Chapter 1.3, Problem 22PPS

To determine

To evaluate the expression:

  $3.25+2.2+5.4+10.75$ , and to name the property used.

Answer to Problem 22PPS

  $3.25+2.2+5.4+10.75=21.6$

And the property used is associative property of addition.

Explanation of Solution

Given:

  $3.25+2.2+5.4+10.75$

Concept Used:

Associative property of multiplication:

  $a+b+c=a+\left(b+c\right)=\left(a+b\right)+c$

Calculation:

In order to evaluate the expression

  $3.25+2.2+5.4+10.75$

First simplify mixed fraction and then use inverse property of multiplication according to which

  $a+b+c=a+\left(b+c\right)=\left(a+b\right)+c$

As,

  $\begin{array}{c}3.25+2.2+5.4+10.75=\left(3.25+2.2\right)+5.4+10.75\\ =\left(5.45\right)+5.4+10.75\\ =\left(5.45+5.4\right)+10.75\\ =10.85+10.75\\ =21.6\end{array}$

Thus,

  $3.25+2.2+5.4+10.75=21.6$

And the property used is associative property of addition.