Commutative
What is the commutative property of multiplication?
The order in which you multiply numbers does not change the product.
What is the associative property of multiplication?
The way in which numbers are grouped does not change the product.
What is the distributive property?
If (3 x 7 = 21), what is (7 x 3)?
21
Calculate (2 x 5) x 3.
30
Use the distributive property to solve 5 x (3 + 2)
5 x 3 + 5 x 2
= 15 + 10
= 25
Give an example of two numbers that demonstrate the commutative property.
8 x 2 = 16 and 2 x 8 = 16
Using the associative property, how can you calculate (4 x (2 x 3) ?
First (2 x 3 = 6), then (4 x 6 = 24).
Calculate 7 x (4 + 1) using the distributive property.
35
True or False: The commutative property applies to addition but not to multiplication.
False
True or False: The associative property works for both multiplication and addition.
True
If you know 6 x 4 = 24 and 6 x 2 = 12, what is 6 x 6 using the distributive property?
36
If you know that (9 x 4 = 36), what is (4 x 9)?
36
Give an example of three numbers that demonstrate the associative property.
(1 x 2) x 3 = 1 x (2 x 3) = 6
True or False: The distributive property can only be used with multiplication and addition.
True