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Explains the number system and what real numbers contain , what makes them up.Feel free to comment
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Real Numbers
By – Apoorv SharmaX – C
Roll no. 29
What is a Real number Real numbers comprise of any
number you can think or use in everyday life.
Each real number represents a unique number of the number line.
Real numbers are the compilation of all types of numbers.
What Comprises Of Real Numbers
Rational Numbers
Integers
Whole Numbers
Natural Numbers
Irrational
Numbers
Real Number
s
Natural Numbers
All counting numbers which start from 1 are natural numbers.
They have only positive value numbers.
Whole numbers Whole numbers are
natural numbers with the number 0 added to them
They have one number zero as nether positive nor negative but all other numbers are positive
Integers Integers are natural
numbers with zero and their negative values
They have a neutral number zero, the positive numbers with their negative counterparts
Rational Numbers Rational numbers are those
numbers which cannot be written as integers.
They are written as an integer divided by another integer and the denominator is not zero and both numbers do not have common factors.
Rational numbers have either ending or non-terminating repeating decimal expansions.
Between every 2 rational numbers, you will find 2 more rational numbers.
Rational numbers can be called fractions.
Irrational Numbers All numbers which cannot be
written as an integer upon integer where the denominator is zero and both integers are co-primes are irrational numbers.
They are non - terminating non-repeating decimal expansions.
The roots of prime number are irrational.