Question

a newborn giant panda has a mass of 9.0×10⁻² kilograms. an adult male giant panda has a mass of 99 kilograms. how many times greater is the mass of the adult male giant panda than the mass of the newborn giant panda? use the drop - down menus to write the answer in scientific notation. click the arrows to choose an answer from each menu. in scientific notation, the mass of the adult male giant panda is choose... times greater.

Explanation:

Step1: Set up the division

We need to find the ratio of the mass of the adult panda to the mass of the newborn panda. Let $m_{a}$ be the mass of the adult panda and $m_{n}$ be the mass of the newborn panda. $m_{a}=99$ kg and $m_{n}=9.0\times 10^{- 2}$ kg. The ratio $r=\frac{m_{a}}{m_{n}}$.

Step2: Substitute the values

$r = \frac{99}{9.0\times 10^{-2}}$. First, rewrite 99 as $9.9\times10^{1}$. Then we have $r=\frac{9.9\times 10^{1}}{9.0\times 10^{-2}}$.

Step3: Use the quotient - rule of exponents

The quotient - rule states that $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$. Here, $\frac{9.9}{9.0}\approx1.1$ and $m - n=1-(-2)=3$. So $r = 1.1\times10^{3}$.

Answer:

$1.1\times 10^{3}$