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Question
the data below shows the number of brown bears and lions in the world as of 2010. camille set up a ratio of the number of brown bears to the number of lions. continue her work to estimate how many times as many brown bears there were than lions in 2010. because we are estimating, we can round. start by rounding each leading factor to the nearest whole number. species population brown bear 1.86×10^5 lion 2.3×10^4 brown bear / lion = (1.86×10^5)/(2.3×10^4) ≈ (□×10^5)/(□×10^4) 2 1 2 3
Step1: Round leading factors
Round 1.86 to 2 and 2.3 to 2. So the ratio becomes $\frac{2\times 10^{5}}{2\times 10^{4}}$.
Step2: Use exponent - division rule
According to the rule $\frac{a^{m}}{a^{n}}=a^{m - n}$, we have $\frac{2\times 10^{5}}{2\times 10^{4}}=\frac{2}{2}\times10^{5 - 4}$.
Step3: Calculate the result
$\frac{2}{2}=1$ and $10^{5 - 4}=10^{1}=10$. So the result is 10.
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