Question

How do you convert 3 miles to yards?

Answer 1

`3cancel"miles"xx(1760 "yd")/(1cancel"mile")` = `5280 "yards`

Explanation:

In order to compute the number of yards in 3 miles, we're going to use dimensional analysis (method that allows you to convert from one unit of measurement to another by cancelling out unwanted units) and the relationship below:

For questions like this I use the following technique:

`"Quantity Given" xx "Conversion Factor" = "Quantity Sought"`

`color(magenta)("Quantity Given:"` 3 miles

`color(gold)("Conversion Factor:"` 1760

`color(red)("Quantity Sought:"` yards

Let's plug in our values:

`3cancel"miles"xx(1760 "yd")/(1cancel"mile")` = `5280 "yards"`