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Division of numbers

In this section we will discuss Division of numbers.

We know that division of whole numbers is an inverse process of multiplication. This is same for Integer Division.

Dividend : The number to be divided is called dividend.

Divisor : The number which divides is called divisor.

Quotient : The answer of division is called the quotient.

Example : 36 ÷ 12 = 3; Here 36 is Dividend , 12 is a divisor and 3 is the quotient.

Rules for division of numbers(integers)
Number
Rule
Example
1)
(+)
---- = (-)
(-)
(+12)
----- = (-2)
(-6)
2)
(-)
---- = (-)
(+)
(+24)
---- = (-3)
(-8)
3)
(-)
---- = (+)
(-)
(-32)
---- = (+ 2)
(-16)
4)
(+)
---- = (+)
(+)
(+100)
------ = (+ 4)
(+ 25)

Properties of Division

1) If a and b are integers then a ÷ b is not necessarily integer.

Example : 15 ÷ 6, -12 ÷ 7 are not integers.

2) If a is an integer different from 0, then a ÷ a = 1.

3) For every integer a, we have a ÷ 1 = a

4) If a is non-zero integer then 0 ÷ a = 0

5) If a is an integer, then a ÷ 0 is not defined.

Some solved examples :

1) Divide : -91 by 13

Solution :

-91 by 13

- 91 ÷ 13 = ( - 91) / 13 = - 7
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2) Divide : 324 by – 27
Solution :

324 by – 27

324 ÷ -27 = 324 / ( - 27) = - 12
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3) Divide : (- 30,000) by (-100 )

Solution :
(- 30,000) by (-100 )

(- 30,000) ÷ ( - 100) = ( - 30,000) / ( - 100) = + 300
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4) Find the value of [ 32 + 2 x 17 + ( -6) ] ÷ 15

Solution :

[ 32 + 2 x 17 + ( -6) ] ÷ 15

= [ 32 + 34 + ( -6)] ÷ 15

= [ 66 – 6 ] ÷ 15

= 60 ÷ 15

= 60 / 15
= 4
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Integers

Absolute value of Integers
Absolute Value Equation
Addition of Integers
Multiplication of Numbers
Division of Numbers
Number System

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