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# Real numbers

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Explains the number system and what real numbers contain , what makes them up.

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### Real numbers

1. 1. Real Numbers<br />By – ApoorvSharma<br />X – C<br />Roll no. 29<br />
2. 2. What is a Real number<br />Real numbers comprise of any number you can think or use in everyday life.<br />Each real number represents a unique number of the number line.<br />Real numbers are the compilation of all types of numbers.<br />
3. 3. What Comprises Of Real Numbers <br />
4. 4. Natural Numbers<br />All counting numbers which start from 1 are natural numbers.<br />They have only positive value numbers.<br />
5. 5. Whole numbers<br />Whole numbers are natural numbers with the number 0 added to them<br />They have one number zero as nether positive nor negative but all other numbers are positive<br />
6. 6. Integers<br />Integers are natural numbers with zero and their negative values <br />They have a neutral number zero, the positive numbers with their negative counterparts<br />
7. 7. Rational Numbers<br />Rational numbers are those numbers which cannot be written as integers.<br />They are written as an integer divided by another integer and the denominator is not zero and both numbers do not have common factors.<br />Rational numbers have either ending or non-terminating repeating decimal expansions.<br />Between every 2 rational numbers, you will find 2 more rational numbers.<br />Rational numbers can be called fractions.<br />
8. 8. Irrational Numbers<br />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.<br />They are non - terminating non-repeating decimal expansions.<br />The roots of prime number are irrational.<br />