Chapter 1.3, Problem 26PPS

To determine

To evaluate the expression:

  $3.5\cdot 3\cdot 6$ , and to name the property used.

Answer to Problem 26PPS

  $3.5\cdot 3\cdot 6=63$

And the property used is associative property of addition.

Explanation of Solution

Given:

  $3.5\cdot 3\cdot 6$

Concept Used:

Associative property of multiplication:

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

Calculation:

In order to evaluate the expression $3.5\cdot 3\cdot 6$

First simplify mixed fraction and then use inverse property of multiplication according to which $a\cdot b\cdot c=a\cdot \left(b\cdot c\right)=\left(a\cdot b\right)\cdot c$

As,

  $\begin{array}{c}3.5\cdot 3\cdot 6=\left(3.5\cdot 3\right)\cdot 6\\ =\left(10.5\right)\cdot 6\\ =10.5\cdot 6\\ =63.0\\ =63\end{array}$

Thus,

  $3.5\cdot 3\cdot 6=63$

And the property used is associative property of multiplication.