Question

Express the numbers appearing in the following statements in the standard form:

(i) The distance between the Earth and the Moon is 384,000,000 meters.

(ii) Diameter of the Earth is 1, 27, 56,000 meters.

(iii) Diameter of the Sun is 1,400,000,000 meters.

(iv) The universe is estimated to be about 12,000,000,000 years old.

Answer 1

(i) Given the distance between the Earth and the Moon is 384,000,000 meters.

The distance between the Earth and the Moon is 3.84 x 10⁸ meters.

[Since the decimal point is moved 8 places to the left.]

(ii) Given diameter of the Earth is 1, 27, 56,000 meters.

The diameter of the Earth is 1.2756 x 10⁷ meters.

[Since the decimal point is moved 7 places to the left.]

(iii) Given diameter of the Sun is 1,400,000,000 meters.

The diameter of the Sun is 1.4 x 10⁹ meters.

[Since the decimal point is moved 9 places to the left.]

(iv) Given the universe is estimated to be about 12,000,000,000 years old.

The universe is estimated to be about 1.2 x 10¹⁰ years old.

[Since the decimal point is moved 10 places to the left.]