Question

Explain the step to covert between measurements for example convert 6.5 miles to yard 11,440 yards by going into calculator and selecting those two measurements you need to calculate

Answer 1

9514 1404 393

Explanation:

Any units conversion is simply multiplication by the value 1 written in a special form. That form is a fraction with the new unit in the numerator and the old unit in the denominator. The numbers in the numerator and denominator are the numbers that make the value of the fraction be 1. That is, the numerator and denominator are equal.

Here, we know that 1 mile = 1760 yards. The new unit is yards, and the old unit is miles, so the conversion fraction we want is (1760 yards)/(1 mile). Then the conversion looks like this:

  $(6.5\text{ mi})\dfrac{1760\text{ yd}}{1\text{ mi}}=(6.5\times1760)\text{ yd}=11{,}440\text{ yd}$

You will notice that the units "mi" in numerator and denominator cancel, leaving only the units "yd".

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The two numbers you need are ...

• the number of miles (6.5)
• the number of yards per mile (1760)