Question

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.

Answer 1

10*a = 10000000

a = 1000000, one million

5*10*b = 500000000

b = 10000000, ten million

About ten times.

Answer 2

Jupiter is about 5.6 times further from the Sun than the Earth is from the Sun.

Explanation:

We are given the following information in the question:

The distance from the Earth to the Sun = 90,000,000 miles

Converting it into scientific form:

`90,000,000 = 9* 10^7\\\text{Comparing to } 9* 10^a\\\Rightarrow a=7`

The distance from Jupiter to the Sun = 500,000,000 miles

Converting it into scientific form:

`500,000,000 = 5* 10^8\\\text{Comparing to } 5* 10^b\\\Rightarrow b=8`

Distance of Jupiter from the Sun and the Earth from the Sun =

`\displaystyle\frac{\text{Distance between Jupiter and Sun}}{\text{Distance between Earth and Sun}}\\\\=(5* 10^8)/(9* 10^7) = 5.55 \appox 5.6`

Hence, Jupiter is about 5.6 times further from the Sun than the Earth is from the Sun.