A light year is the distance that light can travel in one year.

1 light year = 9,460,000,000,000 km.

(a) Express one light year in scientific notation.

(b) The average distance between Earth and Sun is 1.496 × 10⁸ km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?

The standard form of the number 12345 is

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) 3, 9087.8

(vi) 3908.78

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.

(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 the Sun form the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 gm.

(h) 60,230, 000,000,000,000,000,000 molecules are contained in a drop of water weighting 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

State whether the given statements are True or False.

4 × 10⁵ + 3 × 10⁴ + 2 × 10³ + 1 × 10⁰ = 432010

State whether the given statements are True or False.

600060 = 6 × 10⁵ + 6 × 10²

State whether the given statements are True or False.

8 × 10⁶ + 2 × 10⁴ + 5 × 10² + 9 × 10⁰ = 8020509

State whether the given statements are True or False.

876543 = 8 × 10⁵ + 7 × 10⁴ + 6 × 10³ + 5 × 10² + 4 × 10¹ + 3 × 10⁰

State whether the given statements are True or False.

In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10.

Express the following numbers in standard form:

5, 83, 00, 00, 00, 000

Express the following in usual form:

(a) 8.01 × 10⁷

(b) 1.75 × 10^–3