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Real numbers

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Real numbers comprise all numbers that can be used in everyday life, including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Real numbers represent unique points along the infinite number line. They include natural counting numbers and their positives, whole numbers with zero added, integers with their positives and negatives, rational numbers that can be written as fractions, and irrational numbers with non-terminating, non-repeating decimals.

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Real NumbersBy – ApoorvSharmaX – CRoll no. 29
What is a Real numberReal 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
Natural NumbersAll counting numbers which start from 1 are natural numbers.They have only positive value numbers.
Whole numbersWhole numbers are natural numbers with the number 0 added to themThey have one number zero as nether positive nor negative but all other numbers are positive
IntegersIntegers are natural numbers with zero and their negative values They have a neutral number zero, the positive numbers with their negative counterparts
Rational NumbersRational 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 NumbersAll 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.

More Related Content

Real numbers

  • 1. Real NumbersBy – ApoorvSharmaX – CRoll no. 29
  • 2. What is a Real numberReal 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.
  • 3. What Comprises Of Real Numbers
  • 4. Natural NumbersAll counting numbers which start from 1 are natural numbers.They have only positive value numbers.
  • 5. Whole numbersWhole numbers are natural numbers with the number 0 added to themThey have one number zero as nether positive nor negative but all other numbers are positive
  • 6. IntegersIntegers are natural numbers with zero and their negative values They have a neutral number zero, the positive numbers with their negative counterparts
  • 7. Rational NumbersRational 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.
  • 8. Irrational NumbersAll 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.