Real numbers ppt
- 6. 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.
- 7. 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.
- 8. Repeating decimals are decimals that contain a infin Number of digits. Examples 0.3333….. 1.9……. 7.6868686868……
- 9. Terminating decimals are decimals that contain a finite number of digits. For example 1.36.8 2.0.125 3.4.5
- 10. A prime number is divisible by only two numbers, itsel And 1 For example 2,3,5,7,11,13,17,19,23,………
- 11. A composite is a whole number greater than 1 and is no a prime number
- 12. Every composite number can be expressed as a produc primes and this expression is unique ,apart from the in which the primes occur.
- 13. For positive integers a and b, there exist unique intege q and r satisfying the relation: a=bq+r
- 14. Let p be a prime number. If p divides (a)2 , then p divides a , where a is a positive integer.
- 15. ……(ellipsis)-continues without end. Finite-having bounds , limited Infinite-having no boundaries or limits