Question

1. the approximate circumferences of earth and saturn are shown. how many times greater is the circumference of saturn than the circumference of earth? the circumference of saturn is x 10 km. saturns circumference is about times greater than the circumference of earth.

Explanation:

Step1: Identify given circumferences

The circumference of Earth $C_E = 4.01\times10^{4}$ km, and the circumference of Saturn $C_S= 365882$ km.

Step2: Convert Saturn's circumference to scientific - notation

$365882 = 3.65882\times 10^{5}$ km.

Step3: Calculate the ratio

To find how many times greater Saturn's circumference is than Earth's, we calculate the ratio $\frac{C_S}{C_E}=\frac{3.65882\times 10^{5}}{4.01\times 10^{4}}$.
Using the rule of exponents $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we have $\frac{3.65882}{4.01}\times10^{5 - 4}$.
$\frac{3.65882}{4.01}\approx0.9124$, and $10^{5 - 4}=10^{1}$. So $\frac{C_S}{C_E}\approx0.9124\times 10^{1}=9.124\approx9$.

Answer:

Saturn's circumference is about 9 times greater than the circumference of Earth. The circumference of Earth is $4.01\times 10^{4}$ km, and the circumference of Saturn is $3.65882\times 10^{5}$ km.