Question

convert 2.22 x 10^(-5) mm into mm. (m = 10^(-3) and m = 10^6). place numbers into the conversion factor. choose two correct answers. select 2 correct answer(s) 1 m (2.22 x 10 - 5 mm)(------------) = m 10^(-3) mm 1 m (2.22 x 10 - 5 mm)(------------) = m 10^3 mm 10^(-3) m (2.22 x 10 - 5 mm)(------------) = m 1 mm 10^3 m

Explanation:

Step1: Recall metric - prefix conversion

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

Step2: Analyze the options

When converting $(2.22\times 10^{- 5}\ mm)$ to $m$, we multiply by the conversion factor $\frac{1\ m}{10^{3}\ mm}$.

Answer:

The correct conversion factors are:

1. $\frac{1\ m}{10^{3}\ mm}$ (corresponding to the second - option where the numerator is $1\ m$ and the denominator is $10^{3}\ mm$)
2. $\frac{10^{-3}\ m}{1\ mm}$ (since $1\ m = 10^{3}\ mm$ implies $1\ mm=10^{-3}\ m$, and the conversion factor can also be written as $\frac{10^{-3}\ m}{1\ mm}$, but this option is not among the given ones. The only correct option from the given ones is $\frac{1\ m}{10^{3}\ mm}$)

So the correct answer is: $\frac{1\ m}{10^{3}\ mm}$ (the second option in the list where the numerator is $1\ m$ and denominator is $10^{3}\ mm$)