Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
7. Convert Between Systems
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Exercise 29 Page 325

To compare two quantities, their units must be the same.

The bottle containing 2 liters of water

Practice makes perfect

We want to determine which bottle is greater, a bottle containing 64 fluid ounces of water or a bottle containing 2 liters of water. Let's start by expressing 64 fluid ounces in liters. 64 fl oz≈ L We can do this by using the fact that 1 fluid ounce equals about 0.0296 liter. Let's write this relationship as a unit ratio. 0.0296 L/1fl oz To perform the conversion, we need to multiply 64 fluid ounces by the unit ratio or its reciprocal. Remember, we want to get the capacity in liters, and every unit we do not want has to be divided out.

64 fl oz≈ 64 fl oz * 0.0296 L/1fl oz
64 fl oz≈ 64 fl oz/1 * 0.0296 L/1fl oz
64 fl oz≈ 64 fl oz* 0.0296 L/1* 1fl oz
64 fl oz≈ 64 fl oz* 0.0296 L/1* 1fl oz
64 fl oz≈ 64 * 0.0296 L/1* 1
64 fl oz≈ 1.8944 L/1
64 fl oz≈ 1.8944 L

We got that 64 fluid ounces is equal to about 1.8944 liters. Finally, we can compare the capacities. rcl 1.8944L & < & 2L [0.5em] & ↓ & [0.5em] 64fl oz & < & 2L The bottle containing 2 liters of water is greater than the bottle containing 64 fluid ounces of water.

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