We will discuss these topics of real numbers in this Master Class :

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Representation of terminating / non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/ terminating decimals. Operations on real numbers

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as Jagran josh, and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws.)Jagran josh

and (and their combinations) where x and y are natural numbers and a and b are integers.