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Real Numbers By – Apoorv Sharma X – C Roll no. 29

Real numbers

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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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Page 1: Real numbers

Real Numbers

By – Apoorv SharmaX – C

Roll no. 29

Page 2: Real numbers

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.

Page 3: Real numbers

What Comprises Of Real Numbers

Rational Numbers

Integers

Whole Numbers

Natural Numbers

Irrational

Numbers

Real Number

s

Page 4: Real numbers

Natural Numbers

All counting numbers which start from 1 are natural numbers.

They have only positive value numbers.

Page 5: Real 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

Page 6: Real numbers

Integers Integers are natural

numbers with zero and their negative values

They have a neutral number zero, the positive numbers with their negative counterparts

Page 7: Real numbers

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.

Page 8: Real numbers

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.