commutative, associative, and distributive … _____ property means the numbers can be swapped. 5....

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Name _____________________ Date _________________________ Tons of Free Math Worksheets at: © www.mathworksheetsland.com Topic: Commutative, Associative, and Distributive Properties – Worksheet 1 1. 6 x (22 + 9) = 6 x 22 + 6 x 9 This is an example of __________________ property. 2. 2 x (6 + 4) = 2 x 6 + 2 x 4 This is an example of _________________ property. 3. 14 + 13 = 13 + 14 This is an example of __________________ property. 4. The _____________ property means the numbers can be swapped. 5. The rule that refers to grouping is _____________ property. 6. The _____________ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it. 7. (12 x 5) x 3 = 12 x (5 x 3) This is an example of __________________ property. 8. The _____________ property multiplies the value outside the brackets with each of the terms in the brackets. 9. (6 x 9) x 2 = 6 x (9 x 2) This is an example of __________________ property. 10. In the _____________ property, the parenthesis (or brackets) can be moved.

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Page 1: Commutative, Associative, and Distributive … _____ property means the numbers can be swapped. 5. The ... and Distributive Properties ... Commutative, Associative, and Distributive

Name _____________________ Date _________________________

Tons of Free Math Worksheets at: © www.mathworksheetsland.com 

Topic: Commutative, Associative, and Distributive Properties – Worksheet 1

1.

6 x (22 + 9) = 6 x 22 + 6 x 9

This is an example of __________________ property.

2.

2 x (6 + 4) = 2 x 6 + 2 x 4

This is an example of _________________ property.

3. 14 + 13 = 13 + 14

This is an example of __________________ property.

4. The _____________ property means the numbers can be swapped.

5. The rule that refers to grouping is _____________ property.

6. The _____________ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.

7. (12 x 5) x 3 = 12 x (5 x 3) This is an example of __________________ property.

8. The _____________ property multiplies the value outside the brackets with each of the terms in the brackets.

9. (6 x 9) x 2 = 6 x (9 x 2) This is an example of __________________ property.

10. In the _____________ property, the parenthesis (or brackets) can be moved.

Page 2: Commutative, Associative, and Distributive … _____ property means the numbers can be swapped. 5. The ... and Distributive Properties ... Commutative, Associative, and Distributive

Name _____________________ Date _________________________

Tons of Free Math Worksheets at: © www.mathworksheetsland.com 

Topic: Commutative, Associative, and Distributive Properties – Worksheet 2

1. The _____________ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.

2. (4 x 7) x 6 = 4 x (7 x 6) This is an example of __________________ property.

3. 9 + 12 = 12 + 9 This is an example of __________________ property.

4. The _____________ property means the numbers can be swapped.

5. The rule that refers to grouping is _____________ property.

6. 2 x (45 + 9) = 2 x 45 + 2 x 9 This is an example of __________________ property.

7. (6 x 4) x 3 = 6 x (4 x 3) This is an example of __________________ property.

8. The _____________ property multiplies the value outside the brackets with each of the terms in the brackets.

9. 3 x (4 + 5) = 3 x 4 + 3 x 5 This is an example of _________________ property.

10. In the _____________ property, the parenthesis (or brackets) can be moved.

Page 3: Commutative, Associative, and Distributive … _____ property means the numbers can be swapped. 5. The ... and Distributive Properties ... Commutative, Associative, and Distributive

Name _____________________ Date _________________________

Tons of Free Math Worksheets at: © www.mathworksheetsland.com 

Topic: Commutative, Associative, and Distributive Properties –Worksheet 3

1. The __________property multiplies the value outside the brackets with each of the terms in the brackets.

2. (2 x 4) x 6 = 2 x (4 x 6) This is an example of ___________property.

3. 4 x (8 + 7) = 4 x 8 + 4 x 7 This is an example of __________ property.

4. In the ____________property, the parenthesis (or brackets) can be moved.

5. The rule that refers to grouping is _ _ property.

6. 3 x (6 + 8) = 3 x 6 + 3 x 8 This is an example of __________________ property.

7. (8 x 7) x 5 = 8 x (7 x 5) This is an example of _ property.

8. The _ _ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.

9. 12 + 6 = 6 + 12 This is an example of _ _ property.

10. The _ _ property means the numbers can be swapped.

Page 4: Commutative, Associative, and Distributive … _____ property means the numbers can be swapped. 5. The ... and Distributive Properties ... Commutative, Associative, and Distributive

Name _____________________ Date _________________________

Tons of Free Math Worksheets at: © www.mathworksheetsland.com 

Topic: Commutative, Associative, and Distributive Properties –Worksheet 4

1. The _ _ property multiplies the value outside the brackets with each of the terms in the brackets.

2. The rule that refers to grouping is _ _ property.

3. 7 x (4 + 9) = 7 x 4 + 7 x 9 This is an example of _ _ property.

4. In the _ _ property, the parenthesis (or brackets) can be moved.

5. (4 x 6) x 3 = 4 x (6 x 3) This is an example of _ _ property.

6. The _ _ property means the numbers can be swapped.

7. (9 x 4) x 7 = 9 x (4 x 7) This is an example of _ property.

8. The _ _ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.

9. 10 + 9 = 9 + 10 This is an example of _ _ property.

10. 7 x (5 + 8) = 7 x 5 + 7 x 8 This is an example of _ _ property.

Page 5: Commutative, Associative, and Distributive … _____ property means the numbers can be swapped. 5. The ... and Distributive Properties ... Commutative, Associative, and Distributive

Name _____________________ Date _________________________

Tons of Free Math Worksheets at: © www.mathworksheetsland.com 

Topic: Commutative, Associative, and Distributive Properties –Worksheet 5

1. (8 x 4) x 9 = 8 x (4 x 9) This is an example of _ property.

2. 8 + 7 = 7 + 8 This is an example of _ _ property.

3. 2 x (5 + 7) = 2 x 5 + 2 x 7 This is an example of _ _ property.

4. In _ _ property, the parenthesis (or brackets) can be moved.

5. 9 x (2 + 6) = 9 x 2 + 9 x 6 This is an example of _ _ property.

6. The _ _ property means the numbers can be swapped.

7. (8 x 4) x 6 = 8 x (4 x 6) This is an example of _ _ property.

8. The _ _ property says that, changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.

9. The rule that refers to grouping is _ _ property.

10. The _ _ property multiplies the value outside the brackets with each of the terms in the brackets.