Chapter 1.2, Problem 52WE

To determine

To explain:

The derivation using the number $2$ five times, an expression having value $7$ .

Answer to Problem 52WE

The expression having value $7$ using the number $2$ five times is:

  $\left[\left(2\cdot 2\right)+2\right]+\left(2÷2\right)$ .

Explanation of Solution

Given information:

Use the number $2$ five times.

The expression to make the five $2\text{'}s$ , using any operation signs and groupingsymbols can be written as follows:

  $2\cdot 2+2+2÷2$

After grouping, the required value is $7$ :

  $\begin{array}{l}\left[\left(2\cdot 2\right)+2\right]+\left(2÷2\right)\\ \left[\left(4\right)+2\right]+\left(1\right)\\ \left[6\right]+\left(1\right)\\ 7\end{array}$

From the above calculation, the value is similar to the required value of the equation as $7$ .

Therefore, the expression having value $7$ using the number $2$ five times is:

  $\left[\left(2\cdot 2\right)+2\right]+\left(2÷2\right)$