Question

the number 0.005802 expressed in scientific notation is
5802 x 10^(-6)
5.82 x 10^(-3)
5.82 x 10^(3)
5.802 x 10^(-3)
5.802 x 10^(3)

Explanation:

Step1: Recall scientific - notation form

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

Step2: Move the decimal point

For the number $0.005802$, move the decimal point three places to the right to get a number between 1 and 10. So, $a = 5.802$.

Step3: Determine the exponent

Since we moved the decimal point three places to the right, $n=- 3$. So, $0.005802 = 5.802\times10^{-3}$.

Answer:

$5.802\times10^{-3}$ (corresponding to the option "5.802 x 10^-3")