Algebra and Trigonometry III by: Mr Pol Ogrimen Jr.

REAL NUMBER

RATIONAL IRRATIONAL

INTEGERS NON INTEGERS

NEGATIVE…, – 3, – 2, – 1

WHOLE

ZERO0

+ IntegersCounting or

Natural numbers1, 2, 3, 4, 5, …

FRACTION:

½; ¾ 1/3; 2/11

DECIMAL Terminating: 0.5 ; 0.75 Non-terminating : 0.333…; 0.181818… but repeating

DECIMAL: Non-terminating and non-repeating Ex. Radical; Pi; e

, ,

3.14159…7

A. From the set of numbers list all that are: 

1) rational numbers ________________2) whole ________________3) integer ________________4) real ________________5) irrational ________________

},8,2

12,3,0,

5

2,3{

Exercises:

}8,2

12,0,

5

2,3{)1

}8,0{)2

}8,0,3{)3

},8,2

12,3,0,

5

2,3{)4

},3{)5

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) x2 + 9 = 34 ________________4) x2 – 3x = 4 ________________5) 3x2 + 3 = 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