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(2+3)+4=2+(3+4)(2+3)+4=2+(3+4)is an example of the ____________________ property of numbers.commutativedistributiveassociative

Question

(2+3)+4=2+(3+4)

This is an example of the ____________________ property of numbers.

  • commutative
  • distributive
  • associative
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Solution

The expression given demonstrates the Associative Property of numbers. This property indicates that the way in which numbers are grouped in addition or multiplication does not change their sum or product. In simpler terms:

  1. In the expression (2+3)+4=2+(3+4) (2 + 3) + 4 = 2 + (3 + 4) , we are rearranging the grouping of the numbers but not their order.
  2. The sum remains the same regardless of how the numbers are grouped.

This is distinct from the Commutative Property, which states that the order of the numbers does not affect their sum (e.g., a+b=b+a a + b = b + a ), and the Distributive Property, which defines how multiplication interacts with addition (e.g., a(b+c)=ab+ac a(b + c) = ab + ac ).

Thus, the correct answer is: Associative Property.

This problem has been solved

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