Question

The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet Mars is 7000 km. What is the approximate ratio of the diameter to the Sun to the diameter of Mars? A.) 5 x 10^-3 B.) 2 x 10³ C.) 2 x 10² D.) 5 x 10²

Answer 1

Answer:

  C.)  2×10²

Step-by-step 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