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Division: pg. 1, 2, 3

Contents:

pg.1…..Division  – about division

pg.2…..Division – exercises

pg.3…..Division – answers to exercises

 

About division

The result of division is called the quotient.

Division is the inverse of multiplication. 

a divided by b is equal with c or a over b is equal with c is written: a : b = c or a/b = c or , where a is called the dividend, b is called the divisor and c is called the quotient.

Example:

8 divided by 2 is equal with 4 can be written: 8 : 2 = 4 or 8/2 = 4 or .

• If the dividend has the same sign as the divisor, the quotient is a positive number.

Example:

• If the dividend has a different sign than the divisor, the quotient is a negative number.

Example:

 

Division  properties

 

• Division is Distributive with respect to addition

Example: 

or we can calculate in a different way to verify the result:

 

• Identity element for division is 1. Any number divided by has the result that number:  

Example: 

 

• Division inverse is the number itself. Any number divided to itself  has as result :  

Example: 

 

• Zero Number.

* Zero divided by any number has as result zero:  

Example: 

* Any number divided by zero is undefined:  

Example:

 

• The result of a division stays the same if we multiply or divide the dividend and divisor with the same number.

in this case the divident and the divisor were multiplied with 

Example:

in this case the dividend and the divisor were multiplied with 

or can be written   in this case the dividend and the divisor were divided by

 

Dividing numbers:

Example:

 

 

 

 

Division: pg. 1, 2, 3