Question

the data below shows the number of grey wolves and jaguars in the world as of 2010. camille set up a ratio of the number of grey wolves to the number of jaguars. continue her work to estimate how many times as many grey wolves there were than jaguars in 2010. because we are estimating, we can round. start by rounding each leading factor to the nearest whole number. species population grey wolf 3.18×10^5 jaguar 6.4×10^4 grey wolf / jaguar = (3.18×10^5)/(6.4×10^4) ≈ (□×10^5)/(□×10^4) 4 7 6 3

Explanation:

Step1: Round leading factors

Round 3.18 to 3 and 6.4 to 6.
So $\frac{3.18\times 10^{5}}{6.4\times 10^{4}}\approx\frac{3\times 10^{5}}{6\times 10^{4}}$

Step2: Simplify the ratio

Using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, we have $\frac{3\times 10^{5}}{6\times 10^{4}}=\frac{3}{6}\times10^{5 - 4}$.
$\frac{3}{6}=\frac{1}{2}$ and $10^{5 - 4}=10^{1}=10$. So $\frac{1}{2}\times10 = 5$.

Answer:

5