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Concept A
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• equivalent expressions• properties
• Use Commutative, Associative, and Identity properties to solve problems.
Identify Properties
A. Name the property shown by the statement.
3 ● 10 ● 2 = 3 ● 2 ● 10
Answer: The order of the numbers changed. This is the Commutative Property of Multiplication.
Identify Properties
B. Name the property shown by the statement.
(2 + 5) + m = 2 + (5 + m)
Answer: The grouping of the numbers and variables changed. This is the Associative Property of Addition.
A. AB. BC. CD. D
A. Commutative Property of Multiplication
B. Associative Property of Multiplication
C. Multiplicative Identity
D. Multiplicative Property of Zero
A. Name the property shown by the statement.
(4 ● 6) ● 2 = 4 ● (6 ● 2)
A. AB. BC. CD. D
A. Commutative Property of Addition
B. Associative Property of Addition
C. Additive Identity
D. Distributive Property
B. Name the property shown by the statement.
12 + 9 = 9 + 12
Identify Properties
C. Name the property shown by the statement.
r ∙ 1 = r
Answer: The following statement is being multiplied by one, therefore the property being shown is the Multiplicative Identity.
Identify Properties
D. Name the property shown by the statement.
12 ∙ 0 = 0
Answer: The following statement is being multiplied by zero, therefore the property being shown is the Multiplicative Property of Zero.
Identify Properties
E. Name the property shown by the statement.
k + 0 = k
Answer: The following statement is being added by zero, therefore the property being shown is the Additive Identity.
A. AB. BC. CD. D
A. Additive Property
B. Multiplicative Property of Zero
C. Multiplicative Identity
D. Commutative Property of Multiplication
A. Name the property shown by the statement.
g ∙ 0 = 0
A. AB. BC. CD. D
A. Multiplicative Identity
B. Multiplicative Property of Zero
C. Additive Identity
D. Associative Property of Addition
B. Name the property shown by the statement.
9 + 0 = 9
A. AB. BC. CD. D
A. Commutative Property of Addition
B. Multiplicative Identity
C. Additive Identity
D. Associative Property of Addition
C. Name the property shown by the statement.
x + 6 = 6 + x
A. AB. BC. CD. D
A. Commutative Property of Multiplication
B. Associative Property of Multiplication
C. Additive Identity
D. Multiplicative Identity
D. Name the property shown by the statement.
1 ∙ 15 = 15
End of the Lesson
