Wednesday 25 January 2017

Types of numbers

•  Real numbers: Numbers which can be quantified and represented by a unique point on the number line are called real numbers.
•  Complex numbers: Complex numbers are the numbers which have both real and imaginary part. 
•  Rational numbers: Numbers of the form p/q, where p and q are integers and q≠0 are called rational numbers.
•  Irrational numbers: Numbers which are not rational but can be represented on the number line are called irrational numbers.
•  Integers: Rational numbers of the form p/q, where p and q are integers and q= ±1 are called integers.
•  Fractions : Fractions are a type of rational numbers, which are of the form p/q, where p and q are integers and q≠0 and whose numerator is less than the denominator and both are in the lowest terms.
•  Whole numbers: Whole numbers are the set of positive integers from 0. They do not have any decimal or fractional part.
•  Negative integers: Negative integers are the set of negative numbers before 0. They do not have any fractional or decimal part.
•  Natural numbers: Natural numbers are the set of positive integers, that is, integers from 1 to ∞, excluding fractional n decimal part. They are whole numbers excluding zero.
• Even numbers: Numbers divisible by 2 are called even numbers.
• Odd numbers: Numbers which are not divisible by 2 are called odd numbers. Odd numbers leave 1 as the remainder when divided by 2.
• Prime numbers: Any number other than 1 which does not have any factor apart from one and the number itself is called a prime number.
•  Co-prime/relatively prime numbers: Two numbers are said to be co-prime or relatively prime if they do not have any common factor other than one.
•  Composite numbers: a number that has more than two distinct factors is called a composite number.
•  Perfect numbers: A number is said to be a perfect number if the sum of all its factors, excluding itself (but including 1) is equal to the number itself.

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