Chapter 2, Problem 16MS

To determine

To perform the indicated operations.

Answer to Problem 16MS

3400

Explanation of Solution

Given:

Expression: $0.34\overline{)1156}$

Calculation:

From the given expression, the indicated operation is division.

For easy way to find the answers,

Multiply the dividend and divisor by 100.

Therefore, the given expression becomes,

  $34\overline{)115600}$

Multiplying 34 by 4 it gives,

  $34\begin{array}{c}\hfill 3\\ \hfill \overline{)\begin{array}{l}115600\\ \frac{102}{13}\end{array}}\end{array}$

The remainder is 13. Bring down 6 and try to multiply again.

Multiplying 34 by 4 againgives,

  $34\begin{array}{c}\hfill 34\\ \hfill \overline{)\begin{array}{l}115600\\ \frac{102}{\begin{array}{l}136\\ \frac{136}{0}\end{array}}\end{array}}\end{array}$

The remainder is 0. As we bring down 0’s the reminder stays 0 and 2 zeros add up to the quotient.

  $34\begin{array}{c}\hfill 3400\\ \hfill \overline{)\begin{array}{l}115600\\ \frac{102}{\begin{array}{l}136\\ \frac{136}{0}\end{array}}\end{array}}\end{array}$

Conclusion:

Therefore, the solution to the given expression is 3400.