How To Convert Anything to Anything

Start with the identity property of multiplication.

anything multiplied by 1 is equal to itself.

The rule of divisibilty

any number divided by itself is equal to 1

Let’s convert 20 meters to feet.  We need a conversion factor:

by the rule of divisiblity:

note that I put the units I want to end with (feet) on top.

we know that 

and since we can do this:

the meters cancel out:

and all we are left with is the multiplication:

or:

Discussion

As long as you have a conversion factor between the two things you are converting you can do this. You are always multiplying by 1 and canceling out the units of measure. It gets kind of mechanical.

Leave a Reply

Your email address will not be published.