unit: exponents and polynomials\nprogress:\nthe movement of the progress bar may be uneven because questions…

unit: exponents and polynomials\nprogress:\nthe movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.\nthe 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?\n○ 50\n○ 100\n○ 500\n○ 200

unit: exponents and polynomials\nprogress:\nthe movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.\nthe 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?\n○ 50\n○ 100\n○ 500\n○ 200

Answer

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 0.5*100=50. So the answer is 50.

Answer:

50