the planet saturn has many moons. moon x is approximately 3 × 10^5 kilometers from saturn. moon y is…

the planet saturn has many moons. moon x is approximately 3 × 10^5 kilometers from saturn. moon y is approximately 2 × 10^7 kilometers from saturn. approximately how many times farther from saturn is moon y than moon x?\na. 0.667 times\nb. 6.67 times\nc. 66.7 times\nd. 667 times

the planet saturn has many moons. moon x is approximately 3 × 10^5 kilometers from saturn. moon y is approximately 2 × 10^7 kilometers from saturn. approximately how many times farther from saturn is moon y than moon x?\na. 0.667 times\nb. 6.67 times\nc. 66.7 times\nd. 667 times

Answer

Answer:

C. 66.7 times

Explanation:

Step1: Set up the ratio

To find out how many times farther Moon Y is from Saturn than Moon X, we divide the distance of Moon Y from Saturn by the distance of Moon X from Saturn. Let $d_Y = 2\times10^{7}$ km and $d_X=3\times 10^{5}$ km. The ratio $r=\frac{d_Y}{d_X}$.

Step2: Perform the division of numbers in scientific - notation

We know that $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$. Here, $a = 2$, $b = 3$, $m = 7$, and $n = 5$. So, $\frac{2\times10^{7}}{3\times10^{5}}=\frac{2}{3}\times10^{7 - 5}$.

Step3: Calculate the result

$\frac{2}{3}\times10^{2}=\frac{2}{3}\times100=\frac{200}{3}\approx66.7$.