Different kinds of numbers

DIFFERENT KINDS OF NUMBERS CLASS ASSIGNMENT1 Discover the number system step by step.... 1. General: Different kinds of numbers Provide an example of each of the following numbers: Natural numbers N = {..................................................} Counting numbers N₀ = {..................................................} Integers Z+ = {..................................................} Z- = {..................................................} Rational numbers Q = {..................................................} Irrational numbers Q’ = {..................................................} Real numbers R = {..................................................} 2. Natural numbers Prime numbers ={..................................................} Compound numbers ={..................................................} Definition: ........................................................................................…………..................................................…………..................................................………….......... Definition: ................................................................…………..........................................................................…………..................................................…………..........

Prime numbers + Compound numbers = Natural numbers 3. Divisibility rules Do you recall that

In each instance, select a number that is divisible by the given divisor and try to deduce a rule for each instance. Number Divisor Divisibility rule 3.1 2 3.2 3 3.3 4 3.4 5 3.5 6 3.6 8 3.7 9 3.8 10 3.9 11

4. Determine by which numbers (1.3.1 - 1.3.9) 61 226 is divisible and provide a reason for each. 5. Explain what you understand the following terms to mean: 5.1 Multiple: 5.2 Factor: 5.3 Prime number: 5.4 Prime factor: 5.5 Even numbers and odd numbers: How do you determine the factors of a number? Look at the following.....e.g. F₂₄ = {1; 2; 3; 4; 6; 8; 12; 24} 1 x 24; 2 x 12; 3 x 8; 4 x 6 6. Determine the factors of 48. 7.Write out all the multiples of 6 between 23 and 56. 8. Determine the prime numbers between 17 and 78. 9 Determine all odd compound numbers between 16 and 50. 10 Write down all the factors of 50 that are prime numbers. 11. Write down all the factors of 50 that are compound numbers. 12. Explain: Cube numbers. Write down the first 6 cube numbers. 13. Explain : Square numbers. Write down the first 10 square numbers. HOMEWORK ASSIGNMENT 1 1. Write the definition for each of the following: 1.1 Rational number: 1.2 Prime number: 1.3 Compound numbers: 1.4 Prime factors: 2. Select from {0; 1; 2; 3; 4; ... ; 36} and write down: 2.1 The first two compound numbers 2.2 Odd numbers that are not prime numbers 2.3 Multiples of 6 2.4 Factors of 12 2.5 Prime factors of 12 2.6 Factors of 36 3. Which of the following numbers -⁹/₃; ⁷/₀; 0; 3; -9; 16; 2 ¹/₃ are: 3.1 Integers? 3.2 Rational numbers? 3.3 Non-real numbers? 4. Tabulate the following: 4.1 Natural numbers < 5 ........................................................................... 4.2 Prime numbers < 10 ........................................................................... 4.3 The first four multiples of 12 ........................................................................... 4.4 The first four square numbers ........................................................................... Learning unit 1 Assessment 1.1 Assessment of myself: by myself: Assessment by Teacher: I can…    1 2 3 4 Critical Outcomes 1 2 3 4 give examples of different types of numbers; (Lo 1.1) Critical and creative thinking define prime numbers; (Lo 1.1) Collaborating define compound numbers; (Lo 1.1) Organising en managing apply divisibility rules; (Lo 1.2.6) Processing of information determine multiples of a number; (Lo 1.2.6) Communication determine factors of a number; (Lo 1.2.6) Problem solving determine prime numbers and prime factors; (Lo 1.2.6) Independence determine even and odd numbers. (Lo 1.1)

 good  average  not so good Comments by the learner: My plan of action: My marks: I am very satisfied with the standard of my work. < Date: I am satisfied with the steady progress I have made. Out of: I have worked hard, but my achievement is not satisfactory. Learner: I did not give my best. >

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MemorandumACTIVITY 1 2. {2, 3, 5, 7, . . . } Two factors: 1 and itself {4, 6, 8, 9, . . . } More than 2 factors Own choice: Ends on even numbers Sum of all the numbers ÷ 3 Last numbers ÷ 4: e.g. 84 ÷ 4 = 21 Ends on 0 / 5 Divisible by 2 and 3 Last 3 numbers ÷ 8: e.g. 3 720 ÷ 8 = 90 Add all the numbers ÷ 9 Ends on 0 e.g. 2 6 8 2 + 8 = 10, 10 – 10 = 0 0 ÷ 11 = 0, 4 + 6 = 10 4. 2; 3; 4; 5; 6; 7; 8; 9; 10; 11 √ × × × × × × × × √ Count on, e.g. in 3’s: Number ÷ 3 Number that can divide into another number Number with 2 factors: 1 and itself Prime number that can divide into another number Even: (Ends on even numbers) [divisible by 2] Uneven: (Not divisible by 2) 6. F48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48} 7. {24, 30, 36, 42, 48, 54} 8. {19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73} 9. {21, 25, 27, 33, 35, 39, 45, 49} 10. {2, 5} 11. {10, 25, 50} 12. x³ (number)³: 1, 8, 27, 64, 125, 216 13. x² (number)²: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100

HOMEWORK ASSIGNMENT 1 1.1: , b ≠ 0 (Decimal: recurring or ends) :Number with factors: 1 and itself :Number with more than two factors :Prime number that can divide onto a number :4, 6 :1, 9, 15, 21, 25, 27, 33, 35 :6, 12, 18, 24, 30, 36 :1, 2, 3, 4, 6, 12 :2, 3 :1, 2, 3, 4, 6, 9, 12, 18, 36 :-, 0, 3, -9, 16 :-, 0, 3 -9, 16, 2 : :1, 2, 3, 4 :2, 3, 5, 7 :12, 24, 36, 48 :1, 4, 9, 16