Rational numbers are those numbers
which cannot be written as integers.
They are written as an integer divided by
another integer and the dominator is not
and both numbers do not have
common factors.
Rational numbers have either ending or
non-terminating repeating decimal
expressions.
Between every 2 rational numbers , you
will find 2 more rational numbers.
Rational numbers can be called fractions.
All numbers which cannot be written as an integer up
integer where the denominator is zero and both integer
are co prime are irrstional numbers
They are non terminating non repeating decimal expan
The roots of prime number are irrational.
Repeating decimals are decimals that contain a infin
Number of digits.
Examples
0.3333…..
1.9…….
7.6868686868……
Terminating decimals are decimals that contain a finite
number of digits.
For example
1.36.8
2.0.125
3.4.5
A prime number is divisible by only two numbers, itsel
And 1
For example
2,3,5,7,11,13,17,19,23,………
A composite is a whole number greater than 1 and is no
a prime number
Every composite number can be expressed as a produc
primes and this expression is unique ,apart from the
in which the primes occur.
For positive integers a and b, there exist unique intege
q and r satisfying the relation:
a=bq+r
Let p be a prime number.
If p divides (a)2 , then p divides a ,
where a is a positive integer.
……(ellipsis)-continues without end.
Finite-having bounds , limited
Infinite-having no boundaries or limits
Real numbers ppt

Real numbers ppt

  • 6.
    Rational numbers arethose numbers which cannot be written as integers. They are written as an integer divided by another integer and the dominator is not and both numbers do not have common factors. Rational numbers have either ending or non-terminating repeating decimal expressions. Between every 2 rational numbers , you will find 2 more rational numbers. Rational numbers can be called fractions.
  • 7.
    All numbers whichcannot be written as an integer up integer where the denominator is zero and both integer are co prime are irrstional numbers They are non terminating non repeating decimal expan The roots of prime number are irrational.
  • 8.
    Repeating decimals aredecimals that contain a infin Number of digits. Examples 0.3333….. 1.9……. 7.6868686868……
  • 9.
    Terminating decimals aredecimals that contain a finite number of digits. For example 1.36.8 2.0.125 3.4.5
  • 10.
    A prime numberis divisible by only two numbers, itsel And 1 For example 2,3,5,7,11,13,17,19,23,………
  • 11.
    A composite isa whole number greater than 1 and is no a prime number
  • 12.
    Every composite numbercan be expressed as a produc primes and this expression is unique ,apart from the in which the primes occur.
  • 13.
    For positive integersa and b, there exist unique intege q and r satisfying the relation: a=bq+r
  • 14.
    Let p bea prime number. If p divides (a)2 , then p divides a , where a is a positive integer.
  • 15.
    ……(ellipsis)-continues without end. Finite-havingbounds , limited Infinite-having no boundaries or limits