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Commutative Property 1 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=add

The commutative property of addition means order does not matter, so what is the other way of adding these numbers?

1.  

+
=
3 + 4
+

1 + 6
+
2 + 5


7

+
4 + 3
None of the above
2.  
+
=
1 + 5
+
1 + 5

+
3 + 3


6

+
4 + 2
None of the above

Complexity=2, Mode=add

The commutative property of addition means order does not matter, so what is the other way of adding these numbers?

1.   If 3 + 1 = 4, then 1 + 3 =
2.   Rewrite the expression 4 + 1 using the commutative property.

Complexity=3, Mode=add

1.   Complete the equation using the commutative property.
If 4 + 8 + 10 = 22, then 10 + 4 + 8 =
2.   Rewrite the expression 5 + 9 + 10 using the commutative property.

Complexity=4, Mode=add

1.   Which equation(s) show the commutative property?
Select the correct answer(s).
6 + 8 + 9 = 6 + 9 + 8
8 - 2 = 2 - 8
3 + 6 = 7 + 2
5 + 6 + 9 = 5 + 9 + 6
none of the above
2.   Rewrite the expression 146 + 157 using the commutative property.

Answers

Complexity=1, Mode=add

The commutative property of addition means order does not matter, so what is the other way of adding these numbers?

#ProblemCorrect AnswerYour Answer
1

 +
=
3 + 4
+

1 + 6
+
2 + 5


7

+
4 + 3
None of the above
Solution
According to the commutative property of addition, 3 + 4 = 4 + 3.
#ProblemCorrect AnswerYour Answer
2
+
=
1 + 5
+
1 + 5

+
3 + 3


6

+
4 + 2
None of the above
Solution
According to the commutative property of addition, 1 + 5 = 5 + 1, which is none of the choices.

Complexity=2, Mode=add

The commutative property of addition means order does not matter, so what is the other way of adding these numbers?

#ProblemCorrect AnswerYour Answer
1If 3 + 1 = 4, then 1 + 3 =
#ProblemCorrect AnswerYour Answer
2Rewrite the expression 4 + 1 using the commutative property.

Complexity=3, Mode=add

#ProblemCorrect AnswerYour Answer
1Complete the equation using the commutative property.
If 4 + 8 + 10 = 22, then 10 + 4 + 8 =
#ProblemCorrect AnswerYour Answer
2Rewrite the expression 5 + 9 + 10 using the commutative property.
Solution
Any of the following expressions would be correct:
10 + 5 + 9
5 + 10 + 9
9 + 5 + 10
9 + 10 + 5
10 + 9 + 5

Complexity=4, Mode=add

#ProblemCorrect AnswerYour Answer
1Which equation(s) show the commutative property?
Select the correct answer(s).
6 + 8 + 9 = 6 + 9 + 8
8 - 2 = 2 - 8
3 + 6 = 7 + 2
5 + 6 + 9 = 5 + 9 + 6
none of the above
Solution
Addition number sentences with the same addends on either side of the equation but in a different order show the commutative property.
#ProblemCorrect AnswerYour Answer
2Rewrite the expression 146 + 157 using the commutative property.
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