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Performing arithmetic operations on measurements with mixed units of measures requires care. Be sure to add or subtract like units.
Charlie bought three steaks for a barbecue. Their weights were $14$ ounces, $1$ pound $2$ ounces, and $1$ pound $6$ ounces. How many total pounds of steak did he buy?
We will add the weights of the steaks to find the total weight of the steaks.
Add the ounces. Then add the pounds. | |
Convert 22 ounces to pounds and ounces. | |
Add the pounds. | 2 pounds + 1 pound, 6 ounces 3 pounds, 6 ounces |
Charlie bought 3 pounds 6 ounces of steak. |
Laura gave birth to triplets weighing $3$ pounds $12$ ounces, $3$ pounds $3$ ounces, and $2$ pounds $9$ ounces. What was the total birth weight of the three babies?
9 lbs. 8 oz
Seymour cut two pieces of crown molding for his family room that were $8$ feet $7$ inches and $12$ feet $11$ inches. What was the total length of the molding?
21 ft. 6 in.
Anthony bought four planks of wood that were each $6$ feet $4$ inches long. If the four planks are placed end-to-end, what is the total length of the wood?
We will multiply the length of one plank by
$4$ to find the total length.
Multiply the inches and then the feet. | |
Convert 16 inches to feet. | 24 feet + 1 foot 4 inches |
Add the feet. | 25 feet 4 inches |
Anthony bought 25 feet 4 inches of wood. |
Henri wants to triple his spaghetti sauce recipe, which calls for $1$ pound $8$ ounces of ground turkey. How many pounds of ground turkey will he need?
4 lbs. 8 oz.
Joellen wants to double a solution of $5$ gallons $3$ quarts. How many gallons of solution will she have in all?
11 gal. 2 qts.
In the metric system, units are related by powers of $10.$ The root words of their names reflect this relation. For example, the basic unit for measuring length is a meter. One kilometer is $1000$ meters; the prefix kilo- means thousand. One centimeter is $\frac{1}{100}$ of a meter, because the prefix centi- means one one-hundredth (just like one cent is $\frac{1}{100}$ of one dollar).
The equivalencies of measurements in the metric system are shown in [link] . The common abbreviations for each measurement are given in parentheses.
Metric Measurements | ||
---|---|---|
Length | Mass | Volume/Capacity |
$1$ kilometer (km) =
$1000$ m
$1$ hectometer (hm) = $100$ m $1$ dekameter (dam) = $10$ m $1$ meter (m) = $1$ m $1$ decimeter (dm) = $0.1$ m $1$ centimeter (cm) = $0.01$ m $1$ millimeter (mm) = $0.001$ m |
$1$ kilogram (kg) =
$1000$ g
$1$ hectogram (hg) = $100$ g $1$ dekagram (dag) = $10$ g $1$ gram (g) = $1$ g $1$ decigram (dg) = $0.1$ g $1$ centigram (cg) = $0.01$ g $1$ milligram (mg) = $0.001$ g |
$1$ kiloliter (kL) =
$1000$ L
$1$ hectoliter (hL) = $100$ L $1$ dekaliter (daL) = $10$ L $1$ liter (L) = $1$ L $1$ deciliter (dL) = $0.1$ L $1$ centiliter (cL) = $0.01$ L $1$ milliliter (mL) = $0.001$ L |
$1$ meter =
$100$ centimeters
$1$ meter = $1000$ millimeters |
$1$ gram =
$100$ centigrams
$1$ gram = $1000$ milligrams |
$1$ liter =
$100$ centiliters
$1$ liter = $1000$ milliliters |
To make conversions in the metric system, we will use the same technique we did in the U.S. system. Using the identity property of multiplication, we will multiply by a conversion factor of one to get to the correct units.
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