Chapter 7.2, Problem 21PPE

To determine

To Find: About how many miles from the sun is Saturn

Answer to Problem 21PPE

The required answer is that the Saturn is $8.83\times {10}^7$ miles away from Sun.

Explanation of Solution

Given information:

The distance light travels in one light second is about $1.86\times {10}^5$ miles.

Saturn is about 475 light seconds from the Sun.

Calculation:

The distance light travels in one light second is about $1.86\times {10}^5$ miles.

Saturn is about 475 light seconds from the Sun.

Therefore, number of miles the Saturn is from the Sun will be:

  $\begin{array}{l}=\left(1.86\times {10}^5\right)\cdot \left(475\right)\\ =\left(1.86\cdot 475\right)\times {10}^5\end{array}$

(Commutative and associative properties of multiplication)

  $=883.5\times {10}^5$

(Simplify)

  $=8.83\times {10}^7$

(Write in scientific notation)