Mathematics - Class ...

     1.   Division is the inverse operation of multiplication.

     2.   Division of negative integer by positive integer

Steps:

                     i.        First divide them as whole numbers.

                    ii.        Then put a minus sign (–) before the quotient. We, thus, get a negative integer.

     3.   Division of a positive integer by a negative integer

Steps:

                     i.        First divide them as whole numbers.

                    ii.        Then put a minus sign (–) before the quotient. That is, we get a negative integer.

     4.   In general, for any two positive integers a and b, a ÷ (– b) = (– a) ÷ b where b ≠ 0

     5.   Divide a negative integer by a negative integer

     6.   Steps:

                     i.        Divide them as whole numbers.

                    ii.        Then put a positive sign (+). That is, we get a positive integer.

     7.   In general, for any two positive integers a and b, (– a) ÷ (– b) = a ÷ b where b ≠ 0

     8.   Division of integers doesn’t follow the closure property.

     9.   Division of integers is not commutative for integer.    

    10.  Any integer divided by zero is meaningless.

    11.  Zero divided by an integer other than zero is equal to zero.

    12.    When we divide an integer by 1 it gives the same integer.