QUIZ 1: Properties of sets, real, and rational numbers

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MQ5 QUEST 1A (answers below)                                                                 Mr. Gary Jaye

INSTRUCTIONS: 1. Express all answers in simplest form.
 

1. On the other side of the page, draw the real number tree. 
       

 

2. In a. to e., classify the number as specifically as possible: N, Q, R, W, Z, not Q
a. -25/5 Î?? d. 0 Î??
b. -5/25 Î?? e.  49/72 Î??
c. Ö3/2 Î??  

 

3. In a. to c., answer true or false (T or F)
a. 22 / 7 =  p:
b. No element in Z has a multiplicative inverse in Z:
c. No element in N has an additive inverse in N:

 

4. Complete the set construction of the set of rational numbers below. 
  {x: x =
     

 

5. In a. to c., fill in the answer.
a. All rational numbers have decimals which are: 
 
b. All irrational numbers have decimals which are: 
 
c. Two different symbols for the null set are: 
 

 

6. In a. to c., fill in the resulting set.
a. {a, b, c} Ç  {c, d, e}: 
     
b. {a, b, c} È {c, d, e}: 
         
c. {a, b} Ç  {c, d}: 
         

 

 In 7 to 9, express the quantity as a ratio of integers in lowest terms. SHOW ALL WORK
7. 3.15 
 
8. 4.7575... 
 
 
9.  .277... (only the 7s repeat) 
 
 

 

ANSWERS:  1. see notes 2a.  -5 Î Z  2b. -1/5 Î Q   2c. Ö3/2 Î irrationals  2d. 0 Î W  2e. Î N  3a. F
3b. F   3c. T  4. Q = {x: x = p/q and p, q ÎZ,  and q ¹ 0} 5a. terminating OR repeating
5b. non-terminating AND non-repeating  5c. {}, Æ  6a.{c}  6b. {a, b, c, d, e}  6c. {}  7. 63/20
8. 157/33  9. 5/18

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