Multiplication Properties

What does the Commutative Property mean?

• When you can group numbers in any order
• when you can multiply numbers in any order
• when you multiply anything by zero you get zero

Tags

CCSS.3.OA.B.5

What does the Associative Property mean?

• When you can group in any order
• When you can multiply in any order
• When you multiply anything by 1 and get the same number

Tags

CCSS.3.OA.B.5

What does the Zero Property mean?

• When you can change the grouping 
• When you multiply any number by 1 and get 1
• When you multiply any number by zero and get zero

Tags

CCSS.5.NBT.B.7

What does the Identity Property mean?

• When you can change the grouping 
• When you multiply any number by zero and get zero
• When you multiply any number by 1 and get that number

Tags

CCSS.5.NBT.B.7

Which is an example of the commutative property of multiplication?

• 4 x (1 x 2) = (4 x 1) x 2
• 2 x 2 = 4 x 1
• 2(3) = 2(4)
• 3 x 4 = 4 x 3

The commutative property of multiplication states that the order of the numbers in an equation:

• Should go from least to greatest
• Doesn't change the product
• Should go from greatest to least
• Is always important

Tags

CCSS.3.OA.B.5

Which of these illustrates the associative property of multiplication?

• 4 x (5 x 6) = (4 x 5) x 6
• 6 (9 + 1) = (6 x 9) + (6 x 1)
• 4 x (56) = (45) x 6
• 5 + 0 = 0 + 5

Rewrite (9 x 6) x 5 using the associative property.

• 270
• 9 x 30
• 9 x (6 x 5)
• 5 x 9 + 5 x 6

What is the distributive property?

• a(b + c) = ab + ac
• a (b + c) =  a + (b + c)
• abc = a + b + c
• a (b + c) = a(c + b)

How can 5 (3 + 9) be expressed using the distributive property?

• 5(3) + (5 + 9)
• 5(3) + 5(9)
• 5 + 9 = 9 + 5
• (5 + 3) x (5 + 9)