Applying the IDENTITY, COMMUTATIVE, and ASSOCIATIVE properties of multiplication.
description
Transcript of Applying the IDENTITY, COMMUTATIVE, and ASSOCIATIVE properties of multiplication.
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.