Chapter 8, Problem 19RQ

To determine

To find: The statement is true or false and if the statement then given the explanation.

Answer to Problem 19RQ

Thestatement is true and solution for it is obtained.

Explanation of Solution

Given:

Thegiven statement is that $\mathrm{0.99999....}=1$ .

Calculation:

Consider that $x=0.99999$ then,

  $10x=\mathrm{9.9999..}$

Subtract the equations as,

  $\begin{array}{l}10x-x=9.9999-0.99999\\ 9x=9\\ x=1\end{array}$

Thus, the statement is true and solution for it is obtained.