Chapter 1, Problem 40SGR

To determine

To find: the expression$\left(11-4\right)3$ .

Answer to Problem 40SGR

The value of expression is $21$ .

Explanation of Solution

Given:

The expression is $\left(11-4\right)3$ .

Calculation:

The expression is evaluated as follows:

Step1:

Use associative property as follows:

  $\begin{array}{l}\Rightarrow \left(11-4\right)3\\ \Rightarrow 3\left(11-4\right)\end{array}$

Step2:

Use distributiveproperty as follows:

  $\begin{array}{l}\Rightarrow 3\left(11-4\right)\\ \Rightarrow 3\cdot 11-3\cdot 4\end{array}$

Step3:

Use multiplication and subtraction properties as follows:

  $\begin{array}{l}\Rightarrow 3\cdot 11-3\cdot 4\\ \Rightarrow 33-12\\ \Rightarrow 21\end{array}$

Thus, the value of expression is $21$ .