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Worksheets

Properties of Addition and Multiplication

Total questions: 24

Worksheet time: 20mins

Name
Class
Date
1.

What does the commutative property of addition state?

a)

You can change the order of the numbers, and the answer will still be the same.

b)

You can only add numbers in a specific order.

c)

The sum of two numbers is always greater than the numbers.

d)

You cannot change the order of numbers in addition.

2.

Which of the following is an example of the commutative property of multiplication?

a)

4 × 5 = 5 × 4

b)

4 × 5 = 20

c)

4 + 5 = 9

d)

4 × 5 = 4 + 5

3.

What does the Associative Property of Addition allow you to do with numbers?

a)

Change the order of numbers

b)

Change the grouping of numbers

c)

Add zero to numbers

d)

Subtract numbers

4.

According to the Associative Property of Multiplication, which of the following is true?

a)

(a × b) × c = a × (b × c)

b)

a + b = b + a

c)

a × 1 = a

d)

a + 0 = a

5.

Which of the following is an example of the Associative Property of Addition?

a)

(8 + 4) + 2 = 8 + (4 + 2)

b)

8 + 4 = 4 + 8

c)

8 × 1 = 8

d)

8 + 0 = 8

6.

What is the Distributive Property?

a)

It states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

b)

It states that the order of addition does not change the sum.

c)

It states that the order of multiplication does not change the product.

d)

It states that subtraction is the opposite of addition.

7.

What is the factored form of the expression 5x + 15?

a)

5(x + 3)

b)

5(x + 5)

c)

5(x + 2)

d)

5(x + 4)

8.

What is the factored form of the expression 8n + 10?

a)

2(4n + 5)

b)

2(4n + 4)

c)

2(4n + 6)

d)

2(4n + 3)

9.

What is the factored form of the expression 4x - 8?

a)

4(x - 2)

b)

4(x - 3)

c)

4(x - 1)

d)

4(x - 4)

10.

What property is being shown in the equation 5(m - 2) = 5m - 10?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Identity Property

11.

What property is being shown in the equation?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Identity Property

12.

What property is being shown in the equation: (2 · 4) · 5 = 2 · (4 · 5)?

a)

Associative property

b)

Commutative property

c)

Distributive property

d)

Identity property

13.

What property is being shown?

a)

Commutative property

b)

Associative property

c)

Distributive property

d)

Identity property

14.

What property is being shown?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

None

15.

What property is being shown in the equation?

a)

Distributive Property

b)

Commutative Property

c)

Associative Property

d)

Identity Property

16.

What property is being shown in the equation: 1.6 + 2z + 0.4 = 1.6 + 0.4 + 2z?

a)

Commutative property

b)

Associative property

c)

Distributive property

d)

Identity property

17.

What property is being shown?

a)

Commutative property

b)

Associative property

c)

Distributive property

d)

Identity property

18.
a)
A
b)
B
c)
C
d)
D
19.

Write the commutative property of the picture:

a)

2 x 3 = 3 x 2

b)

2 + 3 = 3 + 2

20.
Commutative Property of Multiplication
a)
8 + 2 = 2 + 8
b)
7 x 1 = 7
c)
7 + 0 = 7
d)
7 x 6 = 6 x 7
21.
Rewrite (9 x 6) x 5 using the associative property.
a)
270
b)
9 x 30
c)
9 x (6 x 5)
d)
5 x 9 + 5 x 6
22.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

23.
7(4 + 6)
a)
(7 + 4) + (7 + 6)
b)
(7 + 4) x (7 + 6)
c)
(7 x 4) + (7 x 6)
d)
(7 x 4) x (7 x 6)
24.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x