Question

the diameter of the sun is approximately 1.4×10^6 km. the diameter of the moon is approximately 3.5×10^3 km. how many times as great is the diameter of the sun as the diameter of the moon? 0.0004 40 400 4,900,000,000

Explanation:

Step1: Set up division formula

To find out how many times the diameter of the Sun is greater than that of the Moon, we divide the diameter of the Sun by the diameter of the Moon. So the formula is $\frac{1.4\times10^{6}}{3.5\times10^{3}}$.

Step2: Divide the coefficients and exponents separately

First, divide the coefficients: $\frac{1.4}{3.5}=0.4$. Then divide the powers of 10 using the rule $\frac{a^{m}}{a^{n}}=a^{m - n}$, so $\frac{10^{6}}{10^{3}}=10^{6 - 3}=10^{3}$.

Step3: Multiply the results

Multiply the result of the coefficient - division and the result of the exponent - division: $0.4\times10^{3}$. Rewrite $0.4\times10^{3}$ as $400$.

Answer:

400