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# Real numbers

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### Real numbers

1. 1. GROUP 2 :NORLIZAWATI MUHAMAD HASSAN NORHASZUANI MOHD NASIR NORMAZUIN MOHD NOOR
2. 2. Objectives1. Define and recognize:  rational numbers and irrational numbers,  natural numbers,  whole numbers and  integers.2. List the numbers belonging to any subsets of R3. State the relationship among sets of numbers.
3. 3. Recall 3 3.142   2 2.71828...  e -4 0 4
4. 4. Manual of this tutorial! This tutorial is designed to teach you about Real numbers. The presentation starts with notes and examples followed by practice problems. This action button when pushed will take you back to the previous slide. This action button when pushed will advance you to the next slide. This action button when pushed will take you back to the last slide viewed.
5. 5. Irrational Natural Numbers Numbers Real NumbersRationalNumbers Whole Numbers Integers
6. 6. Naturals NumbersType of Definition ExamplesNumberNatural The set of counting 1Number numbers which is 24/4 also a subset of 3 N real number √16 343
7. 7. Whole NumbersType of Definition ExamplesNumberWhole 0 The set of natural 1Number numbers plus a “0” 3 W W = {0,1,2,3,4,…} √16 343
8. 8. IntegersType of Definition ExamplesNumber The set of natural -√16Integer numbers, their -2 Z negatives and 0 0 Z={…,-3,-2,-1,0,1,2,3,…} 24/4 343
9. 9. Rational NumbersType ofNumber Definition Examples A subset of realRational number that can be -1Number written as a quotient ⅝ p/q where p, q ε Z -10.45 Q and q ≠ 0 3.1414… Q = {p/q |p, q ε Z, q ≠ 0} 5 - 43
10. 10. Irrational NumbersType of Definition ExamplesNumber A subset of realIrrational numbers that are not e Number rational or numbers √2 whose decimal parts π Q’ 3√(-12) neither repeat nor terminate. -7.4512…
11. 11. Real Numbers Real Numbers (R) Rational Irrational Real numbers can be Numbers Numbers (Q) (Q’) divided into two basic groups: Irrational numbers and Rational Integers (Z) numbers. Whole Rational Numbers can Numbers (W) further be divided into 3 groups: integers, whole Natural numbers, and natural Numbers numbers. (N)
12. 12. Sets of numbers Q 1/2, R Z -1,-2.. W 0 Q’ N 1,2,3.. ∏ (pi) √5 ∴ Q ∪ Q = R
13. 13. Practice 1Determine whether each statement is TRUE or FALSE.1. Every counting number is an integer. True2. Zero is a counting number. False3. Negative six is greater than negative three. False4. Some of the integers is natural numbers. True
14. 14. Practice 2Which of the following A -1/2numbers is irrational? B 3.63 C 121 D 3 37
15. 15. SORRY….TRY AGAIN!!!
16. 16. Well Done!
17. 17. Practice 3Which of the following A 3is a rational number? B  C 1/5 D 25/115
18. 18. SORRY….TRY AGAIN!!!
19. 19. WellDone!
20. 20. Practice Makes Perfect video
21. 21. Exercises Refer to:numb3rscene@blogspot.com
22. 22. Video
23. 23. References Notes Math Is Fun MathWorld.Wolfram.com
24. 24. YAY!!!You have completed the tutorial on Real Numbers!! Congratulations!!