Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Solving Simple Equations
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Exercise 65 Page 10

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

298.26

Practice makes perfect
Let's start by copying the given statement. 8 km/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 0.62137 miles
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.
8 km/min*0.62137 mi/1 km*60 min/1 h
8 km* 0.62137 mi* 60 min/min * 1 km * 1 h
8 km* 0.62137 mi* 60 min/min * 1 km * 1 h
8* 0.62137 mi* 60/1* 1 h
298.2578 mi/h
298.26 mi/h
Therefore, the value missing from the given statement is 298.26.