Basic Mathematics for College Students

70 Chapter 1 Whole Numbers

SolveUse vertical form to perform the multiplication:

StateIt will cost $10,810 to purchase 115 place settings.

CheckWe can estimate to check the result. If we use $100 to approximate the cost

of one place setting, then the cost of 115 place settings is about or

$11,500. Since the estimate, $11,500, and the result, $10,810, are close, the result

seems reasonable.

115 $100

115

 94

460

10 350

10,810

EXAMPLE (^2) Counting Calories A glass of nonfat milk has 63 fewer
calories than a glass of whole milk. If a glass of whole milk has 146 calories, how
many calories are there in a glass of nonfat milk?
Analyze

• A glass of nonfat milk has 63 fewercalories than a glass
  of whole milk. Given


• A glass of whole milk has 146 calories. Given


• How many calories are there in a glass of nonfat milk? Find

Form The word fewerindicates subtraction.

Caution! We must be careful when translating subtraction because order is

important. Since the 146 calories in a glass of whole milk is to be made 63

calories fewer, we reverse those numbers as we translate from English words to

math symbols.

has

146 63

SolveUse vertical form to perform the subtraction:

StateA glass of nonfat milk has 83 calories.

CheckWe can use addition to check.

Differencesubtrahendminuend. The result checks.

83

 63

146

146

 63

83

 

A glass of

nonfat milk

a glass of

whole milk.

63 fewer

calories than

A glass of

nonfat milk

Self Check 2

LOWFAT MILK A glass of lowfat

milk has 56 fewer calories than a

glass of whole milk. If a glass of

whole milk has 146 calories, how

many calories are there in a glass

of lowfat milk?

Now TryProblem 19