Chapter 5.1, Problem 19E

To determine

To correct: the repeating decimal $\mathrm{5.07878...}=5.\overline{078}$

Answer to Problem 19E

The correct repeating decimal will be $\mathrm{5.07878...}=5.0\overline{78}$

Explanation of Solution

Given information: Consider the number $\mathrm{5.07878...}=5.\overline{078}$

In a repeating decimal the bar is placed over the number which repeated, but in $\mathrm{5.07878...}=5.\overline{078}$ the bar is placed over digit $078$ which is wrong because the digit $78$ only repeated so bar will placed only on digit $78$ .

Hence,

The correct repeating decimal will be $\mathrm{5.07878...}=5.0\overline{78}$