Question

What is the quantity 0.0075 meters expressed in centimeters?

Answer 1

0.0075 m = 0.75 cm

Explanation:

To convert from one unit of measurement to the other, we must use a conversion factor.

We know that `"1 m = 100 cm"` .

The conversion factor will be either `"1 m"/"100 cm"` or `"100 cm"/"1 m"`.

We want the units of "cm" in the answer, so we choose the conversion factor that has "cm" on the top (in the numerator).

Then

`0.0075 color(red)(cancel(color(black)("m"))) × "100 cm"/(1 color(red)(cancel(color(black)("m")))) = "0.75 cm"`

Notice that the units of "m" cancel out and give us the desired unit "cm" in the answer.