1. The set of real numbers can be divided into two sets: RATIONAL NUMBERS IRRATIONAL NUMBERS and Numbers that can be written in the form a. b Numbers that can be written in the form a. b Numbers that cannot be written in the form a. b Numbers that cannot be written in the form a. b

2. Rational numbers include: all integers all fractions all mixed numbers all terminating decimals all recurring decimals some square roots some cube roots

3. Irrational numbers include: some square roots some cube roots

4. 1 Which of these numbers are irrational numbers? Answer: and

5. 2 Write each of these numbers in the correct place on the Venn diagram. Rational numbers Integers

6. 3 Is x rational or irrational for this triangle? 10 cm x cm 24 cm Using Pythagoras Answer: x is rational

7. 4 Is x rational or irrational for this triangle? 4 cm x cm 12 cm Using Pythagoras Answer: x is irrational