Question

a student sets up the following equation to convert a measurement. (the ? stands for a number the student is going to calculate.) fill in the missing part of this equation. $(-1.1\times10^{3}\text{ pa}cdot\text{mm}^{2})cdotsquare=?\text{ pa}cdot\text{m}^{2}$

Explanation:

Step1: Recall the conversion between mm² and m²

We know that $1\ m = 1000\ mm$, so $1\ m^{2}=(1000\ mm)^{2}=10^{6}\ mm^{2}$, and $1\ mm^{2}=10^{- 6}\ m^{2}$.

Step2: Multiply the given quantity by the conversion factor

We have $(-1.1\times10^{3}\ Pa\cdot mm^{2})$. To convert $mm^{2}$ to $m^{2}$, we multiply by $10^{-6}$. So $(-1.1\times10^{3}\ Pa\cdot mm^{2})\times(10^{-6})=-1.1\times10^{-3}\ Pa\cdot m^{2}$.

Answer:

$10^{-6}$