applying the identity, commutative, and associative properties of multiplication
DESCRIPTION
Applying the IDENTITY, COMMUTATIVE, and ASSOCIATIVE properties of multiplication. Georgia Performance Standard: I can apply the identity, commutative, and associative properties of multiplication and verify the results. IDENTITY Property of Multiplication. - PowerPoint PPT PresentationTRANSCRIPT
Applying the IDENTITY, COMMUTATIVE, and
ASSOCIATIVE properties of multiplication.
Georgia Performance Standard: I can apply the identity,
commutative, and associative properties of multiplication and
verify the results.
IDENTITY Property of Multiplication
• When you multiply a number by 1, the product is that number.
• EXAMPLES: 1 X 6 = 6
1 X 8 = 8
1 X 69 = 69
1 X 547 = 547
COMMUTATIVE Property of Multiplication
• You can multiply two numbers in any order. The product stays the same.
• EXAMPLE: 6 X 7 = 42
7 X 6 = 42
7 X 6 = 6 X 7
Commutative Property of Multiplication
3 X 87 = 261
87 X 3 = 261
If 3 X 87 = 261, then 87 X 3 = 261
3 X 87 = 87 X 3
ASSOCIATIVE Property of Multiplication
When you multiply three or more numbers, it doesn’t matter which tow numbers you group or multiply first. The product will stay the same.
EXAMPLE: 2 X 4 X 3 = 2 X 4 X 3 (2 X 4) X 3 2 X (4 X 3) 8 X 3 2 X 12 24 24
ASSOCIATIVE Property
(6 X 7) X 3 = 6 X (7 X 3)
42 X 3 = 6 X 21
126 = 126
Solve using the identity, commutative, or associative
property of multiplication.
7 X 1 = ?
What property of multiplication did you use to help you solve the
problem?
Solve using the identity, commutative, or associative
property of multiplication.
87 X 1 = ?
What property of multiplication did you use to help you solve
the problem?
Solve using the identity, commutative, or associative
property of multiplication.
1 X 258 = ?
What property of multiplication did you use to help you solve the
problem?
Solve using the identity, commutative, or associative
property of multiplication.
(3 X 4) X 6 = 3 X (4 X )
What property of multiplication did you use to help you solve the
problem?
Solve using the identity, commutative, or associative
property of multiplication.
If 5 X 4 = 20, then 4 X 5 =
What property of multiplication did you use to help you solve the
problem?
Solve using the identity, commutative, or associative
property of multiplication.
(63 X 2) X 12 = 63 X ( X 12)
What property of multiplication did you use to help you solve the
problem?
Model
What is the missing number?
21 X 9 = X 21
A. 1B. 9
C. 21D. 189
Guided Group Practice
What is the missing number?
54 X 6 = X 54
A. 324B. 56C. 6D. 1
Guided Individual Practice
What is the missing number?
24 X 2 = 2 X
A. 48B. 24C. 2D. 0
Independent Practice
What is the missing number?
36 X 5 = 5 X
A. 1B. 5
C. 36D. 180
Model
To multiply 7 X 4 X 5, you can multiply 4 X 5 first. What must you multiply by next?
A. 35
B. 28
C. 7
D. 4
Guided Group Practice
To multiply 6 X 2 X 10, you can multiply 2 X 10 first. What must you multiply by next?
A. 12
B. 10
C. 6
D. 2
Guided Individual Practice
To multiply 5 X 2 X 4, you can multiply 5 X 2 first. What must you multiply by next?
A. 2
B. 4
C. 5
D. 10
Independent Practice
To multiply 3 X 5 X 2, you can multiply 5 X 2 first. What must you multiply by next?
A. 2
B. 3
C. 5
D. 10
Model
Which number belongs in the to make the number sentence TRUE?
18 X = 18
A. 0 B. 1 C. 18 D. 36
Guided Group Practice
Which number belongs in the to make the number sentence TRUE?
8 X = 24
A. 2 B. 3 C. 162 D. 282
Guided Individual Practice
Which number belongs in the to make the number sentence TRUE?
4 X = 36
A. 4 B. 8 C. 9 D. 144
Independent Practice
Which number belongs in the to make the number sentence TRUE?
7 X = 49
A. 7 B. 8 C. 9 D. 343
Model
If 8 X 16 = 128, then 16 X 8 =
A. 2
B. 16
C. 24
D. 128
Guided Group Practice
If 4 X 12 = 48, then 12 X 4 =
A. 48
B. 40
C. 4
D. 1
Guided Individual Practice
If 5 X 15 = 75, then 15 X 5 =
A. 5
B. 15
C. 55
D. 75
Independent Practice
If 2 X 55 = 110, then 55 X 2 =
A. 2
B. 55
C. 110
D. 120
Model
Which of the following does NOT have the same product as 2 X 4 X 7?
A. (2 X 4) X 2
B. 2 X (4 X 7)
C. (2 X 4) X 7
D. 4 X 2 X 7
Guided Group Practice
Which of the following does NOT have the same product as 4 X 8 X 9?
A. (4 X 8) X 9
B. 4 X (8 X 9)
C. (4 X 4) X 9
D. 4 X 8 X 9
Guided Individual Practice
Which of the following does NOT have the same product as 2 X 5 X 9?
A. (2 X 5) X 9
B. 2 X (2 X 5)
C. (5 X 2) X 9
D. 9 X 5 X 2
Independent Practice
Which of the following does NOT have the same product as 6 X 2 X 7?
A. (6 X 2) X 7
B. 6 X (2 X 7)
C. (6 X 7) X 2
D. 6 X 7 X 7
Model
What is the missing number?
5 X 95 = 95 X
A. 5 B. 90 C. 95 D. 475
Guided Group Practice
What is the missing number?
4 X 56 = 56 X
A. 224 B. 56 C. 4 D. 1
Guided Independent Practice
What is the missing number?
74 X 36 = 36 X
A. 1 B. 36 C. 74 D. 2,664
Individual Practice
What is the missing number?
4 X 92 = 92 X
A. 4 B. 92 C. 368 D. 2,956
Model
• Which is equivalent to the following?
8 X 5 + 5 X 7
a. 8 X 5 + 5 X 7 b. 8 X 7 + 5 X 5 c. 7 X 3 + 5 + 7 d. 8 + 5 X 5 + 7
Guided Group Practice
• Which is equivalent to the following?
14 X 6 + 8 X 12
a. 8 + 5 + 5 + 7 b. 14 X 12 + 6 X 8 c. 14 X 6 + 12 X 8 d. 14 + 6 X 8 + 12
Guided Individual Practice
• Which is equivalent to the following?
7 X 8 + 2 X 9
a. 7 + 8 + 2 + 9 b. 7 X 2 + 8 X 9 c. 7 X 8 + 2 + 9 d. 8 X 7 + 2 X 9
Independent Practice
• Which is equivalent to the following?
45 X 5 + 78 X 3
a. 45 X 3 + 78 X 5 b. 7 X 2 + 8 X 9 c. 7 X 8 + 2 + 9 d. 8 X 7 + 2 X 9
Lets review
How can I apply the identity, commutative, and associative properties of multiplication and verify the results.