Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.__×__miles

Answer 1

To compare Jupiter's radius to Earth's radius, we need to divide Jupiter's radius by Earth's radius.

Given:

• Earth's radius \( R_E = 3,959 \) miles
• Jupiter's radius \( R_J = 4.3441 \times 10^4 \) miles

Now we calculate the ratio of Jupiter's radius to Earth's radius:

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

First, we compute the numeric value of the denominator:

\[ \frac{4.3441 \times 10^4}{3959} = \frac{43441}{3959} \approx 10.97328 \]

Now, we can express the result in scientific notation. The value \( 10.97328 \) can be rewritten as \( 1.097328 \times 10^1 \).

Thus, we now express the ratio in the form \( a \times b \) where \( a \) is the decimal part and \( b \) is the exponent:

After the full calculation, the ratio of Jupiter's radius to Earth's radius, expressed in scientific notation, is:

\[ \approx 1.097328 \times 10^1 \approx 1.097328 \times 10 = 1.097328 \]

So, if you are looking for the final answer in scientific notation without any rounding:

\[ \approx 1.097328 \times 10 \text{ miles} \]

So, Jupiter’s radius is about \( 1.097328 \times 10^1 \) times larger than Earth’s radius.