Grade 8 - Rational-Numbers

(Sample Printed worksheet)

Answer The Following

1)Find the multiplicative inverse of following
A)  
-7
16
 
B)  
12
23
 
C)  
-4
3
 
D)  
-3
11
 
2)What is the smallest rational number that can be formed using 2 of the numbers below in the form of  
p
q
 ?
434, 769, 203, 933, 175, 355
3)Find the 7 rational numbers between  
3
9
  and  
2
14
 .
4)Find the following and simplify it to lowest term:
A)  
2
23
  X  
-8
2
  X  
-3
16
  X  
-5
13
 

B)  
5
6
  X  
8
16
  X  
-9
15
  X  
4
13
 

5)Is  
6
9
  the multiplicative inverse of  
13
6
  ? Why or why not ?

Fill in the blanks

6)Add the following rational numbers
A)  
9
38
  +  
28
38
  =  
 
 
 
B)  
10
27
  +  
5
27
  =  
 
 
 
C)  
6
27
  +  
9
27
  =  
 
 
 
7)The difference between the greatest and the least numbers of  
-9
16
 ,  
-5
4
 ,  
7
16
 ,  
8
13
  is  
  .
8)Find the following and simplify it to lowest term:
A)  
-4
10
  +  
-9
2
  +  
2
11
  =  
 
 
 

B)  
7
8
  +  
7
11
  +  
-3
8
  +  
-7
3
  +  
4
6
  =  
 
 
 

Choose correct answer(s) from given choice

9)What is the relation of  
23
31
  to  
31
23
  described as
a. Multiplicative Identity b. Additive Inverse
c. Multiplicative Inverse d. Additive Identity
10)Which of the following statement is true ?
a.  
3
-9
  =  
-6
18
 
b.  
3
-9
  >  
-6
18
 
c.  
3
-8
  >  
3
-9
 
d.  
3
-9
  <  
-6
18
 

Answers

1)
A)  
16
-7
 
B)  
23
12
 
C)  
3
-4
 
D)  
11
-3
 

2)  
175
933
 

3)  
5
21
  ,  
10
63
  ,  
5
42
  ,  
2
21
  ,  
5
63
  ,  
10
147
  ,  
5
84
  , (Answers can vary).

4)
A)  
-15
598
 
B)  
-1
13
 

5) Yes - The product or fraction and its multiplicative inverse must be equal to 1.

6)
A)  
9
38
  +  
28
38
  =  
 
 
 
B)  
10
27
  +  
5
27
  =  
 
 
 
C)  
6
27
  +  
9
27
  =  
 
 
 

7)   
8)
A)  
-4
10
  +  
-9
2
  +  
2
11
  =  
 
 
 

B)  
7
8
  +  
7
11
  +  
-3
8
  +  
-7
3
  +  
4
6
  =  
 
 
 


9) c. Multiplicative Inverse
10) a.  
3
-9
  =  
-6
18
 

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