How do you convert 3 miles to yards?

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Kayla Share
Jan 11, 2017

Answer:

#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:

http://converters360.com/length/miles-to-yards-conversion.htm

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"#

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