Question

the volume of the moon is about 2.18 × 10¹⁰ cubic kilometers. the volume of earth is about 1.09 × 10¹² cubic kilometers. the number of moons that can fit inside earth can be found by dividing earths volume by the moons volume. about how many moons can fit inside earth? 50 200 500 100

Explanation:

Step1: Identify the volumes

The volume of Earth is $1.09\times 10^{12}$ cubic - kilometers and the volume of the Moon is $2.18\times 10^{10}$ cubic - kilometers.

Step2: Calculate the number of Moons that fit in Earth

We divide Earth's volume by the Moon's volume. Let $n$ be the number of Moons that can fit inside Earth. Then $n=\frac{1.09\times 10^{12}}{2.18\times 10^{10}}$.
Using the rule of exponents $\frac{a\times 10^{m}}{b\times 10^{n}}=\frac{a}{b}\times 10^{m - n}$, we have $\frac{1.09}{2.18}\times 10^{12-10}=0.5\times 10^{2}=50$.

Answer:

50