### Theory

 1 Decimal expansion of rational numbers 2 Summary of reciprocal of natural number 3 Period of decimal expansion 4 Convert the decimal form of rational numbers to fractional form 5 Check whether the decimal form of rational number will terminate or non-terminate 6 Decimal expansion of irrational number 7 Some facts about irrational numbers 8 Finding irrational numbers between two numbers 9 Introduction to real numbers

### Exercises

 1 Determine the decimal expansion and its nature Difficulty: easy 4 2 Express the recurring decimal to terminating decimal Difficulty: easy 3 3 Classify the decimal expansion Difficulty: easy 3 4 Modify the decimal expression in fraction form Difficulty: medium 4 5 Express the decimal number in rational form Difficulty: medium 4 6 Switch the decimal expression in fraction form Difficulty: medium 3 7 Write the decimal expression in fraction form Difficulty: hard 6 8 Transform the decimal expression in fraction form Difficulty: hard 4 9 Transform the decimal expression in fraction form Difficulty: hard 5

### Tests

 1 Training test Difficulty: medium 11

### Teacher manuals

 1 Methodical recommendation