Question

lesson 2: scientific notation
converting scientific notation to standard notation
which of the following is 0.000314 converted to scientific notation?
a. 314·10^(-7)
b. 3.14·10^(-5)
c. 3.14·10^(-4)
d. 31.4·10^(-4)
check answer

Explanation:

Step1: Recall scientific - notation rule

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

Step2: Move the decimal point

For the number $0.000314$, move the decimal point 4 places to the right to get a number between 1 and 10. So, $a = 3.14$ and since we moved the decimal point 4 places to the right, $n=-4$. The scientific - notation is $3.14\times10^{-4}$.

Answer:

C. $3.14\times10^{-4}$