Chapter 1, Problem 32CR

To determine

To find: the expression $2\cdot \frac{1}{2}+4\left[4\cdot 2-7\right]$ .

Answer to Problem 32CR

The value of expression is $5$ .

Explanation of Solution

Given:

The expression is $2\cdot \frac{1}{2}+4\left[4\cdot 2-7\right]$ .

Calculation:

The expression is evaluated as follows:

Step1:

Use multiplication inverse in first term and distributive in second term as follows:

$\begin{array}{l}\Rightarrow 2\cdot \frac{1}{2}+4\left[4\cdot 2-7\right]\\ \Rightarrow 1+4\left[8-7\right]\\ \Rightarrow 1+4\times 8-7\times 4\\ \Rightarrow 1+32-28\end{array}$

Step2:

Use addition and subtraction as follows:

$\begin{array}{l}\Rightarrow 1+32-28\\ \Rightarrow 5\end{array}$

Thus, the value of expression is $5$ .