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Regrouping the integers does not change the value of the sum or the result. This is called the associative property.

While adding three or more

**integers**, the change in grouping of the integers will not change the result.Consider \(a\) \(b\) and \(c\) are three integers then:

$a+(b+c)=(a+b)+c\phantom{\rule{0.147em}{0ex}}$

Example:

**i)**$4+\phantom{\rule{0.147em}{0ex}}(9+4)\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}(4+9)+4$

**ii)**$7+(7+2)\phantom{\rule{0.147em}{0ex}}\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}\phantom{\rule{0.147em}{0ex}}(7+7)+2$

Consider that you went to the hotel and ate \(4\) vada, \(3\) samosa and \(2\) biscuits.

Now can you find what will be the total number of snacks you ate?

We can calculate that by two methods.

First, you ate \(4\) vada \(+ 3\) samosa \(+ 2\) biscuits which gives \(= 9\) food items.

Secondly, we can also calculate that, you ate \(2\) biscuits \(+ 3\) samosa \(+ 4\) vada this gives also \(= 9\) food items.

**Therefore in both ways, the result will be the same.**

**Thus addition operation satisfies the associative property.**