# Show that if a is an integer and d is an integer greater

## Problem 18E Chapter 4.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 18E

Show that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a - d[a/d], respectively.

Step-by-Step Solution:

Step 1 :

In the theorem (2) of the division algorithm states that “let  be an integer  a positive integer then there are unique integer q and r with  such that ”.

Step 2 :

Dividing equation  by d .

Therefore    with

Step 3 of 4

Step 4 of 4

##### ISBN: 9780073383095

Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: Integer, quotient, Divided, obtained, Greater. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Show that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a - d[a/d], respectively.” is broken down into a number of easy to follow steps, and 34 words. Since the solution to 18E from 4.1 chapter was answered, more than 238 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 18E from chapter: 4.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th.

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