Type the correct answer in each box. Use numerals instead of words. The distance from the Earth to the Sun is approximately 90,000,000 miles, which can be written as 9 × 10a miles, where a = __ . The distance from Jupiter to the Sun is approximately 500,000,000 miles, which can be written as 5 × 10b miles, where b = __ . Rounded to the nearest tenth, Jupiter is about __ times further from the Sun than the Earth is from the Sun.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 days ago

The distance from the Earth to the Sun is approximately 90,000,000 miles, which can be written as 9 × 10^7 miles, where a = 7.

The distance from Jupiter to the Sun is approximately 500,000,000 miles, which can be written as 5 × 10^8 miles, where b = 8.

To find how many times further Jupiter is from the Sun than Earth, divide the distance from Jupiter to the Sun by the distance from the Earth to the Sun:

\[
\frac{500,000,000 \text{ miles}}{90,000,000 \text{ miles}} = \frac{5 × 10^8}{9 × 10^7} = \frac{5}{9} × 10^{8-7} = \frac{5}{9} × 10^1 = \frac{50}{9} \approx 5.6
\]

Rounded to the nearest tenth, Jupiter is about 5.6 times further from the Sun than the Earth is from the Sun.

So, the answers are:
a = 7
b = 8
Jupiter is about 5.6 times further from the Sun than the Earth is from the Sun.