Integer Divide by Zero

Integer is the number which is greater than the zero or less than the zero and a number greater than zero is a positive and less than the zero is called negative. Zero has no sign like positive and negative sign. In number line two integers are same distance from the zero in opposite directions are the opposites.In this section we are going to see about any integer which is divided by zero and the integer divided the integers.


Division Property of Integers:

For integers we have some properties, let assume a, b be the two integers for that positive and negative integers. But with the zero it has some special property any integer which divided by the zero we get infinity and the zero divided by the any integer we get zero.


Let a & b be the two integers, where  `a/b` is not always an integer.

Examples: `(-4)/5` ; ` 5/ (-3)`  are not integers ;  `1/2 ` is an integer.

For any integer 'a' is not equal to zero.  `a/a ` = 1; and  `a/1` = a

Examples:
`5/5` = 1

`5/1` = 5

` 1/5`  is not  an integer

For any integer 'a' is not equal to zero.
`a/(-1)` = -a; ` a/(-a)` = -1.

For every non zero integer a; `0/a` = 0.

Examples:

` 3/ (-1)` = -3

`3/ (-3)` = -1

`1/ (-3)` is not an integer

Algebra is widely used in day to day activities watch out for my forthcoming posts on Integers and Absolute Value and greatest integer function. I am sure they will be helpful.

Problems with Integer Division:

Problem 1:
Divide +95 by 5.

Solution:
=    ` 95/5`

=19 is an integer


Problem 2:
Divide  -65 by 0.

Solution:
We know that the any integer divided by 0 is infinity by division property. Here, one twenty five by zero
= ∞

Problem 3:

Divide 106 by 0.

Solution:
We know that the any integer divided by 0  is infinity by division property. Here,thousand divided by zero.

= ∞

Problem 4:

Divide 0 by 55

Solution:
We know that the zero divided by any number is zero by division property

=0