The approximate average distances from the sun to Saturn and Earth are listed below:

Question

Saturn: 1, point, 4, 3, times, 10, to the power 91.43×10
9
kilometers
Earth: 1, point, 5, times, 10, to the power 81.5×10
8
kilometers
How many times farther from the sun is Saturn? Write your answer in standard notation, rounding to the nearest tenth.

Answer 1

To find how many times farther from the sun Saturn is compared to Earth, we need to calculate the ratio of the distances from the sun to Saturn and Earth.

Given:

• Distance to Saturn: \( 1.43 \times 10^{9} \) kilometers
• Distance to Earth: \( 1.5 \times 10^{8} \) kilometers

Now, we calculate the ratio:

\[ \text{Ratio} = \frac{\text{Distance to Saturn}}{\text{Distance to Earth}} = \frac{1.43 \times 10^{9}}{1.5 \times 10^{8}} \]

First, we can simplify the expression:

\[ = \frac{1.43}{1.5} \times \frac{10^{9}}{10^{8}} \]

Calculating \( \frac{10^{9}}{10^{8}} \):

\[ = 10^{9 - 8} = 10^{1} = 10 \]

Now, we need to calculate \( \frac{1.43}{1.5} \):

\[ \frac{1.43}{1.5} \approx 0.9533 \]

Now we can multiply it by 10:

\[ 0.9533 \times 10 \approx 9.533 \]

Therefore, rounding to the nearest tenth:

\[ \text{Ratio} \approx 9.5 \]

So, Saturn is approximately 9.5 times farther from the sun than Earth.