Question

answer the following. (a) a certain solution has a hydrogen ion concentration of 0.00000448 moles per liter. write this number in scientific notation. (b) a whale shark can weigh up to 4.7×10⁴ pounds. write this number in standard notation. (a) moles per l (b) pounds

Explanation:

Step1: Recall scientific - notation rules

Scientific notation is of the form $a\times10^{n}$, where $1\leq|a|\lt10$ and $n$ is an integer.

Step2: Convert 0.0000448 to scientific notation

Move the decimal point 5 places to the right to get a number between 1 and 10. So, $a = 4.48$ and $n=-5$. The number in scientific notation is $4.48\times 10^{-5}$.

Step3: Recall standard - notation rules

To convert a number from scientific notation $a\times10^{n}$ to standard notation, if $n\gt0$, move the decimal point $n$ places to the right.

Step4: Convert $4.7\times 10^{4}$ to standard notation

Since $n = 4$, move the decimal point 4 places to the right. So, $4.7\times 10^{4}=47000$.

Answer:

(a) $4.48\times 10^{-5}$
(b) $47000$