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 41 Page 147

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

0.0175

Practice makes perfect
Let's start by writing the given statement. 63mi/h=mi/sec Converting between hour (h) and second (sec) will involve using a conversion factor. 1h/3600sec Multiplying 63mi/h by this conversion factor will convert the units of time. 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.
63mi/h * 1h/3600sec
63mi * 1h/h * 3600sec

Cross out common units

63mi * 1h/h * 3600sec
63 mi * 1/3600 sec
63 mi/3600 sec
63/3600 * mi/sec
0.0175 mi/sec
0.0175 mi/sec
To complete the given statement, we will substitute this into the blank space. 63mi/h=0.0175mi/sec

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