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# 091 Math Prop Q&A

### Math Multiplication Properties

What is the associative property of multiplication? = When parenthesis are moved, but the order of the number stays the same
What is the commutative property of multiplication? = When the order of the numbers is changed, but the answer is the same
What is the distributive property of multiplication? = Breaking down one of two numbers being multiplied into two parts and expressing the result by addition: 14 x 5 = (10 x 5) + (4 x 5); In this case the 14 was broken into 10 and 4 because 10+4 = 14
Which are two examples of the associative property of multiplication? = (2 x 5) x 4 = 2 x (5 x 4); 75 x (3 x 12) = (75 x 3) x 12
Which are two examples of the commutative property of multiplication? = 23 x 6 = 6 x 23; 3 x 7 = 7 x 3
Which are two examples of the distributive property of multiplication? = 30 x 4 = (20 x 4) + (10 x 4); 3 x 5 = (3 x 1) + (3 x 4)
Which are NOT two examples of the distributive property of multiplication? = 30 x 4 = (20 x 4) x (10 x 4); 3 x 5 = (3 x 1) + (3 x 4)
According to Distributive Property for Multiplication: 4 x (5 + 7) = (4 x 5) + (4 x 7)
According to Distributive Property for Multiplication: 10 x (3 + 5) = (10 x 3) + (10 x 5)
According to Distributive Property for Multiplication: 3 x 6 = 3 x (3 + 3), or 3 x (6 + 0), or 3 x (1 + 5), etc.
According to Distributive Property for Multiplication: (8 + 15) x 9 = (9 x 8) + (9 x 15)
According to Distributive Property for Multiplication: 8 x 17 = 8 x (2 + 15) = (8 x 2) + (8 x 15)
According to Associative Property for Multiplication: 61 x (43 x 7) = (61 x 43) x 7
According to Associative Property for Multiplication: (3 x 4) x 62 = 3 x (4 x 62)
According to Associative Property for Multiplication: (8 x 9) x 0 = 8 x (9 x 0)
According to Associative Property for Multiplication 34 x (6 x 2) is NOT: (35 + 6) x 2
According to Associative Property for Multiplication 5 x (8 x 74) is NOT: (5 x 8) + 74
According to Distributive Property for Multiplication, which makes a better choice to answer 8 x 17? Answer 1: 8 x (8 + 9) = (8 x 8) + (8 x 9); Answer 2: 8 x (10 + 7) = (8 x 10) + (8 x 7); or Answer 3: 8 x (10 + 5 + 2) = (8 x 10) + (8 x 5) + (8 x 2) Answer 2: (8 x 10) + (8 x 7) = 80 + 56; or Answer 3: (8 x 10) + (8 x 5) + (8 x 2) = 80 + 40 + 16
To give what is OUTSIDE the parenthesis to everyone who is INSIDE the parenthesis explains which property? The Distributive Property
Use the Distributive Property of Multiplication to answer 8 x 16 Answer 1: 8 x (10 + 5 + 1) = (8 x 10) + (8 x 5) + (8 x 1) = 80 + 40 + 8 = 128; or Answer 2: 8 x (10 + 6) = (8 x 10) + (8 x 6) = 80 + 48 = 128
Created by: Mindful_Pumpkin