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Page #   Prob. #                 Problem                    Solution
311-313     20    A tangram is a geometric puzzle
made from seven pieces that form a
square. Trace the pieces, cut them
out, and answer the following
questions.
a. If the area of the entire square
equals 1 unit, label each piece with its
rational number area.
b. If the area of piece (a) equals 1
unit, label each piece with its rational
number area.

22      Explain why the definition of a
fraction restricts the denominator to
being a nonzero integer.
26      a. Separate the fractions 2/6, 2/5,
6/13, 1/25, 7/8, and 9/29 into two
categories: those that can be written
as a terminating decimal and those
that cannot. Write an explanation of
how you made your decisions.
b. Form a conjecture about which
fractions can be expressed as
terminating decimals.
c. Test your conjecture on the
following fractions: 6/12, 7/15,
28/140, and 0/7.
d. Use the ideas of equivalent
fractions and common multiples to
verify your conjecture.

321-324     2c      Make an illustration depicting the
number line to find each sum or
difference.
1 2/3 + 1 5/6
12a     Without finding the exact answer,
select which of the following
numbers is the best estimate of each
sum or difference and justify your
choices: -2/3, 0, 2/3.
a. 1/9 + 2/5 – 1/3 – 3/4
16   For the following equations, write a
word problem, draw a picture, and
find the solution to the equation:
a. 5/12 – 1/3 = ?
b. 1/2 – 2/3 = ?
38   With a partner, discuss the possible
advantages and disadvantages of
using least common denominators
when adding and subtracting
fractions. Write two paragraphs
summarizing the two parts of your
discussion.
340-343   4c   Find the following product:
c. (1 1/3 + 3 1/2)(3/4)
12   Identify which of the following
situations can be represented by 4
3/4, and explain your reasoning:
a. Sue had 3/4 of a room to paint in 4
hours. How much of the room must
she paint each hour to finish on time?
b. Kendra has 4 yards of electrical
wiring to use in setting up her science
fair experiment. She needs to cut it
into lengths of 3/4 yard. How many
pieces will she be able to make from
the 4 yards?
c. A rotating video camera in the
parking garage goes through 4
complete rotations in 3/4 hour. How
many rotations will it make in 1
hour?
d. In a local farmers’ market, 3/4 of
the profits are cycled back into the
local farming community. If you
spend \$4 there, how much of your
money goes to local farmers?
14   Use the common denominator
method to find the quotient 3/5
2/3.
16   Use the missing factor method to find
the quotient 3/5     2/3.
34   The Rental Depreciation Problem.
The owner of a rental house can
depreciate its value over a period of
27 1/2 years, meaning that the value
of the house declines at an even rate
over that period of time until the
value is \$0.
a. By what fraction does the value of
the house depreciate the first year?
b. If the house is judged to be worth
\$85,000, what is the value of the first
year’s depreciation?
351-354   2b   Using a number line (or metric ruler),
show how to find each sum or
difference.
b. 1.3 + 1.8
4    Using base-ten blocks, show the
following quotients:
a. 0.9     3 (Hint: Use a sharing
model by separating 0.9 into three
equal groups.)
b. 3     0.6 (Hint: Use a measurement
model by finding how many groups
of 0.6 there are in 3.)
22   The Olympic Race. At the 1988
Summer Olympics in Seoul, South
Korea, Florence Griffith-Joyner ran
the 100-meter dash in 10.49 seconds
(a world record). What was her speed
in miles per hour? (1 meter is
approximately 39.37 inches.)
363-365   2b   Use a linear model (for example, a
number line, a ruler) to compare the
pairs of rational numbers that follow.
Identify which one is greater in each
pair and use the model to justify your
answer.
b. 1/4, 1/6

4d   Use common denominators to
compare the pairs of rational
numbers. In each of the following,
identify which one is greater and
explain how you know.
d. 5/7, 5/8
20   Is the product of two irrational
numbers always an irrational
number? Justify your answer.
368-369   2    State the Fundamental Law of
Fractions and give an example of it.
4    Write the following rational numbers
in scientific notation:
a. 0.000005
b. 30 million
c. 0.036754
d. 24,000,059
6    Find each sum or difference.
a. 15.6 + 8.305 + 0.4
b. 14/3 – 16/5
c. 20.096 - 42.3
d. -3 1/8 + 4 5/6
8    Find each quotient.
a. 3/4     -12
b. 5/4     2 2/3
c. 18     4.6
d. 3.06     0.22
10   Order the following sets of rational
numbers from least to greatest:
a. 2 1/2; 2.333…; 2.51; 6000/29
b. 3.33; 577/154; 3.121212…; 3 5/8
c. 22; 32/11; 477/154; 2.7171…
12   Describe the connections between
rational numbers and division.
14   Use the ideas of additive and
multiplicative inverses of rational
numbers to solve the following
equations:
a. -5x + 13 = -12
b. 1/3x - 7 = 25
c. 3x - 4 = x + 12
d. x + 11/9 = 2/3

16   The Sewing Supplies Problem. The
seamstress purchased 2.4 meters of
\$1.90-per-meter fabric, 5.4 meters at
\$3.90 per meter, 7.5 meters at \$4.95
per meter, 25.20 meters of cording at
\$0.25 per meter, and two spools of
thread at \$0.70 per spool.
a. How much did she spend on this
purchase?
b. If she charges \$10.50 per hour for
sewing, how many hours must she
work to pay for these supplies?
18   Let A be the set containing all
rational numbers that are less than 5.
Is there a rational number q in set A
such that all other numbers in set A
are less than q? Why or why not?

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