Algebra and Trigonometry III by: Mr Pol Ogrimen Jr.

REAL NUMBER RATIONAL IRRATIONAL INTEGERSNON INTEGERS NEGATIVE …, – 3, – 2, – 1 WHOLE ZERO 0 + Integers Counting or Natural numbers 1, 2, 3, 4, 5, … FRACTION: ½; ¾ 1/3; 2/11 DECIMAL Terminating: 0.5 ; 0.75 Non-terminating : 0.333…; … but repeating DECIMAL: Non-terminating and non-repeating Ex. Radical; Pi; e,, …

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. Exercises: never sometimes always always never sometimes sometimes never never always

C.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. Exercises: False False True False False True True True False True

D. Find the possible solution of the following equations: 1) 2x – 5 = 15 ________________ 2) 2( 3x – 1 ) = 7 ________________ 3) x = 34 ________________ 4) x 2 – 3x = 4 ________________ 5) 3x = 0 ________________ Exercises: 1) X = 10 2) X = 3/2 3) X = -5 and 5 4) X = -1 and 4 5) Is it possible ?

End of Session