Basic Mathematics for College Students

d. Which route will require the fewer number of

days to install the cable?

82. PRODUCTION PLANNING The materials
    used to make a pillow are shown. Examine the
    inventory list to decide how many pillows can be
    manufactured in one production run with the
    materials in stock.


83. NOTE CARDS Ninety 3 5 cards are stacked next
    to a ruler as shown.

a. Into how many parts is 1 inch divided on the

ruler?

b. How thick is the stack of cards?

c. How thick is one 35 card?

1

INCHES

90

note

cards



(^7) –
8
yd
corduroy fabric
(^2) –
3
lb cotton filling
––^9
10
yd lace trim
Route 2
7 mi 8 mi
Route 1 12 mi
TV station
New homes

84. COMPUTER PRINTERS The illustration shows
    how the letter E is formed by a dot matrix printer.
    What is the height of one dot?


85. FORESTRY A set of forestry maps divides the
    6,284 acres of an old-growth forest into -acre
    sections. How many sections do the maps
    contain?


86. HARDWARE A hardware chain purchases
    large amounts of nails and packages them in
    -pound bags for sale. How many of these bags
    of nails can be obtained from 2,871 pounds of
    nails?


87. Explain how to divide two fractions.


88. Why do you need to know how to multiply fractions
    to be able to divide fractions?


89. Explain why 0 does not have a reciprocal.


90. What number is its own reciprocal? Explain why this
    is so.


91. Write an application problem that could be solved by
    finding


92. Explain why dividing a fraction by 2 is the same as
    finding of it. Give an example.

Fill in the blanks.

93. The symbol means.


94. The statement illustrates the
    property of multiplication.


95. is neither positive nor negative.


96. The sum of two negative numbers is.


97. Graph each of these numbers on a number line:
    –2, 0, , and the opposite of 1


98. Evaluate each expression.
    a. 35 b. (2)^5

− 5 − 4 − 3 − 2 − 1012345

0  40

9  8  8  9



REVIEW

1

2

10 ^15.

WRITING

9

16

4

5

––^3

32

in.

3.3 Dividing Fractions 241

Materials Amount in stock

Lace trim 135 yd

Corduroy fabric 154 yd

Cotton filling 98 lb

Factory Inventory List

Amount of cable

Proposal installed per day Comments

Route 1 of a mile Ground very

rocky

Route 2 of a mile Longer than

Route 1

3

5

2

5