Number System - Part 1
Numerals: Figures representing a number is called numeral.
Types Of Number
Natural Number : Numbers used in counting are termed as natural numbers
Ex. N={ 1, 2, 3, 4, 5, ....}
Whole Number: Natural numbers with 0 are termed as whole number
Ex. W={0, 1, 2, 3, 4, ......}
Prime number : A number which is not divisible by other numbers except the number itself and 1 is termed as prime number
Ex. Is 419 a prime number ?
Solution: The square root of 419 is 20 approx. The prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17, 19 419 is not divisible by any one of them , so 419 is a prime number.
Composite Numbers: Numbers other than one which are not prime are termed as Composite numbers
Ex. 4, 6, 8, 9, 12
Even Numbers: Numbers which are divisible by 2 ae termed as even numbers. Ex. 2, 4, 6, 8, 10
Odd Numbers: The number which is not divisible by 2 are termed as odd numbers. Ex. 3, 7, 9, 11
Consecutive numbers: Numbers increasing by one are termed as consecutive numbers. Ex. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Integers: The set of numbers which consists of Negative numbers and whole numbers is known as Integers.
I= { ....-5, -4, -3, -2, -1, 0, 1, 2, 3, 4..... }
Rational Numbers: The numbers which can be written in the form P / Q , where P and Q are integers and Q not equal to zero is termed as Rational Numbers. Ex. (1/2), (3/7), (7/11)
Irrational Numbers: The numbers which can not be written in P / Q form are termed as Irrational Numbers
Real Numbers: Real number consists of both rational as well as irrational numbers
Ascending or Descending Ordes in Rational Numbers
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