Chapter 9.4, Problem 38E

To determine

An irrational number between the given rational numbers

Answer to Problem 38E

  $\mathrm{15.23671819192...}$

Explanation of Solution

Given:

The given rational numbers are:

15 and $15\frac{1}{2}$

Calculation:

Set of rational numbers = All the real numbers which can be written in terms of a fraction

Set of irrational numbers = All the real numbers which cannot be written in terms of a fraction (non-terminating, non-repeating)

Therefore, an irrational number between 15 and $15\frac{1}{2}=15.5$ will be:

  $\mathrm{15.23671819192...}$