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Types of Numbers

Types of Numbers. Multiples and LCM. Factors and HCF. Prime numbers. www.mathsrevision.com. Prime Decomposition. Starter Questions. 92 o. 100 o. 45 o. Time Left :. 8. 6. 5. 4. 2. 1. 0. 7. 3. mins. 31 o. www.mathsrevision.com. Types of Numbers. Multiples. Learning Intention.

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Types of Numbers

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  1. Types of Numbers Multiples and LCM Factors and HCF Prime numbers www.mathsrevision.com Prime Decomposition Created by Mr. Lafferty

  2. Starter Questions 92o 100o 45o Time Left : 8 6 5 4 2 1 0 7 3 mins 31o www.mathsrevision.com Created by Mr. Lafferty

  3. Types of Numbers Multiples Learning Intention Success Criteria • Remember times tables and use them for multiples. • We are learning that multiples are simply values in the times tables • We are learning how to find the Lowest Common Multiple. • Apply sets of multiples to identify Lowest Common Multiples www.mathsrevision.com Created by Mr. Lafferty

  4. Types of Numbers Multiples Example 1 : Find the first seven multiples of 3. M3 = 3, 6 , 9, 12, 15, 18,21 Example 2 : Find the first five multiples of 4. www.mathsrevision.com M4 = 4, 8 , 12, 16, 20, ……… Created by Mr. Lafferty

  5. Types of Numbers Lowest Common Multiple Lowest Common Multiple Smallest Same Number We need to write out multiples in order to find the Lowest Common Multiple. www.mathsrevision.com Created by Mr. Lafferty

  6. Types of Numbers Lowest Common Multiple Example : Find the LCM of 3 and 4. M3 = 3, 6 , 9, 12, 15, ……… www.mathsrevision.com M4 = 4, 8 , 12, 16, 20, ……… LCM = 12 Created by Mr. Lafferty

  7. Types of Numbers Now try Exercise 1 Ch5 (page 28) www.mathsrevision.com Created by Mr. Lafferty

  8. Starter Questions 52o 150o 65o www.mathsrevision.com Created by Mr. Lafferty

  9. Types of Numbers Using Factors Learning Intention Success Criteria • Identify factors using factor pairs • We are learning that a factor divides into a number with no remainder • We are learning how to find Highest Common Factors • Find HCF for two numbers by comparing factors. www.mathsrevision.com Created by Mr. Lafferty

  10. Types of Numbers Highest Common Factor Example : Find the HCF of 8 and 12. F8 = 1 and 8 2 and 4 F12 = 1 and 12 2 and 6 3 and 4 www.mathsrevision.com HCF = 4 Created by Mr. Lafferty

  11. Types of Numbers Highest Common Factor Highest Common Factor Largest Same Number We need to write out all factor pairs in order to find the Highest Common Factor. www.mathsrevision.com Created by Mr. Lafferty

  12. Types of Numbers Factors Example : Find the factors of 56. Always divide by 1 and find its pair F56 = 1 and 56 From 2 find other factors and their pairs www.mathsrevision.com 2 and 28 4 and 14 7 and 8 Created by Mr. Lafferty

  13. Types of Numbers Now try Exercise 2 Ch5 (page 30) www.mathsrevision.com Created by Mr. Lafferty

  14. Starter Questions 4 cm 5 cm www.mathsrevision.com Created by Mr. Lafferty

  15. Types of Numbers Prime Numbers Learning Intention Success Criteria • understand the term Prime Number. • We are learning what a prime number is. • Find all prime between 1 and 200. www.mathsrevision.com Created by Mr. Lafferty

  16. Types of Numbers Prime Numbers Definition : A prime number is a number with exactly 2 factors. Example : Is 7 a prime number. Explain? Yes, only two factors 1,7 www.mathsrevision.com Example : Is 10 a prime number. Explain? No, more than two factors 1,2,5,10 Created by Mr. Lafferty

  17. Strike the two’s, strike the three’s the Sieve of Eratosthenes 25 primes Below 100 when the multiples sublime, the numbers that remain areprime!

  18. Use the method of Eratosthenes to find all primes below 200 What is the largest prime <200? 46 primes below 200

  19. Range Number of Primes 0 – 1000 168 1000 – 2000 135 2000 – 3000 127 3000 – 4000 120 4000 - 5000 119 5000 - 6000 114 6000 - 7000 117 7000 – 8000 107 8000 - 9000 110 9000 – 10 000 112 ? 10 000 – 11 000 106 11 000 – 12 000 103

  20. Strike the two’s, strike the three’s the Sieve of Eratosthenes Worksheet – www.mathsrevision.com when the multiples sublime, the numbers that remain areprime!

  21. Strike the two’s, strike the three’s the Sieve of Eratosthenes Worksheet – www.mathsrevision.com when the multiples sublime, the numbers that remain areprime!

  22. Types of Numbers Now try Exercise 3 Ch5 (page 32) www.mathsrevision.com Created by Mr. Lafferty

  23. Starter Questions 119o 5 cm 8 cm www.mathsrevision.com Created by Mr. Lafferty

  24. Types of Numbers Prime Decomposition Learning Intention Success Criteria • Understand the term prime decomposition. • We are learning what prime decomposition is. • Decompose numbers to a product of prime only. www.mathsrevision.com Created by Mr. Lafferty

  25. Types of Numbers 3 4 3 2 2 Prime Decomposition A number is either Prime or Composite. (except for 0) If it is composite, like 12, it canalways be expressed as a “product of primes” Example : Express 12 as a “product of primes” 12 = 3 x 4 = 3 x 2 x 2 www.mathsrevision.com 12 All Prime ! Created by Mr. Lafferty

  26. Types of Numbers 3 6 3 3 2 Prime Decomposition Example : Express 18 as a “product of primes” 18 = 3 x 6 = 3 x 3 x 2 18 All Prime ! www.mathsrevision.com Created by Mr. Lafferty

  27. Types of Numbers Now try Exercise 4 Ch5 (page 35) www.mathsrevision.com Created by Mr. Lafferty

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