   Chapter 9.4, Problem 21ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# When 683/1493 is written as a decimal what is the maximum length of the repeating section of the representation?

To determine

The representation of the maximum length of the repeating section when 683/1493 is written as a decimal.

Explanation

Given information:

The repeated divisions of 683/1493 are performed.

Calculation:

The repeated divisions of 683/1493 are performed.

It is known that quotient-remainder theorem states that remainder must lie between 0 and divisor1.

And it is given in question that it is a repeated division by 20483 which means it is not going to terminate.

It will give repeating value (quotient).

In short it can be said it gives non terminating repeating value.

So it is clear that it will have remainders from 0 to 14931

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