Subtract Numbers in Scientific Notation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×104
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)
×

miles
Remaining Attempts : 3
Skip to navigation

Answer 1

To find out how much bigger Jupiter’s radius is compared to Earth's radius, we will subtract Earth's radius from Jupiter's radius.

1. Earth's radius: \( 3,959 \) miles
2. Jupiter's radius: \( 4.3441 \times 10^4 \) miles

First, we need to express Earth's radius in scientific notation.

To convert \( 3,959 \) to scientific notation:

\[ 3,959 = 3.959 \times 10^3 \]

Now we can set up the subtraction:

\[ (4.3441 \times 10^4) - (3.959 \times 10^3) \]

To perform the subtraction, we need a common exponent. In this case, we can convert \( 3.959 \times 10^3 \) to have the same exponent as \( 4.3441 \times 10^4 \).

We can rewrite \( 3.959 \times 10^3 \) as:

\[ 3.959 \times 10^3 = 0.3959 \times 10^4 \]

Now, we can subtract:

\[ (4.3441 \times 10^4) - (0.3959 \times 10^4) = (4.3441 - 0.3959) \times 10^4 \]

Calculating the subtraction:

\[ 4.3441 - 0.3959 = 3.9482 \]

So, we have:

\[ 3.9482 \times 10^4 \]

Thus, Jupiter’s radius is approximately:

\[ 3.9482 \times 10^4 \text{ miles} \]

In conclusion, the answer to how much bigger Jupiter's radius is compared to Earth’s is:

\[ \boxed{3.9482 \times 10^4} \text{ miles} \]