Chapter 11.2, Problem 34WE

To determine

To find: The number halfway between the given number.

Answer to Problem 34WE

The number halfway between the given number is $0.123$

Explanation of Solution

Given information:

The given numbers are:

  $\begin{array}{l}{n}_1=0.121\\ n_2=\frac{1}{8}\end{array}$

Number in the decimal expansion:

  $\begin{array}{l}{n}_2=\frac{1}{8}\\ n_2=0.125\end{array}$

Number halfway between the given number is calculated as:

  $\begin{array}{l}n=n_1+\frac{1}{2}\left(n_2-n_1\right)\\ n=0.121+\frac{1}{2}\left(0.125-0.121\right)\\ n=0.121+0.002\\ n=0.123\end{array}$

Thus, The number halfway between the given number is $0.123$ .