The diameter of Sun is (1.4 ×10^8)m and the diameter of Earth is (1.2742×10^4)m . Show that the diameter of sun is nearly 100 times the diameter of Earth.

while the sun is indeed about 109 times as wide as the earth, the numbers given above are wrong. If you check,

10^8/10^4 = 10^4 = 10,000, not 100

google diameter of sun, earth and you will see that this problem is bogus as written.

To show that the diameter of the sun is nearly 100 times the diameter of the Earth, we can compare their values by dividing the diameter of the sun by the diameter of the Earth.

Diameter of the Sun = 1.4 × 10^8 m
Diameter of the Earth = 1.2742 × 10^4 m

To perform this comparison, divide the diameter of the Sun by the diameter of the Earth:

(1.4 × 10^8 m) / (1.2742 × 10^4 m) = 1.0991 × 10^4

This means the diameter of the sun is approximately 10,991 times larger than the diameter of the Earth.

So, we can conclude that the diameter of the sun is nearly 11,000 times (or approximately 100 times) the diameter of the Earth.