Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104

Question

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)
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miles

Answer 1

To find out how much bigger Jupiter's radius is compared to Earth's radius, we can use the following formula:

$$\text{Difference}=\text{Jupiter's radius}-\text{Earth's radius}$$

Given:

• Earth’s radius $R_E\approx 3,959$ miles
• Jupiter’s radius $R_J\approx 4.3441\times {10}^4$ miles

Now substituting the values in:

$$\text{Difference}=(4.3441\times {10}^4)-3959$$

To perform this operation, we should convert the Earth's radius to scientific notation:

$$3959=3.959\times {10}^3$$

Now we can calculate:

1. Convert $3959$ miles to the same power of ten as Jupiter's radius:

   $$3.959\times {10}^3=0.03959\times {10}^4$$

2. Now subtract the two radii:

   $$4.3441\times {10}^4-0.03959\times {10}^4=(4.3441-0.03959)\times {10}^4$$

   $$=4.30451\times {10}^4$$

Thus, Jupiter's radius is approximately:

$$\boxed{{\displaystyle 4.30451\times {10}^4}}\text{ miles larger than Earth's radius.}$$