which answer shows 0.00897 written in scientific notation?\n0.897×10⁻²\n8.97×10⁻³\n8.97×10⁻²\n8.97×10³

which answer shows 0.00897 written in scientific notation?\n0.897×10⁻²\n8.97×10⁻³\n8.97×10⁻²\n8.97×10³

which answer shows 0.00897 written in scientific notation?\n0.897×10⁻²\n8.97×10⁻³\n8.97×10⁻²\n8.97×10³

Answer

Explanation:

Step1: Recall scientific - notation form

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

Step2: Move the decimal point

To convert $0.00897$ to scientific - notation, move the decimal point three places to the right to get a number between 1 and 10. So, $a = 8.97$.

Step3: Determine the exponent

Since we moved the decimal point three places to the right, the exponent $n=-3$. So, $0.00897 = 8.97\times10^{-3}$.

Answer:

B. $8.97\times10^{-3}$