Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4 miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.(1 point)

2 answers

To find how much bigger Jupiter's radius is compared to Earth's, you would divide Jupiter's radius by Earth's radius:

Jupiter's radius = 4.3441×10^4 miles
Earth's radius = 3,959 miles

First, express Earth's radius in scientific notation:

Earth's radius = 3.959 × 10^3 miles

Now, divide Jupiter's radius by Earth's radius:

(4.3441×10^4 miles) / (3.959×10^3 miles) = (4.3441 / 3.959) × (10^4 / 10^3)

Calculate the ratio of the two numbers:

4.3441 / 3.959 ≈ 1.097210

Now simplify the scientific notation:

(1.097210) × (10^(4-3))

(1.097210) × (10^1) = 1.097210 × 10^1

So Jupiter's radius is approximately 1.097210 times 10^1, or 10.97210 times larger than Earth's radius, when expressed in scientific notation without rounding. Note that this value is a unitless ratio.
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