# Units of Conversion: Square (Area) Measure - Problem 1

Basic to the understanding of unit conversion is the understanding of equivalence, the understanding of the multiplicative identity of 1, and how the two are related. For a review of these concepts, click on Review.

If you have forgotten how to manipulate fractions, visit Fractions for Adults on SOSMath for an in-depth review.

Review the following table (Webster's New World Dictionary, Second Edition, Simon and Schuster, 1982) of Standard Units of Conversion to see if you can create fractions that have a value of 1. You can click to examples following each table.

Square Measure

Problem 1: Convert 7 acres to square meters.

Solution:Look for a series of links from acres to square meters.

• From the table you can see that there are links from acres to square rods to square meters.

• According to the table, 1 acre is equivalent to 160 square rods.

> Therefore, the fraction is equivalent to 1.

• According to the table, 1 square rod is equivalent to 25.292 square meters. Therefore, the fraction is equivalent to 1.

• Rewrite 7 acres as a fraction and multiply the fraction by 1 two times.

• Convert the above 1's to equivalent fractions.

• Multiply the numerators and multiply the denominators:

• Rewrite the fraction so that the units stand alone:

• Rearrange the numerator and the denominator:

• Rewrite as several fractions where most fractions have an equivalent value of 1:

• Simplify: 28,327.04 1 1 1 square meter = 28,327.04 square meters

As you work more and more of this conversion problems, you can leave out a lot of steps and simply "cross out" similar units. In the original set-up

, you would simply cross out common units and go straight to the expression

= 28,327.04 square meters

Just be sure that you remember why you are allowed to do the cancelling.

If you would like to go to problems, click on Problems.

[Units of Conversion]