Question

Name the property used in the following: $\left(\frac{1}{3}\right)+\left[\left(\frac{4}{9}\right)+\left(-\frac{4}{3}\right)\right]=\left[\left(\frac{1}{3}\right)+\left(\frac{4}{9}\right)\right]+\left(-\frac{4}{3}\right)$

Answer 1

Associative property of addition.

It says that the grouping of numbers while performing an operation does not change the result of that operation when operated on three or more numbers.

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

$\left(\frac{1}{3}\right)+\left[\left(\frac{4}{9}\right)+\left(-\frac{4}{3}\right)\right]=\left[\left(\frac{1}{3}\right)+\left(\frac{4}{9}\right)\right]+\left(-\frac{4}{3}\right)$

It is observed that the given expression follows the rule of associative property of addition.

Hence, the associative property of addition is used in the given expression.