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Division of numbers

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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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