For example to convert 1 square meter to square centimeters.

Step 1: Write the given information on the far LHS, leaving room for one or more conversion factors.

1m2(numeratordenominator)(numeratordenominator)=

Step 2: Write the units you are trying to obtain on the RHS.

1m2(numeratordenominator)(numeratordenominator)=____________________ cm2

Step 3:You need to figure out the correct units to place in the numerator and denominator of the conversion factor(s). (Don't worry about the conversion factor numbers yet -- they will need to be looked up, if they are not known to you). The way to figure out which units should be placed in the numerator and denominator of conversion factors is to make sure that whatever unit(s) are on the LHS of the equation but not on the RHS, end up canceling on the LHS. Also, whatever unit(s) are on the RHS, but aren't yet on the LHS, need to appear in a conversion factor.

In the above example, square meters (which are in the numerator on the LHS) need to cancel on the LHS because they don't yet appear on the RHS. Therefore, square meters need to appear in a conversion factor denominator. Since the conversion between meters and centimeters is well-known, we simply apply this known conversion factor twice, as shown in the following example. (Note that, in this example, the number for the conversion factor is easily obtained from the metric prefix centi in centimeter, i.e., one one-hundredth, as in 1 cent is one-hundredth of a dollar, or 100 cents in a dollar. Similarly there are 100 centimeters in 1 meter).

1m2(100cm1m)(100cm1m) = ___________ cm2

Step 4:Solve by performing whatever multiplications or divisions are needed on the LHS.

1m2(100cm1m)(100cm1m) = 10,000cm2

This graded exercise (quiz) provides practice converting between English and metric units, and using metric prefixes (e.g., centi, milli, kilo, etc.).

This quiz should be attempted only after successfully using unit conversions to solve problems in the ebook/textbook.

Do not use conversion calculators to convert units.

You must use the conversion factors in the Table of Conversion Factors and Other Information at the end of the textbook/ebook. Answers marked incorrect due to use of other conversion factors will not receive credit.

Express answers using three significant figures. (Review Appendix B: MathReviewinthe textbook/ebook for information about significant figures).

Do not include units in your answer (numbers only).

To enter an answer in scientific notation in Canvas, use lower-case "e". For example, 6.021023 would be entered as 6.02e+23.

"+" is optional for positive exponents.Do not include spaces in your answer.

Express answers using three significant figures.

Convert 2.6 m2 to cm2.