NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3.

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3

Question 1.
Write the following numbers in the expand forms :
(i) 279404
(ii) 3006194
(iii) 2806196
(iv) 120719
(v) 20068.
Solution:

Question 2.
Find the number from each of the following expanded forms :

Solution:

Question 3.
Express the following numbers in standard form :

1. 5,00,00,000
2. 70,00,000
3. 3,18,65,00,000
4. 3,90,878
5. 39087.8
6. 3908.78.

Solution:

1. 5,00,00,000 = 5 × 10⁷
2. 70,00,000 = 7 × 10⁶
3. 3,18,65,00,000 = 3.1865 × 10⁹
4. 3,90,878 = 3.90878 × 10⁵
5. 39087.8 = 3.90878 × 10⁴
6. 3908.78 = 3.90878 × 10³.

Question 4.
Express the number appearing in the following statements in standard form :

(a) The distance between Earth and Moon is 384,000,000 m.
(b) Speed of light in vacuum is 300,000,000 mis.
(c) Diameter of the Earth is 1,27,56,000 m.
(d) Diameter of the Sun is 1,400,000,000 m.
(e) In a galaxy there are on an average 100,000,000,000 stars.
(f) The universe is estimated to be about 12,000,000,000 years old.
(g) The distance of Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.
(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
(i) The earth has 1,353,000,000 cubic km of sea water.
(j) The population of India was about 1,027,000,000 in March, 2001.

Solution:

(a) The mean distance between Earth and Moon is 3.84 × 10⁸ m.
(b) Speed of light in vacuum is 3 × 10⁸ m/s.
(c) Diameter of the Earth is 1.2756 × 10⁷ m.
(d) Diameter of the Sun is 1.4 × 10⁹ m.
(e) In a galaxy there are on an average 1 × 10¹¹ stars.
(f) The universe is estimated to be about 1.2 × 10¹⁰ years old.
(g) The distance of Sun from the centre of the Milky Way Galaxy is estimated to be 3 × 10²⁰ m.
(h) 6.023 × 10²² molecules are contained in a drop of water weighing 1.8 gm.
(i) The earth has 1.353 × 10⁹ cubic km of sea water.
(j) The population of India was about 1.027 × 10⁹ in March, 2001.

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