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Properties of Multiplication Answer Key

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Commutative Property
#1 5 x 3 = 3 x a What is the value of a? 5
#2

Jahmere said because he knows 6 x 4, he also know 4 x 6. Is he correct? Explain.

Yes, he is correct. The commutative property says you can just turn the numbers around and get the same product.

#3

 7 x 2 = 2 x a

7

#4 What is another name for the Commutative Property? Order Property/Turn Around Rule
#5 Explain in writing what the commutative property is. The Commutative Property says that you can change the order of your factors and still get the same product.
Associative Property
#1 6 x 7 = (6 x 2) + (6 x a) 5
#2 Solve: (7 x 2 ) x 1 = 14
#3 What is another name for the Associative Property? Grouping Property
#4 Edwin bought gum for his 3 friends. He bought 4 packages for each and the packages contained 5 pieces of gum. How much gum did Edwin buy? 60 pieces of gum
#5 Write two equations using the associative property and the factors 3, 4, 2 (3 x4) x 2 4 x (3 x 2) (4 x 2) x 3
Distributive Property
#1 3 x 20 = (3 x 10) = (3 x a) 10
#2 Use the distributive property to solve: 4 x 8= Examples: (2 x 8) + (2 x 8) or (4 x 5) + (4 x 3)
#3 How can the distributive property help you solve "hard facts"? You can use the distributive property to break the harder facts into two smaller easier facts, then solve.
#4 Use the distributive property to find the product of 8 x 7= Show the equations used to find 56
#5 Write an explanation of what the distributive property is. You can break a larger fact into smaller facts, multiply then add .
Identity and Zero Property
#1 What is the Identity Property of Multiplication? The Identity property says that you can multiply by 1 and you are always going to get the other number.
#2 What is the Zero Property of Multiplication? The Zero Property says that the product of any number and zero is always zero.
#3 9 x 0 = a 0
#4 21 x 1 =
#5 Write equations using the zero property and identity property Examples: 7 x 0 = 0 4 x 1 = 4
Which Property Am I?
#1 13 x 1 = 13 Identity Property
#2 8 x (2 x 2) = 32 Associative Property
#3 50 x 0 = 50 Zero Property
#4 8 x 7 = 7 x 8 Commutative Property
#5 4 x 15 = (4 x 10) + (4 x 5) Distributive Property
Final Question
The Easter Bunny needs to hide 8 dozen eggs. Use the distributive property to determine how many eggs he needs to hide. 8 x 12 = (8 x 2) + (8 x 10) = 16 +80 = 96