{"id":26712,"date":"2021-06-26T18:54:36","date_gmt":"2021-06-26T13:24:36","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=26712"},"modified":"2021-06-28T11:15:03","modified_gmt":"2021-06-28T05:45:03","slug":"ncert-solutions-for-class-7-maths-chapter-13-ex-13-3","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-7-maths-chapter-13-ex-13-3\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 13 Exponents and Powers Ex 13.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

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

Question 1.
\nWrite the following numbers in the expanded forms:
\n279404, 3006194, 2806196, 120719, 20068
\nAnswer:
\n(i) 279404
\n= 2 \u00d7 100000 + 7 x 10000 + 9 x 1000 + 4 x 100 + 0x10 + 4×1
\n= 2 \u00d7 105<\/sup> + 7 \u00d7 104<\/sup> + 9 \u00d7 103<\/sup> + 4 \u00d7 102<\/sup> + 0 \u00d7 10 + 4 \u00d7 1
\n= 2 \u00d7 105<\/sup> + 7 \u00d7 104<\/sup> + 9 \u00d7 103<\/sup> + 4 \u00d7 102<\/sup> + 4 \u00d7 100<\/sup><\/p>\n

(ii) 3006194
\n= 3 \u00d7 1000000 + 0 \u00d7 100000 + 0 \u00d7 10000 + 6 \u00d7 1000 + 1 \u00d7 100 + 9 \u00d7 10 + 4 \u00d7 1
\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= 3 \u00d7 106<\/sup> + 6 \u00d7 103<\/sup> + 1 \u00d7 102<\/sup> + 9 \u00d7 101<\/sup> + 4 \u00d7 100<\/sup><\/p>\n

\"NCERT<\/p>\n

(iii) 2806196
\n= 2 \u00d7 1000000 + 8 x 100000 + 0 x 10000 + 6 x 1000 + 1 x 100 + 9 x 10 + 6 x 1
\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= 2 \u00d7 106<\/sup> + 8 \u00d7 105<\/sup> + 6 \u00d7 103<\/sup> + 1 \u00d7 102<\/sup> + 9 \u00d7 10 + 6 \u00d7 100<\/sup><\/p>\n

(iv) 120719
\n= 1 \u00d7 100000 + 2 x 10000 + 0 x 1000 + 7 x 100 + 1 x 10 + 9 x 1
\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= 1 \u00d7 105<\/sup> + 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 7 \u00d7 102<\/sup> + 1 \u00d7 101<\/sup> + 9 \u00d7 100<\/sup><\/p>\n

(v) 20068
\n= 2 \u00d7 10000 + 0 \u00d7 1000 + 0 \u00d7 100 + 6 \u00d7 10 + 8 \u00d7 1
\n= 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 6 \u00d7 101<\/sup> + 8 \u00d7 100<\/sup>
\n= 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 6 \u00d7 101<\/sup> + 8 \u00d7 100<\/sup><\/p>\n

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>
\nAnswer:
\n(a) 8 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 4 \u00d7 101<\/sup> + 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

\"NCERT<\/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
\n= 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 = 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 + 30
\n= 900230<\/p>\n

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
\nAnswer:
\n(i) 5,00,00,000 = 5 \u00d7 100,00,000 = 5 \u00d7 107<\/sup>
\n(ii) 70,00,000 = 7 \u00d7 100,00,00 = 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) 3908.78 = 3.90875 \u00d7 103<\/sup><\/p>\n

\"NCERT<\/p>\n

Question 4.
\nExpress the number appearing in the following statements in standard form.
\n(a) The distance between Earth and Moon is 384,000,000 m.
\n(b) Speed of light in vacuum is 300,0,000 m\/s.
\n(c) Diameter of the Earth is 1,27,56,000 m.
\n(d) Diameterofthe Sunis 1,400,000,000 m.
\n(e) In a galaxy there are on an average 100.0.000.000 stars.
\n(f) The universe is estimated to be about 12.0.000.000 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 1.027.0. 000 in March, 2001.
\nAnswer:
\n(a) 384,000,000 = 3.84 \u00d7 108<\/sup>
\n\u2234 The distance between earth and Moon
\n= 3.84 \u00d7 108<\/sup> m.<\/p>\n

(b) 300,000,000 = 3 \u00d7 108<\/sup>
\n\u2234 Speed of light in vacuum is = 3 \u00d7 108<\/sup>m\/s.<\/p>\n

(c) 1,27,56,000 = 1.2756 \u00d7 107<\/sup>
\n\u2234 Diameter of the Earth is = 1.2756 \u00d7 107<\/sup> m.<\/p>\n

(d) 1,400,000,000= 1.4 \u00d7 109<\/sup>
\n\u2234 The Diameter of the Sun = 1.4 \u00d7 1022<\/sup> m.<\/p>\n

\"NCERT<\/p>\n

(e) 100,000,000,000= 1 \u00d7 1011<\/sup>
\n\u2234 In a galaxy there are on an average = 1 \u00d7 1011<\/sup> stars.<\/p>\n

(f) 12,000,000,000 = 1.2 \u00d7 1010<\/sup>
\n\u2234 The universe is estimated to be about 1.2 \u00d7 1010<\/sup> years old.<\/p>\n

(g) 300,000,000,000,000,000,000 = 3 \u00d7 1020<\/sup>
\n\u2234 The distance of the Sun from the centre of the Milky
\nWay Galaxy is estimated to be = 3 \u00d7 1020<\/sup> m<\/p>\n

(h) 60,230,000,000,000,000,000,000 = 6.023 \u00d7 1022<\/sup>
\n6.023 \u00d7 1022<\/sup> molecules are contained in a drop of water weighing 1.8 gm.<\/p>\n

(i) 1,353,000,000= 1.353 \u00d7 109<\/sup>
\n\u2234 The Earth has 1.353 \u00d7 109<\/sup> cubic km of sea water.<\/p>\n

(j) 1,027,000,000= 1.027 \u00d7 109<\/sup>
\n\u2234 The population of India was about 1.027 \u00d7 109<\/sup> in March, 2001.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercise 13.3 Question 1. Write the following numbers in the expanded forms: 279404, 3006194, 2806196, 120719, 20068 Answer: (i) …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3<\/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":{"spay_email":""},"categories":[9,1],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-7-maths-chapter-13-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 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.2 Questions and Answers are prepared by our highly skilled subject experts. 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NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercise 13.3 Question 1. 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