Question

scientific notation
topic: scientific notation
the volume of the moon is about $2.18 \times 10^{10}$ cubic kilometers. the volume of earth is about $1.09 \times 10^{12}$ 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?
○ 200
○ 100
○ 500
○ 50

Explanation:

Step1: Set up division formula

$\text{Number of Moons} = \frac{\text{Earth's Volume}}{\text{Moon's Volume}} = \frac{1.09 \times 10^{12}}{2.18 \times 10^{10}}$

Step2: Split into coefficient and power parts

$= \frac{1.09}{2.18} \times \frac{10^{12}}{10^{10}}$

Step3: Calculate coefficient and simplify exponents

$\frac{1.09}{2.18} = 0.5$, $\frac{10^{12}}{10^{10}} = 10^{12-10} = 10^2$

Step4: Multiply results

$0.5 \times 10^2 = 50$

Answer:

50