Basic Mathematics for College Students

382 Chapter 4 Decimals

is equal to times plus times

  $0.88   $6.60

1

3

3

4

The total cost

of the items

the price

per pound

the number

of pounds

of coffee

the price

per pound

the number

of pounds

of fruit

The total cost

of the items

SolveBecause 0.88 is divisible by 4 and 6.60 is divisible by 3, we can work with the

decimals and fractions in this form; no conversion is necessary.

Express 0.88 as and 6.60 as.

Multiply the numerators.

Multiply the denominators.

Do each division.

2.86 Do the addition.

0.662.20



2.64

4



6.60

3

6.60

1

0.88

 1

3

4



0.88

1



1

3



6.60

1

3

4

0.88

1

3

6.60

0.66

2.20

2.86

2.20

(^3) 6.60
 6
06
 6
00
 0
0
0.66
(^4) 2.64
 24
24
 24
0
0.8
2
8
 3
2.64
StateThe total cost of the items is $2.86.
CheckIf approximately 1 pound of fruit, priced at approximately $1 per pound,
was purchased, then about $1 was spent on fruit. If exactly of a pound of coffee,^13
priced at approximately $6 per pound, was purchased, then about , or $2, was
spent on coffee. Since the approximate cost of the items , is close to
the result, $2.86, the result seems reasonable.

$1$2$3

1

3 $6

1. a.0.5 b.0.1875 c.4.5 2. a.0.4 b.0.32 3.3.85 4. 5. 6.0.44
   7.0.292 8. a. b. c. 9. , 1.832, 10. 11.approximately 0.36
   12.0.6475 13.$6.26

209

(^1 300)
5
6
9
5
0.083 0.39
ANSWERS TO SELF CHECKS

VOCABULARY

Fill in the blanks.

1. A fraction and a decimal are said to be if
   they name the same number.


2. The equivalent of is 0.75.


3. 0.75, 0.625, and 3.5 are examples of
   decimals.


4. 0.3333... and 1.666... are examples of
   decimals.

3

4

CONCEPTS

Fill in the blanks.

5. means 7 8.


6. To write a fraction as a decimal, divide the
   of the fraction by its denominator.


7. To perform the division shown below, a decimal
   point and two additional were written to the
   right of 3.
   4 3.00

7

8

SECTION 4.5 STUDY SET