Definitions
Property Definitions
Order of Operations
Identifying Properties
Using Properties
100

Definition: An expression that contains numbers and operations

Vocab word: Numerical expression

100

What is the commutative property?

Changing the order of addends or factors does not change the sum or product

100

Evaluate:

(45+25)÷10

7

100

5+2=2+5

Commutative property

100

Complete the equation and identify the property shown

34xx"____"=0

34xx0=0

Multiplication property of zero

200

Definition: To find the value of a numerical expression

Vocab word: Evaluate

200

What is the addition property of zero?

The sum of any number and zero is that number

200

Evaluate:

6+2×7

20

200

6+0=6

Addition property of zero

200

Complete the equation and identify the property shown

12+17="____"+12

12+17=17+12

Commutative Property

300

Definition: A set of rules for evaluating numerical expressions

Vocab word: Order of Operations

300

What is the associative property?

Changing the grouping of addends or factors does not change the sum or product

300

Evaluate:

10+2×4-1

17

300

16xx1=16

Multiplication property of 1

300

Complete the equation and identify the property shown

1xx"____"=14

1xx14=14

Multiplication property of 1

400

Identify the divisor, dividend, and quotient in the following expression: 

56÷8 = 7

Divisor: 8

Dividend: 56

Quotient: 7

400

What are the multiplication properties of zero and one?

The product of any number and 0 is 0

The product of any number and 1 is that number

400

Evaluate:

(1+2)× 4÷ 2

6

400

5xx(3xx2)=(5xx3)xx2

Associative property of multiplication

400

Complete the equation and identify the property shown

3xx(10+2)=(3xx10)+(3xx"____")

3xx(10+2)=(3xx10)+(3xx2)

Distributive property

500

List the Order of Operations

1. Perform operations in grouping symbols

2. Multiply and divide from left to right

3. Add and subtract from left to right

500

What is the distributive property?

Multiplying a sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by the number and adding (or subtracting) the products

500

Evaluate:

5+2×(3-6÷6)

9

500

3×(11+7)=3xx11+3xx7

Distributive property

500

Use the distributive property to find the product

4xx35

140

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