Question

answer the following. (a) a certain solution has a hydrogen ion concentration of 0.0000914 moles per liter. write this number in scientific notation. (b) a hippopotamus can weigh up to 9.9×10³ pounds. write this number in standard notation.

Explanation:

Step1: Convert 0.0000914 to scientific - notation

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer. For 0.0000914, move the decimal point 5 places to the right to get $a = 9.14$ and $n=- 5$. So, $0.0000914 = 9.14\times10^{-5}$ moles per L.

Step2: Convert $9.9\times10^{3}$ to standard notation

In $9.9\times10^{3}$, since the exponent of 10 is 3, we move the decimal point 3 places to the right. So, $9.9\times10^{3}=9900$ pounds.

Answer:

(a) $9.14\times10^{-5}$ moles per L
(b) 9900 pounds