Download Name

Name: _________________________________________
Date: __________________
Lessons 2-4 and 2-5: Multiplying and Dividing Integers
Multiplying Integers with Different Signs
Multiplying Integers with the Same Sign
The product of two integers with different signs
is ____________________.
The product of two integers with the same sign
is ___________________.
Examples:
1)  3(5)  15
2) 10(8)  80
Examples:
1)  3(5)  15
2)  4(9)  36
Dividing Integers with Different Signs
Dividing Integers with the Same Sign
The quotient of two integers with different signs
is __________________.
The quotient of two integers with the same sign
is ________________.
Examples:
1)  15  5  3
2) 80  (8)  10
Examples:
1)  15  (5)  3
2)  36  (9)  4
Find each product or quotient.
1)  8(6)  ________
2)  48  (6)  ________
3)( 10)( 4)  ________
4)  20  7  ________
5)  200  5  ________
6)4(8)  ________
7)32  (8)  ________
8)  90  (6)  ________
9)  18(2)  ________
10)  100 / 4  ________
11)  6(9)  ________
12)  54  (9)  ________
13)  15(6)  ________
14)  18  (2)  ________
15)  6(14)  ________
16)  121  (11)  ________ 17)  150 /( 25)  ________
19)  2250 / 6  ________
20)
18)  11(11)  ________
 160
 ________
4
Multiplying More than Two Integers
** The sign of the answer is dependent on the number of _________________!
The product of an ___________ number of negative integers gives a _______________ result.
The product of an ___________ number of negative integers gives a _______________ result.
Find each product.
21)( 6)(3)( 2)  ________
22)( 10)( 2)( 12)  ________
23)  4(7)( 1)( 2)  ________
24)  8(2)(5)( 8)  ________
Simplify each of the following expressions.
25)  5 x  6  ________
26)  12a(3b)  ________
28)3 y (0)( 10 z )  ________ 29)5 p(2q)(7r )  ________
27)  5(c)( d )  ________
30)  6e(4)( 2 f )  ________
Evaluate each of the following expressions if a = -2, b = 3, and c = -4.
31)4ab  ________
32)  2bc  ________
33)9ac  ________
x
35) if x = -5
5
36)
Evaluate each expression.
34)  35  b if b = -5
250
if a = 5 and b = -5
ab
37) The Good Food n’ More grocery store loses an average of $210 a day due to breakage, shoplifting, and
food expiration.
a.
Write a multiplication sentence to represent the amount of money the store loses on average
per 7-day week.
b.
How much money does the store lose on average per 7-day week?
Mean Problems
38) The wind chill temperatures in degrees Fahrenheit for the first six days of January were -2, 8, 5, -9, -12,
and -2. Find the mean temperature for six days.
Reminder: How do you find the
mean for a set of numbers?
39) Linda has golf scores of -3, -2, 1, and 0 during 4 rounds of golf. Find the mean of her golf scores.
40) The architecture firm of Stuart and Maxwell had monthly profits of $1200, $755, -$450, $210, and -$640
over 5 months. What was the average profit for those months?
41) At noon on Friday, the temperature was 0°F. Six hours later, the temperature was -18°F. On average, what
was the temperature change per hour?
42) An airplane is approaching its destination and has begun its final descent into the airport. The plane
descends at a rate of 300 feet per minute.
a.
Write a multiplication sentence to represent the change in altitude of the plane after four
minutes.
b.
What is the change in altitude of the plane after four minutes?
43) Give an example of four integers whose product is negative.
Writing in Math
What could you say about the rules for multiplying and dividing integers? Write your response in complete
sentences.