Name ______________________________ Date ___________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 4 Properties

TB 1-5 / OC 3-5Essential Question: How can using properties help you to represent mathematical relationships?

Vocabulary Definition Example

CommutativeProperty

AssociativeProperty

Identity Property of Zero

Identity Property of One

Property of Zero

7 x 0 = 0

32 x a = 32

Commutative Property

32 x 1 = 32

45 + s = 45

Name ______________________________ Date ___________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 4 Properties

TB 1-5 / OC 3-5Essential Question: How can using properties help you to represent mathematical relationships?

Vocabulary Definition Example

CommutativeProperty

(Ordering)

You can add or multiply numbers in

any order

18 + 9 = 9 + 18

15 x 2 = 2 x 15

AssociativeProperty

(Grouping)

When you are only adding or only

multiplying, you can group any of the

numbers together.

(17+2)+9=17+(2+9)

(12x2)x4=12x(2x4)

Identity Property of Zero

(addition)

The sum of any number and zero is equal to the number

(addition)

9 + 0 = 9

Identity Property of One

(multiplication)

The product of any number and one is

equal to the number. (multiplication)

5 x 1 = 5

Property of Zero(multiplication)

The product of any number and zero is

zero.7 x 0 = 0

Commutative Property

7 x 0 = 0property of zero

32 x a = 32

Identity Property of One

12 + 8 9 x (6 x 4)

32 x 1 = 32identity property of one

45 + s = 45Identity Property of Zero