 Maths Chapter […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"get NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 at infinity learn","custom_permalink":"ncert\/ncert-solutions-class7\/maths\/ncert-solutions-for-class-7-maths-chapter-13-exponents-and-powers-ex-13-3\/"},"categories":[13,87],"tags":[],"table_tags":[],"acf":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"get NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 at infinity learn\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/ncert\/ncert-solutions-class7\/maths\/ncert-solutions-for-class-7-maths-chapter-13-exponents-and-powers-ex-13-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 - 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