### Theory

 1 Visualizing real numbers 2 Process of successive magnification 3 Represent recurring decimal number on number line. 4 Properties of real numbers 5 How to represent square roots of real numbers geometrically 6 Rationalise the denominator 7 Law of exponents for real numbers

### Exercises

 1 Locate the range of a real number Difficulty: easy 2 2 Classify the numbers as rational or irrational Difficulty: easy 3 3 Simplify the expression Difficulty: easy 3 4 Reduce the expression Difficulty: easy 3 5 Enter the value in reduced form Difficulty: easy 2 6 Magnify the number with one decimal place Difficulty: medium 4 7 Add, multiply the given expressions Difficulty: medium 4 8 Subtract, divide the given expressions Difficulty: medium 4 9 Rationalise the expressions Difficulty: medium 5 10 Find the simpler form of exponents Difficulty: medium 4 11 Add, subtract and multiply the given expressions Difficulty: hard 5 12 Apply law of exponents Difficulty: hard 5 13 Reduce the expression by rationalising it Difficulty: hard 5

### Tests

 1 Training test Difficulty: medium 9

### Teacher manual

 1 Methodical recommendation