there are about 5 × 10^5 people living in wyoming. there are about 5,000,000 people living in colorado…

there are about 5 × 10^5 people living in wyoming. there are about 5,000,000 people living in colorado. which number makes the statement below true? the population of wyoming is about □ times the population of colorado.

there are about 5 × 10^5 people living in wyoming. there are about 5,000,000 people living in colorado. which number makes the statement below true? the population of wyoming is about □ times the population of colorado.

Answer

Explanation:

Step1: Rewrite the population of Colorado in scientific - notation

The population of Colorado is $5000000 = 5\times10^{6}$.

Step2: Calculate the ratio of Wyoming's population to Colorado's population

The population of Wyoming is $5\times 10^{5}$. The ratio is $\frac{5\times 10^{5}}{5\times 10^{6}}$. According to the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, we have $\frac{5\times 10^{5}}{5\times 10^{6}}=\frac{5}{5}\times10^{5 - 6}=1\times10^{-1}=0.1$.

Answer:

0.1