earth radius is approximately 3959 miles. Wow Jupiter's radius is approximately 4.3441×10^4 miles how much bigger is Jupiter's radius compared to the Earth's express your answer in scientific notation do not round your answer

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find out how much bigger Jupiter's radius is compared to Earth's radius, we can divide Jupiter's radius by Earth's radius.

Given:

  • Earth's radius: \( R_E = 3959 \) miles
  • Jupiter's radius: \( R_J = 4.3441 \times 10^4 \) miles

We calculate the ratio:

\[ \text{Ratio} = \frac{R_J}{R_E} = \frac{4.3441 \times 10^4}{3959} \]

Performing the calculation:

  1. First, calculate \( 4.3441 \times 10^4 \div 3959 \):

    \[ 4.3441 \times 10^4 \approx 43441 \]

    Now, we divide:

    \[ \frac{43441}{3959} \approx 10.96 \]

  2. Now, convert \( 10.96 \) into scientific notation:

    \[ 10.96 = 1.096 \times 10^1 \]

Thus, Jupiter's radius is approximately \( 1.096 \times 10^1 \) times bigger than Earth's radius.

So, in scientific notation:

\[ \text{Answer} = 1.096 \times 10^1 \]