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ACCENT ON TEAMWORK
SECTION 1.1
SECTION 1.4
PLACE VALUE Have each student in your group bring
a calculator to class so that you can examine several different models. For each model, determine the largest number
(if there is one) that can be entered on the display of the
calculator. Then press the appropriate calculator keys to
add 1 to that number. What does the display show?
COMMON FACTORS The prime factorizations of 36
and 126 are shown below. The prime factors that are common to 36 and 126 (highlighted in color) are 2, 3, and 3.
LARGE NUMBERS Bill Gates, founder of Microsoft
Corporation, is said to be a billionaire. How many millions
make 1 billion?
Find the common prime factors for each of the following
pairs of numbers.
a. 25, 45
b. 24, 60
c. 18, 45
d. 40, 112
e. 180, 210
f. 242, 198
36 2 2 3 3
126 2 3 3 7
SECTION 1.2
READING THE PROBLEM In reading Example 9 of
Section 1.2, you will notice that it contains several facts
that are not used in the solution of the problem. Have each
person in your group write a similar problem that requires
careful reading to extract the useful information. Then
have each person share his or her problem with the other
students in the group.
SECTION 1.3
DIVISIBILITY TESTS Certain tests can help us decide
whether one whole number is divisible by another.
• A number is divisible by 2 if the last digit of the
number is 0, 2, 4, 6, or 8.
• A number is divisible by 3 if the sum of the digits
is divisible by 3.
• A number is divisible by 4 if the number formed
by the last two digits is divisible by 4.
• A number is divisible by 5 if the last digit of the
number is 0 or 5.
• A number is divisible by 6 if the last digit of the
number is 0, 2, 4, 6, or 8 and the sum of the digits
is divisible by 3.
• A number is divisible by 8 if the number formed
by the last three digits is divisible by 8.
• A number is divisible by 9 if the sum of the digits
is divisible by 9.
• A number is divisible by 10 if the last digit of the
number is 0.
• Determine whether each number is divisible by
2, 3, 4, 5, 6, 8, 9, and/or 10.
a. 660
b. 2,526
c. 11,523
d. 79,503
e. 135,405
f. 4,444,440
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SECTION 1.5
ORDER OF OPERATIONS
Consider the expression
582 32
3
Insert a set of parentheses somewhere in the expression so
that, when it is evaluated, you obtain
a. 63
b. 132
c. 21
d. 127
SECTION 1.6
SOLVING EQUATIONS Borrow a scale and some
weights from the chemistry department. Use them as part
of a class presentation to explain how the subtraction property of equality is used to solve the equation x 2 5. See
the discussion and Figure 1-16 on page 56 for some suggestions on how to do this.
SECTION 1.7
FORMING EQUATIONS Reread Example 4 in Section 1.7. This problem could have been solved by forming
an equation involving the operation of multiplication
instead of the operation of division.
The
number
of
brothers
7
times
the share
each
brother
will get
is
the total
amount of
the
inheritance.
g
343,000
For Examples 5 and 6 in Section 1.7, write another equation that could be used to solve the problem. Then solve
the equation and state the result.