1. Name ______________________________ Date ___________________
Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 4 Properties
TB 1-5 / OC 3-5
Essential Question: How can using properties help you to represent mathematical relationships?
Vocabulary Definition Example
Commutative
Property
Associative
Property
Identity Property of
Zero
Identity Property of
One
Property of Zero

2. 7x0=0
32 x 1 = 32
45+s = 45 32 x a = 32
Commutative Property

3. Name ______________________________ Date ___________________
Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 4 Properties
TB 1-5 / OC 3-5
Essential Question: How can using properties help you to represent mathematical relationships?
Vocabulary Definition Example
Commutative 18 + 9 = 9 + 18
You can add or
Property multiply numbers in
15 x 2 = 2 x 15
(Ordering) any order
When you are only
Associative adding or only (17+2)+9=17+(2+9)
Property multiplying, you can
(Grouping) group any of the (12x2)x4=12x(2x4)
numbers together.
The sum of any
Identity Property of
number and zero is
Zero 9+0=9
equal to the number
(addition)
(addition)
The product of any
Identity Property of
number and one is
One 5x1=5
equal to the number.
(multiplication)
(multiplication)
The product of any
Property of Zero
number and zero is 7x0=0
(multiplication)
zero.

4. 7x0=0
property of zero
32 x 1 = 32
identity property of one
45 + s = 45 32 x a = 32
Identity Property of Zero Identity Property of One
Commutative Property
12 + 8 9 x (6 x 4)