### Theory

 1 Recall the concept of rational numbers 2 More about rationals 3 Irrational numbers 4 How to represent irrational number in number line 5 Decimal expansion of real numbers 6 Decimal expansion of rational 7 Decimal expansion of irrational 8 Operations on irrational numbers 9 Finding irrational numbers between two numbers

### Exercises

 1 Say true or false Difficulty: easy 3 2 Calculate the decimal expansion Difficulty: easy 3 3 Rational or irrational number Difficulty: easy 3 4 Difference of two numbers in the expression Difficulty: easy 3 5 Find a rational number between two numbers Difficulty: easy 3 6 Locating a point in number line Difficulty: easy 2 7 Test the expression is rational or irrational Difficulty: easy 3 8 Determine the rational number between two numbers Difficulty: medium 4 9 Modify the decimal expression in fraction form Difficulty: medium 4 10 Express the decimal number in rational form Difficulty: medium 4 11 Switch the decimal expression in fraction form Difficulty: medium 4 12 Write the decimal expression in fraction form Difficulty: hard 4 13 Transform the decimal expression in fraction form Difficulty: hard 4 14 Transform the decimal expression in fraction form Difficulty: hard 5

### Tests

 1 Training test Difficulty: medium 9

### Teacher manual

 1 Methodical recommendation