PSDA - Solving Problems Using Percentages and Measurements Lesson
Solving Problems Using Percentages and Measurements
Percentages
Percentages are fractions which may easily be used as proportions and converted into decimal form with a denominator of 100.
The percentage 25% = 25/100= .25, meaning that if there were 100 parts, 25 of them would be 1/4 or 25% of the whole. The whole in percentages is 1.00.
Percentages
Review the following statements. Consider how each statement relates to your own personal choices:
Watch the video for a few more examples of percentage problems. Also, check how wording could cause an error in a solution.
Measurements
In the chart below is a list of measurement conversions that are good to know. Many times you will need to convert one unit to another equivalent unit in order to solve the problem with the appropriate units. All of these and many more conversions can be used as proportions to convert to similar units.
| Distance (U.S.) | Distance (Metric) |
|
12 inches (in) = 1 foot (ft) |
10 millimeters (mm) = 1 centimeter (cm) |
|
3 feet (ft) = 1 yard (yd) |
100 centimeters (cm) = 1 meter (m) |
|
5280 feet (ft) = 1 mile (mi) |
1000 meters (m) = 1 kilometer (km) |
| Liquid Measure (U.S.) | Liquid Measure (Metric) |
|
8 oz. = 1 cup (c) |
10 milliliters (ml) = 1centiliter (cl) |
|
2 cups = 1 pint (pt) |
100 centiliters (cl) = 1 liter (l) |
|
2 pints = 1 quart (qt) |
1000 liters (l) = 1 kiloliter (kl) |
|
4 quarts = 1 gallon (gal) |
|
| Money (U.S) | Time |
|
5 pennies = 1 nickel |
60 seconds (sec) = 1 minute (min) |
|
5 nickels = 1 quarter |
60 minutes (min) = 1 hour (hr) |
|
2 nickels = 1 dime |
|
|
4 quarters = $1 |
|
|
10 dimes = $1 |
The following prefixes mean the indicated value of unit
| Prefix | Meaning |
|
deci |
10 (ten) |
|
centi |
100 (one hundred) |
|
kilo |
1000 (one thousand) |
|
milli |
1000 (one thousand) |
Watch the video below to see an example of applying measurement conversions in a rate problem.
Solving a problem that involves measurements requires appropriate like terms to be used and units provided in the answers. Without the units, the problem is not solved, a number has been provided.
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