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
To determine how much bigger Jupiter's radius is compared to Earth's, we need to do a division of Jupiter's radius by Earth's radius.
First, let's write down the radius of each planet in standard form:
- Earth's radius: \( 3,959 \) miles
- Jupiter's radius: \( 4.3441 \times 10^4 \) miles
Now, let's perform the division:
\[
\frac{{\text{Jupiter's radius}}}{{\text{Earth's radius}}} = \frac{{4.3441 \times 10^4}}{{3,959}}
\]
To perform this division, we can express Earth's radius as a number in scientific notation, which is \( 3.959 \times 10^3 \).
Now, let's divide the two:
\[
\frac{{4.3441 \times 10^4}}{{3.959 \times 10^3}}
\]
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents of 10:
\[
= \frac{{4.3441}}{{3.959}} \times 10^{(4-3)}
\]
Doing the division of the coefficients:
\[
= 1.0972... \times 10^1
\]
Jupiter's radius is approximately \( 1.0972 \times 10^1 \) times bigger than Earth's radius, in scientific notation without rounding off the result.