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**

**Example 3:** Convert 6,000 square decameters to sections.

**Solution**: Look for a series of links from decameter to
section.

- From the table you can see that there are links from decameters to
yards to feet to miles to acres to sections.
- According to the table, 1 square decameter is equivalent to 119.6
square yards.
Therefore the fraction is equivalent to 1.

- According to the table, 1 square yard is equivalent to 9 square feet.
Therefore, the
fraction is
equivalent to 1.

- According to the table, there are 5,280 feet in one mile, and 5,280 x 5,280 = 27,878,400 square feet in one square mile.Therefore, the fraction is equivalent to 1.

- According to the table, 1 square mile is equivalent to 1 section. Therefore the fraction is equivalent to 1.

- Rewrite 6,000 square decameters as a fraction and multiply the
fraction by 1 four times.

- Convert the above four 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: 0.231663 1 1 1 1 1 section = 0.231663 section

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 equation

= 0.231663 section

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

If you would like to work some 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 20:52:57 MDT 1997*

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour