Solved Examples and Worksheet for Exploring Commutative Property of Addition

Q1Which number sentence is the same as 2 + 7?

A. 2 + 9
B. 7 + 2
C. 2 + 1
D. 7 + 3

Solutions
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Step: 1
The commutative property of addition states that "Changing the order of addends does not change the sum. It remains the same".
Step: 2
So, 2 + 7 is the same as 7 + 2.
Correct Answer is :   7 + 2
Q2Which property is illustrated in the statement 27 + 29 = 29 + 27?

A. commutative property of addition
B. associative property of addition
C. identity property of addition
D. both commutative and associative properties of addition

Solutions
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Step: 1
The commutative property of addition states that changing the order of addends does not change the sum.
Step: 2
So, 27 + 29 = 29 + 27 illustrates the commutative property of addition.
Correct Answer is :   commutative property of addition
Q3Which of the choices is the same as 50 + 4?

A. 4 + 50
B. 4 + 51
C. 4 - 50
D. 4 × 50

Solutions
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Step: 1
According to commutative property of addition, changing the order of addends does not change the sum.
Step: 2
So, 50 + 4 is the same as 4 + 50.
Correct Answer is :   4 + 50
Q4Which number sentence is the same as 2 + 22 + 11 ?
A. 11 × 22 × 2
B. 11 + 2 + 22
C. 2 × (22 + 11)
D. (2 + 22) × 11

Solutions
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Step: 1
The commutative property of addition states that "Changing the order of addends does not change the sum. It remains the same."
Step: 2
2 + 22 + 11 = 2 + 11 + 22
  [Use the commutative property of addition for the second and third terms.]
Step: 3
2 + 11 + 22 = 11 + 2 + 22
  [Use the commutative property of addition for first and second terms.]
Step: 4
So, 2 + 22 + 11 is the same as 11 + 2 + 22.
Correct Answer is :   11 + 2 + 22
Q5Identify an equivalent expression for 31 + 4 + 3, if it satisfies the commutative property.

A. 3 + 31 + 3
B. 4 + 31 + 3
C. 4 + 4
D. 3 + 3

Solutions
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Step: 1
31 + 4 + 3
  [Original expression.]
Step: 2
= 4 + 31 + 3
  [The expression satisfies commutative property.]
Step: 3
So, among the choices listed, 4 + 31 + 3 is an equivalent expression for 31 + 4 + 3.
Correct Answer is :   4 + 31 + 3
Q6Identify the missing number in the number sentence below to show the commutative property of addition.
1 + 6 = 6 + ___

A. 6
B. 7
C. 10
D. 1

Solutions
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Step: 1
: According to commutative property of addition, changing the order of addends does not change the sum.
Step: 2
1 + 6 = 6 + 1
  [Use commutative property of addition.]
Correct Answer is :   1
Q7Identify the missing number in the number sentence below to show the commutative property of addition.
4 + 8 = 8 + ___

A. 3
B. 4
C. 5
D. 0

Solutions
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Step: 1
According to commutative property of addition, changing the order of addends does not change the sum.
Step: 2
4 + 8 = 8 + 4
  [Use commutative property of addition.]
Correct Answer is :   4
Q8Choose the missing number in the number sentence below to show the commutative property of addition.
9 + 3 = 3 + ___

A. 9
B. 8
C. 3
D. 11

Solutions
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Step: 1
According to commutative property of addition, changing the order of addends does not change the sum.
Step: 2
9 + 3 = 3 + 9
  [Use commutative property of addition.]
Correct Answer is :   9
Q9Identify the missing number in the number sentence below to show the commutative property of addition.
11 + 2 = 2 + ___

A. 11
B. 19
C. 13
D. 2

Solutions
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Step: 1
According to commutative property of addition, changing the order of addends does not change the sum.
Step: 2
11 + 2 = 2 + 11
  [Use commutative property of addition.]
Correct Answer is :   11
Q10Choose the missing number in the number sentence below to show the commutative property of addition.
__ + 8 = 8 + 9

A. 9
B. 8
C. 7
D. 6

Solutions
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Step: 1
According to commutative property of addition, changing the order of addends does not change the sum.
Step: 2
9 + 8 = 8 + 9
  [Use commutative property of addition.]
Correct Answer is :   9

HighSchool Math