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.

**Answer:** 28,327.04 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**.

If you would like to go back to the table of contents, click on **Table of Contents****.**

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

*
Sun Aug 10 23:20:27 MDT 1997*

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