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Algebra and Trigonometry III by: Mr Pol Ogrimen Jr. ,. REAL NUMBER. ,. RATIONAL. IRRATIONAL. DECIMAL: Non-terminating and non-repeating Ex. Radical; Pi; e. INTEGERS. NON INTEGERS. NEGATIVE …, – 3, – 2, – 1. WHOLE. FRACTION: ½; ¾ 1/3; 2/11.
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, REAL NUMBER , RATIONAL IRRATIONAL DECIMAL: Non-terminating and non-repeating Ex. Radical; Pi; e INTEGERS NON INTEGERS NEGATIVE…, – 3, – 2, – 1 WHOLE FRACTION:½; ¾ 1/3; 2/11 3.14159… DECIMAL Terminating: 0.5 ; 0.75 Non-terminating : 0.333…; 0.181818… but repeating + IntegersCounting orNatural numbers1, 2, 3, 4, 5, … ZERO0
Exercises: A. From the set of numbers list all that are: 1) rational numbers ________________ 2) whole ________________ 3) integer ________________ 4) real ________________ 5) irrational ________________
Exercises: B. Fill the blanks with always, sometimes or never to make each statement true. 1. A rational number is _________ an irrational number. 2. An integer is___________ a whole number. 3. An integer is ___________ a rational number. 4. Zero is ___________ a real number. 5. A whole number is ___________ an irrational number. 6. A real number is ___________ an irrational number. 7. A rational number is ___________an integer. 8. A negative integer is ___________a whole number. 9. An irrational number is __________an integer. 10. A rational number is ___________ a real number. never sometimes always always never sometimes sometimes never never always
Exercises: • Answer True or False. Don't guess. • It's right minus wrong! • _____ 1.) Some integers are not real numbers. • _____ 2.) Every whole number is positive. • _____ 3.) Some real numbers are not rational. • _____ 4.) The number zero is irrational. • _____ 5.) Every integer is a whole no. • _____ 6.) Not every rational number is positive. • _____ 7.) All whole numbers are integers. • _____ 8.) Every integer is a rational number. • _____ 9.) Some whole numbers are irrational. • _____ 10.) Some irrational numbers are negative. False False True False False True True True False True
Exercises: D. Find the possible solution of the following equations: 1) 2x – 5 = 15 ________________ 2) 2( 3x – 1 ) = 7 ________________ 3) x2 + 9 = 34 ________________ 4) x2 – 3x = 4 ________________ 5) 3x2 + 3 = 0 ________________ 4) X = -1 and 4 1) X = 10 2) X = 3/2 5) Is it possible ? 3) X = -5 and 5