Metric Conversions

Tonight for HW you will be practicing converting within the metric system using proportions.
So, to solve the problem 8,000mL= _____________ kL, you begin with the known unit conversions given.
You know that 1kL = 1,000,000mL.
This will be one side of your proportion.
The other side you get from the problem.
Your proportion will look like this:

1 kL
_____

1,000,000 mL


=


x
__________

8,000 mL





Then, you cross multiply.

1 * 8,000=1,000,000x

Use your knowledge of 1-step equations and algebra.
First you need to isolate the variable using the inverse operation.
The operation in the problem is multiplication, so you will divide.

8,000/1,000,000=x
x= 0.008 kL

This answer makes sense because kL is a larger unit that mL, so the number should get smaller.



OTHER WAYS TO CONVERT:

Billy Billy's Metric Conversion Video

Metric Conversion Help- Moving Decimals Method
Dimensional Analysis- My Favorite Method