Question

express the number 0.009402 in scientific notation.

a. 9.402×10^(-3)
b. 9.402×10^(-6)
c. 9402×10^6
d. 9.402×10^3

Explanation:

Step1: Recall scientific - notation form

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

Step2: Move the decimal point

For the number $0.009402$, move the decimal point 3 places to the right to get $a = 9.402$.

Step3: Determine the exponent

Since we moved the decimal point 3 places to the right for a number less than 1, $n=- 3$. So, $0.009402 = 9.402\times10^{-3}$.

Answer:

A. $9.402\times10^{-3}$