[PDF] NUMBER SYSTEMS recurring while the decimal expansion

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(A) Main Concepts and Results

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.NUMBER SYSTEMS

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