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Sections

Real Numbers

Pick a section. You read the idea first, then answer questions on it.

1. Primes decide everything1 ideaRead

2. Before you start1 ideaRead

3. Prime and composite numbers1 ideaRead

4. A rational number in lowest terms1 ideaRead

5. Every composite number factors into primes, uniquely1 ideaRead

6. Factorising 378 by repeated division1 ideaRead

7. Reading HCF and LCM off two factorisations1 ideaRead

8. HCF times LCM equals the product1 ideaRead

9. HCF and LCM of 12 and 181 ideaRead

10. HCF times LCM works for two numbers only1 ideaRead

11. Why powers of 9 never end in zero1 ideaRead

12. A sum that factors is composite1 ideaRead

13. A prime dividing a square divides the root1 ideaRead

14. Root 2 cannot be written as a fraction1 ideaRead

15. Checking a few fractions is not a proof1 ideaRead

16. Root 3 is irrational, the same way1 ideaRead

17. Root 5 is irrational, the same way1 ideaRead

18. 3 plus 2 root 5 is irrational1 ideaRead

19. Recap1 ideaRead

20. Where you will meet this1 ideaRead

21. Practice set: Exercise 1.11 ideaRead

22. Practice set: Exercise 1.21 ideaRead