What is NUMBER SYSTEM?

General Question from Number System for points to remember

General Asked on August 7, 2019 in General.
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Points To Remember

  • Natural Numbers: Counting numbers are known as natural numbers. e.g. 1,2,3,… .
  • Whole Numbers: All natural numbers together with 0 form whole numbers. e.g. 0,1,2,3…
  • Odd Numbers:A number not divisible by 2 is called odd number. g. 1, 3, 5, 7, 9,….etc.
  • Even Numbers:A number divisible by 2 is called even number. g. 2, 4, 6, 8,……etc.
  • Prime Numbers: Natural numbers which are divisible only by 1 and the number itself are called prime numbers.

e.g. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,….    etc.

  • Composite Numbers:The numbers which has more than two factors, except the number 1 and the number itself are known as composite numbers. g. 4, 6, 8, 9, 10, 12, 14, 15,…etc.

Note:

(i) ‘1’ is neither prime nor composite   (ii) ‘2’ is the only even prime.

  • Co-prime Numbers:Two natural numbers (not necessarily prime) are co-prime, if their H.C.F. (Highest common factor) is one.

e.g. (1, 2), (1, 3), (3, 4), (3, 10), (3, 8), (5, 6), etc.

  • Integers: All natural numbers, 0 and the negatives of natural numbers form the collection of integers. e.g. – ¥…-4, -3, -2, -1, 0, 1, 2, 3,….+infinty.
General Answered on August 7, 2019.
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  • Rational Numbers: The numbers of the form where p and q are integers and q ¹ 0 are known as rational numbers. e.g. 0, all natural numbers, all integers,, …. etc.

Decimal representation of rational numbers is terminating or non-terminating but repeating.

  • Irrational Numbers: The numbers which cannot be expressed in the form , where p and q are integers and q ¹ 0 are known as irrational numbers e.g. 020020002 … etc.

Decimal representation is non-terminating and non-repeating.

  • Real Numbers:The collection of rational and irrational numbers are real numbers and is denoted by R.
General Answered on August 7, 2019.
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RE: What is NUMBER SYSTEM?

General Answered on August 7, 2019.
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RE: What is NUMBER SYSTEM?

RE: What is NUMBER SYSTEM?

General Answered on August 7, 2019.
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