Question

unit: exponents and polynomials
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
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 earth’s volume by the moon’s volume. about how many moons can fit inside earth?
○ 50
○ 100
○ 500
○ 200

Explanation:

Step1: Set up the division

To find how many Moons fit in Earth, divide Earth's volume by Moon's volume: $\frac{1.09 \times 10^{12}}{2.18 \times 10^{10}}$.

Step2: Divide the coefficients and exponents

Divide coefficients: $\frac{1.09}{2.18} = 0.5$. Divide exponents: $10^{12 - 10} = 10^2 = 100$. Multiply results: $0.5 \times 100 = 50$? Wait, no, wait: Wait, $\frac{1.09\times10^{12}}{2.18\times10^{10}}=\frac{1.09}{2.18}\times10^{12 - 10}$. $\frac{1.09}{2.18}=0.5$, $10^{2}=100$, so $0.5\times100 = 50$? Wait, no, wait, 1.09 / 2.18 is 0.5, and 10^12 / 10^10 is 10^2 = 100. Then 0.5 100 = 50? Wait, but let's check again. Wait, 1.09 × 10¹² is Earth's volume, 2.18 × 10¹⁰ is Moon's. So (1.09 / 2.18) = 0.5, (10¹² / 10¹⁰) = 10² = 100. Then 0.5 100 = 50? Wait, but 0.5 100 is 50? Wait, no, 0.5 100 is 50? Wait, 100 0.5 is 50. So the number of Moons is 50? Wait, but let's do the division again. 1.09 × 10¹² ÷ (2.18 × 10¹⁰) = (1.09 ÷ 2.18) × (10¹² ÷ 10¹⁰) = 0.5 × 10² = 0.5 × 100 = 50. Wait, but wait, 1.09 is half of 2.18, so 1.09/2.18 = 0.5, and 10^12 /10^10 = 100, so 0.5100=50. So the answer is 50.

Answer:

50