Chapter 8, Problem 1PSP

To determine

To write:

Three expressions such that each expression is equal to 1 and contains four 4’s (but not other numbers).

Answer to Problem 1PSP

Our required expression would be $\frac{4+4-4}{4},$

  $\frac{4}{4+4-4},$ and $\frac{4}{4}+4-4$ .

Explanation of Solution

Given:

An example: $\frac{4+4}{4+4}$

Calculation:

Let us write three expressions that contains four 4’s and are equal to 1.

  $\frac{4+4-4}{4}=1$

  $\frac{4}{4+4-4}=1$

  $\frac{4}{4}+4-4=1$

Therefore, our required expression would be $\frac{4+4-4}{4},$

  $\frac{4}{4+4-4},$ and $\frac{4}{4}+4-4$ .