Name the property used in the following:
$[\frac{2}{3}+(\frac{-4}{5})]+\frac{1}{6}=\frac{2}{3}+[(\frac{-4}{5})+\frac{1}{6}]$

Given :

The given expression is $[\frac{2}{3}+(\frac{-4}{5})]+\frac{1}{6}=\frac{2}{3}+[(\frac{-4}{5})+\frac{1}{6}]$

To do :

We have to name the property used in the given expression.

Solution :

Associative property of addition :

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

Here, $[\frac{2}{3}+(\frac{-4}{5})]+\frac{1}{6}=\frac{2}{3}+[(\frac{-4}{5})+\frac{1}{6}]$

Changing the grouping of addends does not change the sum.

Therefore, the property used in the given expression is Associative property of addition.

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Updated on: 10-Oct-2022

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