Grade 9 - Number-System

(Sample Printed worksheet)

Answer The Following

1)if  
-5
X
  =  
X
5
 , then X is ________ a rational number
2)Find the 5 rational numbers between  
1
8
  and  
7
8
 .
3)Examine if the following numbers are rational or irrational.
A) 
B) 
C) 
4)if  
6
-10
  =  
-24
X
 , then X = ___________
5)Find 9 rational numbers between  
-1
16
  and  
11
16
 .

Fill in the blanks

6)The rational number that is equal to its negative is .

Choose correct answer(s) from given choice

7)Choose an irrational number among the following :
a.  
7
4
 
b. 4
c. -4 d.
8)Which of the following statement is true ?
a.  
7
-10
  <  
-35
50
 
b.  
7
-10
  =  
-35
50
 
c.  
7
-9
  >  
7
-10
 
d.  
7
-10
  >  
-35
50
 
9)The product of two irrational numbers is ________________
a. an irrational number b. a rational or an irrational number
c. neither rational or irrational number d. a rational number
10)A fraction  
P
Q
  can be expressed as a terminating decimal, if "Q" has no prime factors other than

a. 2, 3 b. 5, 7
c. 3, 5 d. 2, 5

Answers

1) not

2)  
1
2
  ,  
1
3
  ,  
1
4
  ,  
1
5
  ,  
1
6
  , (Answers can vary).

3)
A) Rational
B) Irrational
C) Rational

4) 40

5)  
0
16
 ,  
1
16
 ,  
2
16
 ,  
3
16
 ,  
4
16
 ,  
5
16
 ,  
6
16
 ,  
7
16
 ,  
8
16
 
Step 1
A rational number is a number of the form  
p
q
 , where p and q are integers, and q≠0
Step 2
A simple way of getting 9 rational numbers between  
-1
16
  and  
11
16
  is to leave the denominator the same, and use the integers between -1 and 11 for the numerator

6)  
7) d.
8) b.  
7
-10
  =  
-35
50
 

9) b. a rational or an irrational number
Step 1
The right answer is that it could be either. This can be seen with the help of an example
Step 2
A) Consider the two irrational numbers and . Their product = x =
is an irrational number
Step 3
B) Consider the two irrational numbers and .
   Their product = x = 12 + 2 = 1 + 9 = 10.
10 is a rational number

10) d. 2, 5
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