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Number System

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Introduction:

Natural numbers: The numbers by which counting is performed are called natural numbers, such as 1 2 3 4 5 .. There are natural numbers.

Whole Numbers: Includes 0 (zero) in the set of natural numbers, then a set of whole numbers is formed. I.e. 0 1 2 3 4. ………… etc. are whole numbers.

Note: 0 (zero) is not a natural number.



Even Numbers: The natural numbers which are divisible by 2 are called even numbers. Such as 2 4 6 8. e.t.c .

Odd Numbers: The natural numbers that are not divisible by 2 are called odd numbers. Such as 1 3 5 7 And so on.

Prime numbers: The natural numbers which are divisible by 1 or itself not by any other number, are called prime numbers. Such as 2 3 5 7 And so on.

Composite Number: The natural numbers which are divisible by 1 or by any other number, are known as composite numbers. Such as 4 6 8 9 10 And so on.

Co-prime Numbers: Those two natural numbers which have the greatest common divisor (HCF) 1 are called co-prime numbers. Like 4 and 9 are co-prime numbers.

Prime Triplet Numbers: Those three natural numbers which have the greatest common divisor (HCF) 1 are called prime triplet numbers. . Like – 8,9 and 25 are Prime triplet numbers.

Rational Numbers: The smallest form that a integer gets after dividing the other integer (apart from zero) is called a rational number. Like (where q = 0) is a rational number.

Note: Rational numbers are composed by collecting the composite numbers and fractions.

Irrational Numbers: The real number that is not a rational number is called an irrational number. Like Etc. are irrational numbers. Irrational numbers are non-recurring and non-terminating. That is, when it is converted into a decimal, neither it comes in the form of recurring nor does it have any definite end.

Positive and Negative Integers: Whole Numbers 1 2 3 4 5 are called positive integers. They are also written +1 + 2 +3 +4 +5. The positive numbers  + a’s inverse -a is called negative integer. Therefore, the negative whole numbers -1 -2 -3 -4 … etc are the inverse of 1 2 3 4 ….

Real numbers: Rational and irrational numbers together are called real numbers.

Unrealistic or Imaginary Quantities: The numbers that are not real are called Imaginary numbers. Like Etc.

Identity Element of Addition: Adding 0 to any number does not make any difference in that number, therefore 0 is called the identity element of the addition.

Identity Element of Multiplication: By multiplying a number by 1, there is no difference in that number, therefore 1 is called the identity element of multiplication.

The inverse element of addition : -a is the rational number for each rational number a, where a + (-a) = (-a) + a = 0, So -a is called the inverse element of addition.

Inverse Element of Multiplication: For each rational number a, except for zero we get the rational number 1/a , Where a × 1/a = 1/a × a = 1 then a  is called the Inverse element of Multiplication of 1/a.

Objective type Questions, Notes for Govt Exams, current affairs, general knowledge, hindi objective questions, English objective questions, Mathematics objective Questions, Reasoning Objective Questions, study material for IBPS, study material for banks, study material for SSC, study material for DSSSB, Aptitude objective type Questions, Solved Question papers, Notes, Study Material, general knowledge questions and answers, gk questions and answers, hindi questions and answers, English questions and answers , mathematics questions and answers, reasoning questions and answers, current affairs questions and answers, general knowledge questions and answers for competitive Exams, gk questions and answers for competitive Exams, hindi questions and answers for competitive Exams, English questions and answers for competitive Exams, Mathematics questions and answers for competitive Exams, reasoning questions and answers for competitive Exams, current affairs questions and answers for competitive Exams, Railway jobs, banking job, corporate jobs, government jobs, govt jobs, private jobs, CPO, PCS, RRB, CDS, UPSC,Notes, Online Tests, practice sets, questions and answers with explanation for competitive examination, entrance test, Railway, IBPS, SSC, DSSSB, PCS, Banking for hindi, english, mathematics, reasoning, gk, current affairs and many more.





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