Question

Evaluate the expression using the Commutative and Associative properties of numbers.

Answer 1

Given:

The expression is:

$13+23+12+7$

To find:

The value of the given expression by using Commutative and Associative properties of numbers.

Solution:

We have,

$13+23+12+7$

Applying parenthesis and brackets, we get

$=[13+(23+12)]+7$

$=[13+(12+23)]+7$             [Commutative properties of numbers]

$=[(13+12)+23]+7$             [Associative properties of numbers]

$=(25+23)+7$

Using Associative properties of numbers, we get

$=25+(23+7)$               [Associative properties of numbers]

$=25+30$

$=55$

Therefore, the value of the given expression 55.