Express each of the following numbers in standard form:

(i) Diameter of Earth = 12756000 m.
(ii) Distance between Earth and Moon = 384000000 m.
(iii) Population of India in March 2001 = 1027000000.
(iv) Number of stars in a galaxy = 100000000000.
(v) The present age of universe = 12000000000 years

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Solution

(i) Diameter of the Earth = 1.2756 $\times$ 10⁷ m
[since the decimal point is moved 7 places to the left]

(ii) Distance between the Earth and the Moon = 3.84 $\times$ 10⁸ m
[since the decimal point is moved 8 places to the left]

(iii) Population of India in March 2001 = 1.027 $\times$ 10⁹
[since the decimal point is moved 9 places to the left]

(iv) Number of stars in a galaxy = 1.0 $\times$ 10¹¹
[since the decimal point is moved 11 places to the left]

(v) Present age of the universe = 1.2 $\times$ 10¹⁰years
[since the decimal point is moved 10 places to the left]

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Similar questions

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 m/s.

(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 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.

354, 000, 000 m

384, 000, 000 m

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