Chapter 1.4, Problem 48SR

To determine

To calculate:To name the property shown by the statement - $\left(5+x\right)+6=5+\left(x+6\right)$

Answer to Problem 48SR

Associative property of addition is shown by the statement $\left(5+x\right)+6=5+\left(x+6\right)$

Explanation of Solution

Given information:Statement $\left(5+x\right)+6=5+\left(x+6\right)$

Calculation:

Statement is given as

  $\left(5+x\right)+6=5+\left(x+6\right)$

On solving LHS and RHS

  $LHS:\left(5+x\right)+6=11+x$

  $RHS:5+\left(x+6\right)=11+x$

Here, $LHS=RHS$

Here, when three or more numbers are added, the value of sum remains same and order of addition does not change the sum, hence numbers can be grouped in any manner.

The property of addition is referred to Associative Property.

Thus, property used in the statement is Associative Property of addition