Question

answer the following. (a) a certain solution has a hydrogen ion concentration of 9.14×10^(-5) moles per liter. write this number in standard notation. (b) a black rhinoceros can weigh up to 6400 pounds. write this number in scientific notation.

Explanation:

Step1: Convert hydrogen - ion concentration to standard notation

The scientific notation is $9.14\times 10^{-5}$ moles per L. In standard notation, for a number $a\times 10^{n}$ where $n<0$, we move the decimal point $|n|$ places to the left. So for $9.14\times 10^{-5}$, we move the decimal point 5 places to the left, getting $0.0000914$ moles per L.

Step2: Convert 6400 pounds to scientific notation

To convert 6400 to scientific notation, we move the decimal point 3 places to the left. A number in scientific notation is of the form $a\times 10^{n}$, where $1\leq a < 10$ and $n$ is an integer. So $6400 = 6.4\times 10^{3}$ pounds.

Answer:

(a) $0.0000914$ moles per L
(b) $6.4\times 10^{3}$ pounds