# untitled

(Barré) #1

after the decimal of numbers are repeated among themselves, they are known recurring
decimals and if they are not repeated, they are called non-recurring decimals. For

example : 1  2323 ........, 5  6  5  4 etc. are the the recurring decimals and
0  523050056 ........, 2  12340314 ........etc. are non-recurring decimals.

Real Number
All rational and irrational numbers are known as real numbers. For example :

``````0 ,r 1 ,r 2 ,r 3 ,.......... ,........
3``````

``````4
,
2``````

``````3
,
2``````

1
r r r 2 , 3 , 5 , 6 ......
1  23 , 0  415 , 1  3333 ......., 0  6  2 , 4  120345061 .......... etc. are real numbers.
Positive Number
All real numbers greater than zero are called positive numbers. As for instance

``````, 2 , 0 415 , 0 62 , 4120345061 ..............
2``````

``````3
,
2``````

``````1
1 , 2 ,    etc. are positive numbers.``````

Negative Number
All real numbers less than zero are called negative numbers. For example,

``````, 2 , 0415 , 0 62 , 4120345061 ..............
2``````

``````3
,
2``````

``````1
 1 , 2 ,         etc. are``````

negative numbers.
Non-Negative Number
All positive numbers including zero are called non-negative numbers. For example,

``2 ,^0612 ,^13 ,^2120345 ..............``

``````1
0 , 3 ,    etc. are non-negative numbers.
Classification of real Number.
Real``````

``Rational``

``Integer Fraction``

``Positive 0 Negative Simple Decimal Irrational``

``````Fractional 1 Composite Proper Improper Mixed Terminating Recurring Non-
recurring``````