Question

What is the difference between the Commutative Property and Associative Property of addition?

Answer 1

The Commutative Property states that the order of addition does not affect the result, while the Associative Property states that the grouping of numbers being added does not affect the result.

Step-by-step explanation:

The Commutative Property states that the order of addition does not affect the result. In other words, when you add two numbers, A and B, the sum will be the same whether you add A + B or B + A. For example, 2 + 3 is the same as 3 + 2, both resulting in 5.

The Associative Property states that the grouping of numbers being added does not affect the result. This means that when you have three numbers, A, B, and C, the sum will be the same whether you add (A + B) + C or A + (B + C). For example, (2 + 3) + 4 is the same as 2 + (3 + 4), both resulting in 9.

Answer 2

• The commutative property of addition states that the order of the numbers being added does not affect the result of the addition. For example, "a + b = b + a" is the commutative property of addition.

• The associative property of addition states that when three or more numbers are being added, the grouping of the numbers being added does not affect the result. For example, "(a + b) + c = a + (b + c)" is the associative property of addition.

• In simple terms, the commutative property of addition allows for numbers to be added in any order and still get the same result, while the associative property of addition allows for numbers to be grouped in any way and still get the same result.

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