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Identify the property that does NOT belong with the other three.

A. x+12=12+x
B. 7h=h•7
C. 1+a=a+1
D. (2j)k=2(jk)

2 Answers

5 votes

Final answer:

Option D (2j)k=2(jk) does not belong with the other three because it represents the associative property of multiplication, while options A, B, and C depict the commutative property of addition or multiplication.

Step-by-step explanation:

The property that does NOT belong with the other three is option D. Options A, B, and C all demonstrate the commutative property of addition or multiplication, meaning that the order of the operands does not affect the result of the operation. Specifically:

  • A. x+12=12+x (Commutative property of addition)
  • B. 7h=h·7 (Commutative property of multiplication)
  • C. 1+a=a+1 (Commutative property of addition)

However, option D, (2j)k=2(jk), is an example of the associative property of multiplication, which states that the way in which factors are grouped in a multiplication problem does not change the product.

User Reaxis
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The answer in this case would be D.
User Paceholder
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