Multiplying and Dividing Integers
We are learning to…multiply and divide integers by looking for
patterns.
Wednesday, April 19, 2023
Multiplication of IntegersEvaluate: -2 + -2 + -2 + -2 = ________
Repeated addition is the same thing as:__________________
...so -2 + -2 + -2 + -2 can be written:________
Evaluate: -4 + -4 + -4 = ______________
Repeated addition is the same thing as:__________________
. ..so -4 + -4 + -4 can be written:________
-8
Multiplication
4(-2)
-12
Multiplication
3(-4)
Multiplication of IntegersEvaluate: -7 + -7 + -7 + -7 + -7 = ______________
...Rewrite as a multiplication problem:_________
Evaluate: -12 + -12 = ______________
...Rewrite as a multiplication problem:_________
Evaluate: -1 + -1 + -1 + -1 + -1 = ______________
...Rewrite as a multiplication problem:_________
-35
5(-7)
-24
2(-12)
-5
5(-1)
Multiplication of IntegersI know that: (positive number) × (negative number) =
_______________________________________.
The ______________________________ property of multiplication allows me to multiply in any order.
So I also know that (negative number) × (positive number) =
_______________________________________.
Negative Number
Commutative
Negative Number
Evaluate the expressions below. When your entire group is finished share your solutions.
Multiplication of IntegersNegative × Positive = _______________ and Positive × Negative = _______________
If the signs in a multiplication problem are different the solution is:_______________
I know that a: positive × positive = ______________
Now follow the pattern: (+)(–) = ______________
(–)(+) = ______________
(+)(+) = ______________
So… (–)(–) = ______________
I know that a: negative × negative = _________________________
If the signs in a multiplication problem are the same the solution is:_______________
Negative Negative
Negative
Positive
Negative
Negative
Positive
Positive
Positive
Positive
7(-8) = _____
56 -56 -1 -1
5
0 000
A. 56B. -56C. -1D. -15
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-6(-7) = _____
49 -42
-13 42
0 000
A. 49B. -42C. -13D. 42
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-9(3) = _____
27 -6 -36
-27
0 000
A. 27B. -6C. -36D. -27
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Which of the following statements is NOT true?
A n
egat
ive
multi
plied ..
A p
ositiv
e m
ultiplie
d ..
A n
egat
ive
multi
plied ..
A n
egat
ive
multi
plied ..
0 000
A. A negative multiplied by a negative is a positive product.
B. A positive multiplied by a negative is a negative product.
C. A negative multiplied by a negative is a negative product.
D. A negative multiplied by a positive is a negative product.
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Division of Integersa
cb
______ ______ _______
40?
5
______ 5 40
40______
5
The Division Algorithm: If then
Example 1: Negative divided by a Positive:
or… so…
Negative divided by a positive will always result in a:______________
c b a
-8 -8
Negative
Division of Integersa
cb
______ ______ _______
63?
9
______ ( 9) 63
63______
9
The Division Algorithm: If then
Example 2: Positive divided by a Negative:
or… so…
Positive divided by a negative will always result in a:______________
c b a
-7 -7
Negative
Division of Integersa
cb
______ ______ _______
42?
7
______ ( 7) 42
42______
7
The Division Algorithm: If then
Example 2: Negative divided by a Negative:
or… so…
Negative divided by a negative will always result in a:______________
c b a
6 6
Positive
Division of Integers
Wait a minute…these look familiar!
These are the same rules as:____________________________
If the signs in a division problem are different the solution is:______________
If the signs in a division problem are the same the solution is:_____________
Negative
Multiplication
Positive
Evaluating Integer Expressions
Wednesday, April 19, 2023
Evaluate:
8 -8 7 -9
0 000
48
6
A. 8B. -8C. 7D. -9
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Evaluate:
21 -20
-22
-21
0 000
105
5
A. 21B. -20C. -22D. -21
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Evaluate:
-7 7 8 -6
0 000
77
11
A. -7B. 7C. 8D. -6
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Evaluating Integer Expression
Today you will use the Order of Operations and your knowledge about integer operations to simplify some complex expressions.
Order of Operations: Parentheses Exponents Multiplication and Division Addition and Subtraction
Evaluate:
-14
-30 20 -8
I nee
d hel
p with
this
.
0 0 000
2 4 6 1 3 5
A. -14B. -30C. 20D. -8E. I need help with
this.
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Evaluate:
0 0 000
27( 3) 2 5 8
A. 315B. -105C. 3D. -76E. I need help with
this.
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