Units Raised to a Power

Build the solution map beginning with km and ending at laps. Focus on the units. [Pg.31]

Follow the solution map to solve the problem. Begin with 10.0 km and multiply by the appropriate conversion factor, canceling units to arrive at m. Then, use the second conversion factor to arrive at laps. Round the intermediate answer (in blue) to three significant figures because it is limited by the three significant figures in the given quantity, 10.0 km. [Pg.31]

Check your answer. Are the units correct Does the answer [Pg.31]

The units of the answer are correct, and the value of the answer makes sense If a lap is 255 m, there are about 4 laps to each km (1000 m), so it seems reasonable that you would have to run about 40 laps to cover 10 km. [Pg.31]

A running track measures 1056 ft per lap. To run 15.0 km, how many laps should you run (1 mi = 5280ft) SKILLBUILDER PLUS [Pg.31]

If an expression is given for units raised to a power, such as square millimeters, the power number refers to the entire unit and not just to the last... [Pg.789]

Or, in cases that involve units raised to a power,... [Pg.10]

Measuring Global 2.4 Significant Figures in 2.8 Units Raised to a Power 31... [Pg.11]

When converting quantities vnth units raised to a power, such as cubic centimeters (cm ), the conversion factor must also be raised to that power. For example, suppose we want to convert the size of a motoreycle engine reported as 1255 cm to cubic inches. We know that... [Pg.31]

EXAMPLE 2.12 Converting Quantities Involving Units Raised to a Power A circle has an area of 2659 cm. What is its area in square meters ... [Pg.32]

EXAMPLE 2.13 Solving Multistep Conversion Problems Involving Units Raised to a Power... [Pg.33]

When building conversion factors for units raised to a power, remember to raise both the number and the unit to the power. For example, to convert from in to cm, we construct the conversion factor as follows ... [Pg.30]

Sometimes the required conversion has units raised to a power. To obtain the desired unit, you must remember to raise both the unit and the number to the desired power. Example 1.5 illustrates this point... [Pg.14]

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