To find sum of three numbers 14, 27 and 13, we can have two ways: (a) We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or (b) We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus, (14 + 27) + 13 = 14 + (27 + 13). This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on Whole Numbers, in a general way, by using variables a, b and c.

Question

Philoid · Accepted Answer

Here,

Let us take any three numbers as a, b and c.

Now,

According to the question,

We have toexpress the associative property here

And,

We know that,

Associative property says that,

Among three numbers any two numbers added together and then the resultant added to the third one will give the same result.

Hence,

We can write this as:

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

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