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Question

Which of the following options demonstrate the associative property for integers?


A

(a + b) + c = a + b + c

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B

(a + b) + c = a + (b + c)

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C

(a) + (b) + (c) = a + b + c

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D

(a + b + c) + d = a + (b + c + d)

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Solution

The correct option is D

(a + b + c) + d = a + (b + c + d)


Associative property is represented by

(a+b)+c=a+(b+c)

It means that result of the addition is always same irrespective of which two or more than two numbers you add first. For more than 3 numbers, it can be represented as:

(a + b + c) + d = a + (b + c + d)

For e.g. If a = 3; b = -1; c = 5

(a + b) + c = (3 + (-1)) + 5 = (3 - 1) + 5 = 2 + 5 = 7

a + (b + c) = 3 + (-1 + 5) = 3 + 4 = 7

The result is the same in both cases.


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