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Senior Manager  Joined: 16 Sep 2006
Posts: 266

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1
Hi all,

can someone help me discern the concepts of Modulus?

Thanx!
Manager  Joined: 18 Nov 2006
Posts: 77

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1
Modulus of a number is its +ve value.
|x| = +ve value of x; ex. |-2| =2

Modulus of a complex number x+iy = sqrt(x^2+y^2)

some properties: for any x, y (real or complex numbers)
|x|+|y| >= |x+y|
|x|-|y|<=|x-y|
|x|*|y|=|x*y|
|x|/|y| =|x/y| ( y!=0)

------------------------------

If you are referring to
this below Mod/Modulo:

Digging from my old knowledge, this is what I Know abt Modulo

12 Mod 10 =2
13 Mod 10 =3

12 Mod 7 = 5
13 Mod 7 = 6
14 Mod 7 = 0
15 Mod 7 = 1
4 Mod 7 = 4
7 Mod 7 =0
-----------------------------
hope the examples made it clear

X Mod Y = Z -> Z will always be from 0 to Y-1
It usually applies to +ve integers/numbers

You can understand this comparing with a regular CLock which is Mod 12:
what is 13:00 hrs in a regular clock ? it is 1:00
But in some clocks like Railway clock, it can be for Mod 24 instead of Mod 12... and it is 13:00 hrs.

In Boolean arithmetic/system, you have only 0 or 1 values
You could say this system is Mod 2

Our year system is Mod 365 ( except a leap year)

If you post some question on these , may be we can test these concepts and check if what I wrote makes sense for those Q.s

Originally posted by BLISSFUL on 30 Nov 2006, 07:47.
Last edited by BLISSFUL on 30 Nov 2006, 15:03, edited 2 times in total.
Senior Manager  Joined: 20 Feb 2006
Posts: 274

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Is this also referred to as changing the "base"?
Senior Manager  Joined: 16 Sep 2006
Posts: 266

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BLISSFUL wrote:
Modulus of a number is its +ve value.
|x| = +ve value of x; ex. |-2| =2

Modulus of a complex number x+iy = sqrt(x^2+y^2)

some properties: for any x, y (real or complex numbers)
|x|+|y| >= |x+y|
|x|-|y|<=|x-y|
|x|*|y|=|x*y|
|x|/|y| =|x/y| ( y!=0)

------------------------------

If you are referring to
this below Mod/Modulo:

Digging from my old knowledge, this is what I Know abt Modulo

12 Mod 10 =2
13 Mod 10 =3

12 Mod 7 = 5
13 Mod 7 = 6
14 Mod 7 = 0
15 Mod 7 = 1
4 Mod 7 = 4
7 Mod 7 =0
-----------------------------
hope the examples made it clear

X Mod Y = Z -> Z will always be from 0 to Y-1
It usually applies to +ve integers/numbers

You can understand this comparing with a regular CLock which is Mod 12:
what is 13:00 hrs in a regular clock ? it is 1:00
But in some clocks like Railway clock, it can be for Mod 24 instead of Mod 12... and it is 13:00 hrs.

In Boolean arithmetic/system, you have only 0 or 1 values
You could say this system is Mod 2

Our year system is Mod 365 ( except a leap year)

If you post some question on these , may be we can test these concepts and check if what I wrote makes sense for those Q.s

Modulus of a number is its +ve value.
|x| = +ve value of x; ex. |-2| =2

Modulus of a complex number x+iy = sqrt(x^2+y^2)

some properties: for any x, y (real or complex numbers)
|x|+|y| >= |x+y|
|x|-|y|<=|x-y|
|x|*|y|=|x*y|
|x|/|y| =|x/y| ( y!=0)

This i understood.....................but how does modulus function for values>0 or <0.............
Manager  Joined: 18 Nov 2006
Posts: 77

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J, you can check this thread on |X| stuff..

http://www.gmatclub.com/phpbb/viewtopic.php?t=12083
Non-Human User Joined: 09 Sep 2013
Posts: 15039

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_________________ Modulus Properties!!!   [#permalink] 10 Sep 2015, 02:04

# Modulus Properties!!!  