Question

question 8 of 25
during an experiment, ellie records a measurement of 0.00000225 m. how would she write her measurement in scientific notation?
a. 2.25×10^(-8) m
b. 2.25×10^(-6) m
c. 2.25×10^(-5) m
d. 2.25×10^(-7) m

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 $0.00000225$, move the decimal point 6 places to the right to get a number between 1 and 10. So, $a = 2.25$.

Step3: Determine the exponent

Since we moved the decimal point 6 places to the right, the exponent $n=- 6$. So the number in scientific notation is $2.25\times10^{-6}$.

Answer:

B. $2.25\times10^{-6}\text{ m}$