Glencoe Math: Course 2, Volume 1
GM
Glencoe Math: Course 2, Volume 1 View details
3. Convert Unit Rates
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Exercise 12 Page 30

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

C

Practice makes perfect
We are given that a salt truck drops 39 kilograms of salt per minute. We want to find how many grams of salt the truck drops per second. Therefore, we want to change kilograms per minute into grams per second. 39 kg/1 min=g/1 sec

Let's start by organizing the relationships between the units in a table.

Starting Unit Converted Unit Unit Ratio
1 kilogram 1000 grams 1000g/1kg
1 minute 60 seconds 60sec/1min
To perform this conversion, we need to multiply the given value by each unit ratio or its reciprocal. Remember, we want to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
39kg/1min * 1000g/1kg * 1min/60sec
39kg * 1000g * 1min/1min* 1kg * 60sec
39 kg * 1000g * 1 min/1 min* 1 kg * 60sec
39 * 1000g * 1/1* 1 * 60sec
39 000g/60sec
39 000/60* g/sec
39 000/60/60/60* g/sec
650/60/60* g/sec
650/1* g/sec
650g/1sec
We got that the salt truck drops 650 grams of salt per second. This means that the correct option is C

Extra

Common Conversion Factors
Use the following tool to explore some of the most commonly used conversion factors. Conversions can be made both within or between the metric system and the imperial system, 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