Question

The diameter of the Sun is about 1.4 × 10^6 km. The diameter of Mars is about 7000 km.

What is the approximate ratio of the diameter of the Sun to the diameter of Mars?
A. 5 × 10^-3
B. 5 × 10^2
C. 2 × 10^3
D. 2 × 10^2

Answer 1

The answer should be C

Answer 2

C.) 2×10²

Explanation:

(Sun dia) / (Mars dia) = (1.4 x 10⁶ km) / (0.7 × 10⁴ km) = (1.4/0.7) × 10²

The ratio of diameters is about 2 × 10².

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The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

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The diameter of Mars can be expressed several ways.

7000 = 7×1000 = 0.7×10,000 = 0.7×10⁴