- Rational numbers
- Irrational numbers
- Locating irrational numbers on the number line
- Real numbers and their decimal expansions
- Representing real numbers on the number line
- Operations on real numbers
- Rationalisation of denominator
- Laws of exponents for real numbers
- A number is called a rational number, if it can be written in the form p q , where p and q are integers and q ≠ 0.
- A number which cannot be expressed in the form p q (where p and q are integers and q ≠ 0) is called an irrational number.
- All rational numbers and all irrational numbers together make the collection of real numbers.
- Decimal expansion of a rational number is either terminating or non-terminating recurring, while the decimal expansion of an irrational number is non-terminating non-recurring.
- If r is a rational number and s is an irrational number, then r+s and r-s are irrationals.

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