In mathematics integers are the set of whole numbers in
which the numbers greater than zero are considered positive integers where as
numbers lesser than zero are said to be negative integers and the number zero
is neither positive nor negative. In simple language integers is nothing but
number representation. The four main properties of whole numbers to operate
integers are addition, subtraction, multiplication and division. But in integer
there is no fraction and decimal.

## Positive Integers

The whole number is called as the positive integer and the
symbol for positive integer is +. The positive integers are also combined
with the negative integers. Here are some of the rules applied for addition and
subtraction integers.

( + ) + ( + ) = ( + )

( + ) + ( - ) or ( - ) + ( + ) = The resultant value is
based on large number sign. Take the numbers 4 and -2 and apply the addition
operation as 4 + (-2) = 2.

**Rules for
multiplication:**

( + ) x ( + ) = ( + )

( + ) x ( - ) = ( - )

( - ) x ( + ) = ( - )

**Rules for division:**

(+ ) / ( + ) = ( + )

( - ) / ( - ) = ( + )

## Negative Integers

The number value before the zero line is considered to be
the negative integer and the symbol used for negative integer is -.

## Rules of Integer

The rules in integers give us the steps to be followed to
solve a problem on integers. These rules are very important to perform any
arithmetic operations in the field of integers. Rules are different depending
on the sign of the integers. The integer rules are applied on arithmetic
operations with integers like addition, subtraction, multiplication and
division.

**An example showing
addition of integers:**

Add the given two negative number -10, -23.

Answer: The two numbers to be added are negative numbers.

Therefore the rule of addition is applied to it. (-10) +
(-23)

The answer is the -33.

**An example showing
subtraction of integers:**

Subtract the two integers -10 from -25.

**Answer:** The two
numbers given are negative numbers -25
and -10,

by using the
subtraction rules we get, (-25) - (-10), it
is written as -25 + 10 by
Subtracting the above two numbers we get the
answer as -15 ( while subtracting
the larger value to the smaller value we must
put the larger value sign).

**An example showing
multiplication of integers:**

Multiply 2 with -3.

**Answer:** In this
sum 2 is a positive number and 3 is a
negative number

Therefore multiply a positive number with a negative number the result will be
negative 2 x (-3) = -6

**An example showing
division of integers:**

Divide 12 with 4

**Answer:** In this
sum 12 and 4 are positive numbers.

When a positive number is divided by a positive number we
get a positive result 12/4 = 3