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

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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.

Board CBSE
Textbook NCERT
Class Class 7
Subject Maths
Chapter Chapter 13
Chapter Name Exponents and Powers
Exercise Ex 13.3
Number of Questions Solved 4
Category NCERT Solutions

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:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 34
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 35

Question 2.
Find the number from each of the following expanded forms :
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 36
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 37
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 :

  1. The distance between Earth and Moon is 384,000,000 m.
  2. The speed of light in a vacuum is 300,000,000 miles.
  3. The diameter of the Earth is 1,27,56,000 m.
  4. Diameter of the Sun is 1,400,000,000 m.
  5. In a galaxy, there are on average 100,000,000,000 stars.
  6. The universe is estimated to be about 12,000,000,000 years old.
  7. 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.
  8. 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
  9. The earth has 1,353,000,000 cubic km of seawater.
  10. The population of India was about 1,027,000,000 in March 2001.

Solution:

  1. The mean distance between Earth and Moon is 3.84 × 108 m.
  2. The speed of light in a vacuum is 3 × 108 m/s.
  3. The diameter of the Earth is 1.2756 × 107 m.
  4. The diameter of the Sun is 1.4 × 109 m.
  5. In a galaxy, there are on average 1 × 1011 stars.
  6. The universe is estimated to be about 1.2 × 1010 years old.
  7. The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 3 × 1020 m.
  8. 6.023 × 1022 molecules are contained in a drop of water weighing 1.8 gm.
  9. The earth has 1.353 × 109 cubic km of seawater.
  10. The population of India was about 1.027 × 109 in March 2001.

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