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 answer

To find out how much bigger Jupiter's radius is compared to Earth's radius, we can calculate the ratio of Jupiter's radius to Earth's radius.

Earth's radius (E) = 3,959 miles
Jupiter's radius (J) = \( 4.3441 \times 10^4 \) miles

Now, we calculate the ratio \( R \) as follows:

\[ R = \frac{J}{E} = \frac{4.3441 \times 10^4}{3,959} \]

Next, we perform the division:

  1. First, calculate \( 4.3441 \times 10^4 \) divided by \( 3,959 \):

\[ 4.3441 \times 10^4 \div 3,959 \approx 10.96 \]

  1. Next, convert \( 10.96 \) into scientific notation.

To do this, we express \( 10.96 \) as \( 1.096 \times 10^1 \).

  1. Therefore, the ratio can be expressed in scientific notation:

\[ R \approx 1.096 \times 10^1 \]

Putting it all together, the answer to how much bigger Jupiter's radius is compared to Earth's radius is:

\[ \frac{4.3441 \times 10^4}{3,959} \approx 1.096 \times 10^1 \]

Thus:

Jupiter’s radius is approximately \( 1.096 \times 10^1 \) times bigger than Earth’s radius, in scientific notation.