Chapter 1.3, Problem 21PPS

To determine

To evaluate the expression:

  $4.3+2.4+3.6+9.7$ , and to name the property used.

Answer to Problem 21PPS

  $4.3+2.4+3.6+9.7=20$

And the property used is associative property of addition.

Explanation of Solution

Given:

  $4.3+2.4+3.6+9.7$

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 $4.3+2.4+3.6+9.7$

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,

  $\begin{array}{c}4.3+2.4+3.6+9.7=\left(4.3+2.4\right)+3.6+9.7\\ =\left(6.7\right)+3.6+9.7\\ =\left(6.7+3.6\right)+9.7\\ =10.3+9.7\\ =20.0\\ =20\end{array}$

Thus,

  $4.3+2.4+3.6+9.7=20$

And the property used is associative property of addition.