Question

the average distance from jupiter to the sun is about $5 \times 10^8$ miles. the average distance from venus to the sun is about $7 \times 10^7$ miles. the average distance from jupiter to the sun is about how many times as great as the average distance from venus to the sun?

Explanation:

Step1: Rewrite the numbers in standard form

The distance from Jupiter to the Sun is $5\times10^{8}=50\times10^{7}$ miles (since $10^{8} = 10\times10^{7}$). The distance from Venus to the Sun is $7\times10^{7}$ miles.

Step2: Find the ratio

To find how many times greater the distance from Jupiter to the Sun is than from Venus to the Sun, we divide the distance of Jupiter by the distance of Venus: $\frac{50\times10^{7}}{7\times10^{7}}=\frac{50}{7}\approx7.14$. Since we are looking for an approximate value and 7 is the closest among the given options (assuming the options are around that range, and maybe there was a typo in the problem's options presentation, but following the calculation logic, we approximate to 7 or check the intended calculation). Wait, actually, maybe the problem had a typo and the Jupiter's distance was $7\times10^{8}$? No, as per the given, it's $5\times10^{8}$. Wait, maybe the options are different. Wait, the user's image shows options 9 and 7? Wait, maybe I misread. Wait, let's re - calculate. Wait, $5\times10^{8}\div(7\times10^{7})=\frac{5\times10^{8}}{7\times10^{7}}=\frac{5\times10}{7}=\frac{50}{7}\approx7.14$, which is approximately 7. So the answer is around 7.

Answer:

7 (assuming the options are 9 and 7, and the correct approximate value is 7)