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Question
question 1 (2 points)
convert 2.22 x 10^(-5) mm into mm. (m = 10^(-3) and m = 10^6).
how do you start the problem?
(2.22 x 10^(-5))
(2.22 x 10^(-5) mm)
Step1: Recall the conversion factors
We know that $1\ mm = 10^{-3}\ m$ and $1\ Mm=10^{6}\ m$. So, $1\ mm = 10^{-3 - 6}\ Mm=10^{-9}\ Mm$.
Step2: Convert the given value
We have $2.22\times 10^{-5}\ mm$. Multiply it by the conversion - factor: $(2.22\times 10^{-5})\times(10^{-9})\ Mm$.
Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we get $2.22\times10^{-5+( - 9)}\ Mm=2.22\times 10^{-14}\ Mm$.
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$2.22\times 10^{-14}\ Mm$