question 8 (2 points) convert 333 mm into m. (m = 10^{-3}) what is the correct way to set the conversion up…

question 8 (2 points) convert 333 mm into m. (m = 10^{-3}) what is the correct way to set the conversion up using units? mm (333 mm)(------------) = m m (333 mm)(------------) = mm neither a nor b

question 8 (2 points) convert 333 mm into m. (m = 10^{-3}) what is the correct way to set the conversion up using units? mm (333 mm)(------------) = m m (333 mm)(------------) = mm neither a nor b

Answer

Explanation:

Step1: Recall conversion factor

We know that $1\ m = 1000\ mm=10^{3}\ mm$, so the conversion factor from mm to m is $\frac{1\ m}{1000\ mm}=10^{- 3}\frac{m}{mm}$.

Step2: Set up conversion

To convert 333 mm to m, we multiply 333 mm by the conversion factor $\frac{1\ m}{1000\ mm}$. So the correct set - up is $(333\ mm)\left(\frac{1\ m}{1000\ mm}\right)$. The first option is correct as we want to cancel out the mm unit and get the m unit.

Answer:

First option: $(333\ mm)\left(\frac{1\ m}{1000\ mm}\right)$