PUMPA - THE SMART LEARNING APP

AI system creates personalised training plan based on your mistakes

### Theory

 1 Law of exponents for real numbers 2 Radical notation 3 Surds 4 Types of surds 5 Laws of radicals 6 Four basic operations on surds 7 Rationalisation of surds and conjugate surds 8 Rationalise the denominator 9 Scientific notation and writing a number in scientific notation 10 Converting scientific notation to decimal form 11 Arithmetic of numbers in scientific notation

### Exercises

 1 Enter the value in reduced form Difficulty: easy 2 2 Find the order Difficulty: easy 2 3 Write in Index notation Difficulty: easy 2 4 Write in scientific notation Difficulty: easy 2 5 Write in decimal form Difficulty: easy 2 6 Rationalise the expressions Difficulty: medium 5 7 Add, multiply the given expressions Difficulty: medium 4 8 Find the simpler form of exponents Difficulty: medium 4 9 Subtract, divide the given expressions Difficulty: medium 4 10 Simplify the expressions Difficulty: medium 4 11 Answer the questions Difficulty: medium 4 12 Determine the value of the expression Difficulty: hard 6 13 Add, subtract and multiply the given expressions Difficulty: hard 5 14 Apply law of exponents Difficulty: hard 5 15 Reduce the expression by rationalising it Difficulty: hard 5

### Tests

 1 Training test Difficulty: easy 6 2 Training test Difficulty: medium 9 3 Training test Difficulty: hard 12

### Teacher manual

 1 Methodical recommendation