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(a) The distance between Earth and Moon is 384.0. 000 m.

(b) Speed of light in vacuum is 300,000,000 m/s.

(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 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 the 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.

Answer :

(a)\( 384,000,000 m = 3.84 × 10^8 m \)

(b) \( 300,000,000 m/s = 3 × 10^8 m/s \)

(c)\( 1,27,56,000 m = 1.2756 × 10^7 m \)

(d) \( 1,400,000,000 m = 1.4 × 10^9 m \)

(e) \( 100,000,000,000 stars = 1 × 10^{11} stars \)

(f) \( 12,000,000,000 years old = 1.2 × 10^{10} years old \)

(g) \( 300,000,000,000,000,000,000 m = 3 × 10^{20} m \)

(h)\( 60, 230, 000, 000, 000, 000, 000, 000 molecules = 6.023 × 10^{22}molecules\)

(i) \( 1,353,000,000 cubic km = 1.353 × 10^9 cubic km \)

(j)\( 1,0,27,000,000 = 1.027 × 10^9 \)

- Q.1 Write the following numbers in the e×panded forms: 279404, 3006194, 2806196, 120719, 20068
- Q.2 Find the number from each of the following expanded forms: (a) 8 × 10^4 + 6 × 10^3 + 0 × 10^2 + 4 × 10^1 + 5 × 10^0 (b) 4 × 10^5 + 5 × 10^3 + 3 × 10^2 + 2 × 10^0 (c) 3 × 10^4 + 7 × 10^2 + 5 × 10^0 (d) 9 × 10^5 + 2 × 10^2 + 3 × 10^1
- Q. 3 Express the following numbers in standard form: (i) 5,00,00,000 (ii) 70,00,000 (iii) 3,18,65,00,000 (iv) 3,90,878 (v) 39087.8 (vi) 3908.78

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