Free Printable Properties of Operations

Worksheets

Properties of Operations

Total questions: 25

Worksheet time: 3hrs 34mins

Name

Class

Date

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

Which property is this an example of?
9 x 1 = 9

Identity Property of Multiplication

Commutative Property of Multiplication

Associative Property of Multiplication

Multiplicative Inverse

4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

Commutative Addition

Associative Addition

Commutative Multplication

Associative Multiplication

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

Commutative Addition

Commutative Multiplication

Associative Addition

Associative Multiplication

3(w + 4) = 3w + 12 is an example of...

Inverse Property

Distributive Property

Multiplicative Inverse

Associative Property

What property is this?
-5 + 5 = 0

Inverse of +

Inverse of x

Inverse of the Universe

Zero

Name the property.
2x + 22 = 2(x + 11)

Associative Property

Commutative Property

Distributive Property

Identity Property

25 + x = x + 25

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Multiplication

Associative Property of Addition

What is the inverse operation of subtraction?

addition

subtraction

multiplication

division

10.

What is the inverse operation of addition?

addition

subtraction

multiplication

division

11.

Which property is shown below?
__________________________
-20 + 20 = 0

Additive Inverse

Identity Prop. for Add.

Density Property

Zero Product

12.

Which property is shown below?
__________________________
170 + 0 = 170

Density Property

Nothing Happened Here

Identity Property For Addition

Subtraction By Zero

13.

What does the property of Additive Inverse state?

That if you add a number and its opposite is will always equal 0

That if you add a number and its opposite it equals a negative

14.

What is the additive identity?

any number times 0 is 0

any number plus 0 is the same number

any number plus 0 equals 0

any number plus itself is equal to the number times 2

15.

What is the multiplicative identity?

any number times 0 is 0

any number times its reciprocal is 1

any number times 1 is the same number

the sum of a number and its opposite is zero

16.

What property allows for two or more numbers to be added in any order without changing the sum?

Associative Property of Addition

Commutative Property of Multiplication

Commutative Property of Addition

Distributive Property

17.

A lower case letter or symbol used to represent an unknown value is called a what?

term

variable

constant

operation

18.

Addition, subtraction, multiplication, and division are called the four basic what?

commands

equations

terms

operations

19.

In the order of operations, which operation is simplified first?

mulitplication

subtraction

exponents

division

20.

What property is represented?
4 × 8 × 12 = 12 × 4 × 8

Associative

Commutative

Inverse

Identity

21.

What property is represented?
40 + 0 = 40

Identity

Inverse

Associative

Commutative

22.

What property is represented?
4 + (x + 10) = (4 + x) + 10

Associative

Commutative

Inverse

Identity

23.

3(w + 4) = 3w + 12 is an example of...

Inverse Property

Distributive Property

Multiplicative Inverse

Associative Property

24.

Simplify this expression:
3(x + 4)

3x + 4

3x + 12

15x

3x + 4x

25.

Which property is used in the following expression?

2(5 + 7) = 10 + 14

Commutative Property of Addition

Associative Property of Multiplication

Associative Property of Addition

Distributive Property

Reset

Properties of Operations

Total questions: 25

Worksheet time: 3hrs 34mins

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