Question

select the correct answer from each drop - down menu. the distance between earth and mars is 225 million km. when converted using the conversion factor 1 au = 1.5×10^8 km, the distance between the planets is <dropdown>. the astronomical unit (au) is <dropdown> a light - year. reset next

Explanation:

Step1: Recall the conversion factor

We know that 1 AU = 1.5×10⁸ km. We want to convert 225 million km (225×10⁶ km) to AU.

Step2: Set up the conversion formula

Let \(d\) be the distance in AU. Then \(d=\frac{225\times 10^{6}\text{ km}}{1.5\times 10^{8}\text{ km}}\).

Step3: Simplify the expression

\[

$$\begin{align*} d&=\frac{225\times 10^{6}}{1.5\times 10^{8}}\\ &=\frac{225}{1.5}\times\frac{10^{6}}{10^{8}}\\ & = 150\times10^{- 2}\\ &=1.5 \end{align*}$$

\]

Answer:

1.5