enter the answer in the space provided. write the answer as a decimal to 2 places. the volume of the earth…
enter the answer in the space provided. write the answer as a decimal to 2 places. the volume of the earth is 1×10¹² km³. the volume of mercury is 6×10¹⁰ km³. by what number could you multiply the volume of the earth in order to get the volume of mercury?
Answer
Explanation:
Step1: Set up the division
Let the multiplier be $x$. We know that $x\times(1\times 10^{12})=6\times 10^{10}$. So $x = \frac{6\times 10^{10}}{1\times 10^{12}}$.
Step2: Use exponent - division rule
According to the rule $\frac{a^m}{a^n}=a^{m - n}$, we have $x=\frac{6}{1}\times10^{10 - 12}=6\times10^{- 2}$.
Step3: Convert to decimal
$6\times10^{-2}=0.06$.
Answer:
$0.06$