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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.

Solution:

(A). The distance between Earth and Moon is 384,000,000 m.

Standard Form = 3.84 × 108 m

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

Standard Form = 3 × 108 m / s

(C). The diameter of the Earth is 1,27,56,000 m.

Standard Form = 1.2756 × 107 m

(D). Diameter of the Sun is 1,400,000,000 m.

Standard Form = 1.4 × 109 m

(E). In a galaxy, there are on average 100,000,000,000 stars.

Standard Form = 1 × 1011 stars

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

Standard Form = 1.2 × 1010 years 

(G). The distance of the Sun from the center of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.

Standard Form = 3 × 1020 m

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

Standard Form = 6.023 × 1022 molecules

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

Standard Form = 1.353 × 109 cubic km

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

Standard Form = 1.027 × 109

☛ Check: NCERT Solutions Class 7 Maths Chapter 13

Video Solution:

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

Maths NCERT Solutions Class 7 Chapter 13 Exercise 13.3 Question 4

Summary:

The standard form of the following values (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 are: (A) 3.84 × 108 m, (B) 3 × 108 m / s, (C) 1.2756 × 107 m, (D) 1.4 × 109 m, (E) 1 × 1011 stars, (F) 1.2 × 1010 years, (G) 3 × 1020 m, (H) 6.023 × 1022 molecules, (I) 1.353 × 109 cubic km, (J) 1.027 × 109.

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