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Expert-verified Found in: Page 307 ### Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095 # a) Explain why n div 7 equals the number of complete weeks in days.b) Explain why n div 24 equals the number of complete days inn hours.

1. It is explained that n div 7 equals the number of complete weeks in n days.
2. It is explained that n div 7 equals the number of complete days in n hours.
See the step by step solution

## Step 1: Defining term.

a | b (a divide b) there is an integer c such that b = ac .

## (a) Step 2: Explaining  div equals the number of complete weeks in days.

It is given that

Total days are n

We know a week has 7 days

If we divide the total days by 7, we get the number of weeks in n days

And if we take the integer part of this number, we will get the complete weeks in days.

hence n div 7 equals the number of complete weeks in n days.

## (b) Step 3: Explaining  div equals the number of complete days in hours.

It is given that

Total hours are n

We know a day has 24 hours

If we divide the total hours by 24 , we get the number of days in n hours

And if we take the integer part of this number, we will get the complete days in n hours

Hence, n div 24 equals the number of complete days in n hours. ### Want to see more solutions like these? 