Question

Mercury is 5.790 x 10^7 km from the sun. Saturn is 2.473 x 10^1 times as far away from the sun as mercury is. How far in km is Saturn from the sun

Answer 1

To find out how far Saturn is from the Sun, you can multiply the distance of Mercury from the Sun by the factor given.

The distance of Mercury from the Sun is:
\[
5.790 \times 10^7 \text{ km}
\]

Saturn is \(2.473 \times 10^1\) times as far away from the Sun as Mercury. First, convert \(2.473 \times 10^1\) into a standard number:

\[
2.473 \times 10^1 = 24.73
\]

Now, multiply the distance of Mercury by this factor:

\[
\text{Distance of Saturn} = (5.790 \times 10^7 \text{ km}) \times 24.73
\]

Calculating this gives:

\[
5.790 \times 24.73 \approx 143.2087
\]

Now multiply that by \(10^7\):

\[
\text{Distance of Saturn} \approx 143.2087 \times 10^7 \text{ km} = 1.432087 \times 10^9 \text{ km}
\]

So, the distance of Saturn from the Sun is approximately:

\[
\approx 1.432 \times 10^9 \text{ km}
\] or \( 1.432 \text{ billion kilometers} \).