Solved

Modulo

Posted on 2011-09-28
13
452 Views
Last Modified: 2012-05-12
Can any one please tell me how
7 mod 10 = 7
and
-2 mod 10 =8

Thanks.
0
Comment
Question by:mustish1
  • 5
  • 5
  • 2
  • +1
13 Comments
 
LVL 73

Expert Comment

by:sdstuber
ID: 36718497
modulo is the remainder after dividing and is always positive.

a mnemonic to help remember them is to think of it is as a circle of values

7  8   9 0 1 2 3 4 5 6 7 8 9 0  1   2  3  4
-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
 

Open in new window


and the pattern of 0-9 loops forever in both positive and negative direction
0
 

Author Comment

by:mustish1
ID: 36718515
if i divide 10 by 7 the reminder is 3 not 7
if i divide 2 by 10 the reminder is 0 not 8
0
 
LVL 27

Expert Comment

by:d-glitch
ID: 36718518
For positive integers:    7, 17, 27, 37, ...    all equal 7 mod 10.   They have remainder of 7 when divided by 10.

Another way to look at this is to start with 7,  and add 10 as many times as you like.    Since 10 = 0 mod 10

Once you see this you can also subtract 10 as many times as you like.  This can get you into negative numbers.

So  8 = 8 mod 10.     And   (8 -10) = -2 = 8 mod 10      and      (8 -10 - 10) = -12 = 8 mod 10
0
 
LVL 27

Expert Comment

by:d-glitch
ID: 36718544
>> if i divide 10 by 7 the reminder is 3 not 7

Wrong.   Divde 7 by 10 to get 0 and remainder 8

You have to understand the positive numbers before you tackle the negative.
0
 
LVL 27

Expert Comment

by:d-glitch
ID: 36718551
>> if i divide 10 by 7 the reminder is 3 not 7

Wrong.   Divde 7 by 10 to get 0 and remainder 7
0
 

Author Comment

by:mustish1
ID: 36718568
7/10 = .7
0
Is Your Active Directory as Secure as You Think?

More than 75% of all records are compromised because of the loss or theft of a privileged credential. Experts have been exploring Active Directory infrastructure to identify key threats and establish best practices for keeping data safe. Attend this month’s webinar to learn more.

 

Author Comment

by:mustish1
ID: 36718572
7/10 = .7 with reminder 0
0
 

Author Comment

by:mustish1
ID: 36718588
im sory i think i have a thick head.
0
 
LVL 27

Expert Comment

by:d-glitch
ID: 36718601
Integer division is not the same as division.

    27 divided by 10  ==>  2 with remainder 7.       2 * 10 + 7  =  27

     7 divided by 10  ==>  0 with remainder 7.        0 * 10 + 7  =   7
0
 

Author Comment

by:mustish1
ID: 36718626
ok now i understand. Can you please tell me one  more time the case of negative number.
0
 
LVL 27

Accepted Solution

by:
d-glitch earned 500 total points
ID: 36718637
8 + 2  = 10
0
 
LVL 73

Expert Comment

by:sdstuber
ID: 36718824
Isn't a split in order?
0
 
LVL 37

Expert Comment

by:TommySzalapski
ID: 36718937
modulo is basically the remainder of a division problem
7/10 is 0 with 7 left over (0*10 + 7 = 7) so 7 mod 10 is 7
16/10 is 1 with 6 left over (1*10 + 6 = 16) so 16 mod 10 is 6
-2/10 is 0 with -2 left over, but we don't want negative answers so let's fix it

-2/10 is -1 with 8 left over (-1*10 + 8 = -2) so -2 mod 10 is 8

That's how I explain the reasons.

I don't see the need for a split. http:#a36718497 basically just showed him what he already knew (the answers) not why they are the answers.
0

Featured Post

Is Your Active Directory as Secure as You Think?

More than 75% of all records are compromised because of the loss or theft of a privileged credential. Experts have been exploring Active Directory infrastructure to identify key threats and establish best practices for keeping data safe. Attend this month’s webinar to learn more.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

EE introduced a new rating method known as Level, which displays in your avatar as LVL. The new Level is a numeric ranking that is based on your Points. This article discusses the rationale behind the new method and provides the mathematical formula…
This story has been written with permission from the scammed victim, a valued client of mine – identity protected by request.
Saved searches can save you time by quickly referencing commonly searched terms on any topic. Whether you are looking for questions you can answer or hoping to learn about a specific issue, a saved search can help you get the most out of your time o…
Where to go on the main page to find the job listings. How to apply to a job that you are interested in from the list that is featured on our Careers page.

910 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question

Need Help in Real-Time?

Connect with top rated Experts

19 Experts available now in Live!

Get 1:1 Help Now