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Q.4.    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 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.

Answers (1)

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(a) The distance between Earth and Moon = 384,000,000 m

$=384\times 1000000$

$=3.84 \times 100\times 1000000$

$=3.84 \times 10^8m$

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

$=3\times 100000000$

$=3\times 10^8$

(c) Diameter of the Earth = 1,27,56,000 m.

$=12756\times 1000$

$=1.2756\times 10000\times 1000$

$=1.2756\times 10^7m$

(d) Diameter of the Sun = 1,400,000,000 m.

$=14\times 100000000$

$=14\times 10^8m$

$=1.4\times 10^9m$

(e) In a galaxy there are on an average = 100,000,000,000 stars.

$=1\times 100000000000$

$=1\times 10^{11}$

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

$=1.2\times 10000000000$

$=1.2\times 10^{10}years$

(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated = 300,000,000,000,000,000,000 m.

$=3\times 100000000000000000000000000000$

$=3 \times 10^{19}$

(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.

60,230,000,000,000,000,000,000

$= 6023\times 10000,000,000,000,000,000$

$= 6023\times 10^{19}$

(i) The earth has 1,353,000,000 cubic km of seawater.

$=1.353\times 1000000000$

$=1.353\times 10^9 km^3$

(j) The population of India was about 1,027,000,000 in March 2001.

$=1.027\times 1000000000$

$=1.027\times 10^9$

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