# Associative Property of Addition You Certainly Need to Know About

The basic concept of associativity can be grasped by considering the fact that both addition and multiplication produce the same result, regardless of the order of the elements. Read on to know more about this fundamental mathematical concept...

Kundan Pandey

Last Updated: Jan 14, 2019

Understanding Associativity

Addition is a process that gives the same result regardless of the order or grouping we follow while considering the elements in a mathematical statement. Hence, regardless of the grouping of numbers, the net result is going to be the same in addition.

For instance, (3+5+9) + 8. Here (3+5+9) has been placed inside brackets to mark it as one 'unit'.

**(x + y) + z = x + (y + z)**.

Learning Through Examples

**1.**

*Prove that (4 + 5) + 9 = 4 + (5 + 9) by using associative property of addition*

In this problem, L.H.S. (Left Hand Side) = (4 + 5) + 9 = 18; R.H.S. (Right Hand SIde) = 4 + (5 + 9) = 18

Since, L.H.S. = R.H.S. = 18, the associative rule of addition is seen to be true.

**2.**

*Show that (-2 + 7) + 9 = -2 + (7 + 9)*

In this problem, L.H.S. = (-2 + 7) + 9 = 14 and R.H.S. = -2 + (7 + 9) = 14

Since, L.H.S. = R.H.S. = 14, the associative property of addition holds true.

(a x b) x c = a x (b x c)

(a x b) x c = a x (b x c)

For instance, (2 x 3) x 4 = 2 x (3 x 4) = 24