Question

the distance from earth to the sun is approximately $1.5 \times 10^{8}$ km. the approximate distance from earth to jupiter is $8.0 \times 10^{8}$ km, and the approximate distance from earth to the moon is 400,000 km.
the earth-jupiter distance is approximately how many times the earth-moon distance?
2
20
200
2,000

Explanation:

Step1: Convert moon distance to scientific notation

$400,000 = 4.0 \times 10^5$ km

Step2: Set up division for ratio

$\text{Ratio} = \frac{\text{Earth-Jupiter distance}}{\text{Earth-moon distance}} = \frac{8.0 \times 10^8}{4.0 \times 10^5}$

Step3: Calculate the ratio

$\frac{8.0}{4.0} \times 10^{8-5} = 2.0 \times 10^3 = 2000$

Answer:

2,000