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Number System

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Introduction:

Natural numbers: The numbers from 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 complete 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.

 

Routine or prime numbers: Larger natural numbers than 1 which are not divisible by 1 or any other number, are called standard numbers. Such as 2 3 5 7 And so on.

 

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

 

Non-Coarctial Numbers: The two natural numbers that have the greatest convergent (HCF) 1 are called non-volatile numbers. Like 4 and 9 are non-divisible numbers

 

Prime Triplet Numbers: The three natural numbers whose greatest common denominators (H.C.F) 1 are called atyramatic numbers. Like- 8 and 9 are integral 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 completions and fractions.

 

Irrational Numbers: The actual 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: Full Numbers 1 2 3 4 5 Is called a dynamic fuller. They are also written +1 + 2 +3 +4 +5. The cube fuller + a’s inverse inversion -a is called negative fuller. Therefore, the sum of 1 2 3 4 … etc are inverse inverse -1 -2 -3 -4 … etc. are negative altogether.

 

Real numbers: Rational and irrational numbers are called real numbers together, Unrealistic or Imaginary Quantities: The numbers that are not real are called hypothetical 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 equation of the joint.

 

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

 

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

 

Propship of the fold or Inverse Element of Multiplication: For each rational number a, except for zero the rational number 1/a gets , Where a × 1/a = 1/a × a = 1 then a to 1/a is called the rectangle component.

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