Lesson 9: Multiplication and Division of Integers “THE RULES

Name:_________________________________
M2BL9
Accordino-Math 7
Date:_________
Period:________
Lesson 9: Multiplication and Division of Integers
“THE RULES”
Bellringer
1.
2.
What is
a c
 equivalent to?
b d
a)
ab
cd
b)
ac
bd
c)
ab
cd
d)
ac
bd
Find the solution to the situation below:
“Sam bought 3 candy bars that cost $2 each. How much money did Sam spend total on the candy bars?”
3.
Match the term with their appropriate definition:
_________: product
a. The solution to a multiplication problem
_________: sum
b. The solution to a division problem
_________: quotient
c. The solution to a subtraction problem
_________: difference
d. The solution to an addition problem
_________: equivalent
e. Being equal in value
Name:_________________________________
M2BL9
Date:_________
Accordino-Math 7
Period:________
Lesson 9: Multiplication and Division of Integers
“THE RULES”
Notes
Review:
Integer: A positive or negative whole number
Absolute Value: The distance from zero a number in on the number line
Ex)  10  10
Ex) 10  10
The Additive Inverse: A number’s opposite
Ex) 10, -10

-101, 101
When we add a number and its opposite we will always get an answer of zero. This is called the Additive
Inverse of a number!!!
“THE RULES”
1)
Adding Integers:
When adding two integers with the same sign ( ++ or --):
When adding two integers with different signs (+- or -+):
2)
Subtracting Integers:
“____________, _________________, _______________”
Then, follow the rules for ____________________________ of integers.
Integer Game Revisited
In groups of four, play the Integer Game. Use the table below to record your sums:
Card 1
Turn 1
Turn 2
Turn 3
Turn 4
Card 2
Card 3
Card 4
Sum
Name:_________________________________
M2BL9
Date:_________
Accordino-Math 7
Period:________
Record the cards from Turn 2 above in Part A, then “copy” the starred card in to each started box of Part B below:
Part A:
Sum of Part A:
Part B:
Sum of Part B:
Is there a faster way to develop the sum of Part B?
Copy down your cards from part A above into Part C but change the starred card to its opposite value:
Part
Part D:
Sum of Part D:
Is there a faster way to develop the sum of Part D?
C: Sum of Part C:
Name:_________________________________
M2BL9
Accordino-Math 7
Date:_________
Period:________
Example 2: Product of Two Negative Integers
You are dealt the hand to the right:
-2 -2 -2
-3 -2 1
a.
What is the sum (value) of your hand?
b.
You are asked to take away all the (-2) cards in your hand. What is the new sum (value) of your hand?
c.
How does your value in b compare to value sum in a?
d.
Is there a faster way to develop the sum of b?
“THE RULES”
Multiplying and Dividing Two Integers

When multiplying or dividing two integers with the same sign (++ or --): multiply or divide the
absolute values and make the sign of your solution ________________________.

When multiplying or dividing two integers with different signs (+- or -+): multiply or divide the
absolute values and make the sign of your solution ________________________.
Ex 1) Find the product of (-12) and (3).
Ex 2) Find the quotient of (-25) and (-5).
Ex 3) Find the product of (-2), (10) and (-4).
Name:_________________________________
M2BL9
Date:_________
Accordino-Math 7
Period:________
You Try it!
Evaluate each expression below using the rules for multiplying and dividing integers.
1)
 56  (8) 
5)  50  (10) 
2)
42  7 
6)
 5  10 
3)
16  (2) 
7)
 36  18 
4)
 36  (9) 
8)
210  7 
Ex 4) Sam bought 3 candy bars that cost $2 each. Use multiplication to show much money Sam spent total on candy
bars?
Ex 5) Sally rides the train each day to work. Each trip costs her $5.00 one way. How much will Sally spend if she wants to
ride the train to and from work for a full five day workweek?
You Try it!
Scott owes his mom money. He is currently paying her back $17.00 each week. How much money will he have paid her
after 3 weeks?
Name:_________________________________
M2BL9
Accordino-Math 7
Date:_________
Period:________
Homework:
1) Find each product:
2) Find each quotient:
3) Ella is charged a $6.00 fee each time she withdraws money from an ATM while overseas in Scotland. How much
money will Ella spend on fees if she withdraws money 24 times in a four month period?
4) Which of the following are equivalent to (−6) − (−3)? Check all that apply.
_________ (−3) − (−6)
_________(−6) + (+3)
_________(−6) + 3
_________(−3) + (−3) + 3
Name:_________________________________
M2BL9
Accordino-Math 7
Date:_________
Period:________
Lesson 9: Multiplication and Division of
Integers
“THE RULES”
Exit Ticket
1) Complete the rule for multiplying and dividing integers below
Multiplying and Dividing Two Integers
When multiplying or dividing two integers with the same sign (++ or --):
__________________________________________________________________________________________
__________________________________________________________________________________________
When multiplying or dividing two integers with different signs (+- or -+):
__________________________________________________________________________________________
__________________________________________________________________________________________
2)
Find the solution for the expression below:
−14 × (−2)