Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
6. Converting Measures
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Exercise 51 Page 148

When multiplying conversion factors, make sure the only remaining units are the desired units.

111.6

Practice makes perfect
Let's start by writing the given statement. 3km/min&≈ mi/h In this exercise, we need to change kilometers per minute into miles per hour. Since this will involve multiple conversion factors, let's organize them in a table.
Starting Unit Converted Unit
1 kilometer 0.62 mile
60 minutes 1 hour
To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
3 km/min * 0.62 mi/1 km * 60 min/1 h
3 km * 0.62 mi * 60 min/min * 1 km * 1 h

Cancel out common units

3 km * 0.62 mi * 60 min/min * 1 km * 1 h
3 * 0.62 mi * 60/1 * 1 h
111.6 mi/1h
111.6* mi/h
We found that 3km/min is approximately 111.6mi/h. We can now complete the given statement. 3km/min&≈ 111.6mi/h

Extra

Common Conversion Factors
The following tool can be used to help you explore some of the most commonly used conversion factors. Conversions can be made both within or between the Metric System and the Imperial System — which is also known as the U.S. Customary System.
Conversion factors between different units of measurement
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.

Dimensional Analysis and Using Units