Question
Subtract Numbers in Scientific Notation Practice
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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
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Answers
GPT-4o mini
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:
\[
\boxed{3.9482 \times 10^4} \text{ miles}
\]
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:
\[
\boxed{3.9482 \times 10^4} \text{ miles}
\]