Scroll:Numbers >> Identify rational and irrational numbers >> mcq (4099)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

  • Is
  • 2
    3
    8
  • a
  • rational
  • number





(                    )




2)  

 Which of the following is a rational number






 
 


(                    )




3)  

 Which of the following describe 4.557 Select all that apply.

 



(                    )




4)  

 Is   56  a rational number




(                    )




5)  

  • Is
  • 3
    5
    9
  • a
  • rational
  • number





(                    )




6)  

 Which of the following is a rational number






 
 


(                    )




7)  

 Which of the following describe 4.445 Select all that apply.

 



(                    )




8)  

 Is   46  a rational number




(                    )




9)  

  • Is
  • 3
    2
    9
  • a
  • rational
  • number





(                    )




10)  

 Which of the following is a rational number






 
 


(                    )




 

1)  

  • Is
  • 2
    3
    8
  • a
  • rational
  • number



Answer: 2



SOLUTION 1 :

 Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals, rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero).When writtenas decimals, irrational numbers do not terminateor repeat.

Solve:

  • 2
    3
    8
  • can
  • be
  • written
  • as
  •  
    19
    8
    ,
  • which
  • is
  • a
  • fraction. So,
  • 2
    3
    8
  • is
  • a
  • rational
  • number.


2)  

 Which of the following is a rational number





Answer: 2


 
 


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
1 can be written as 11  which is afraction. So,1 is a rational number.
 
4 can be written as 41  which is afraction. So,4 is a rational number.
 
9 can be written as 91  which is afraction. So,9 is a rational number.
 
the rational numbers are 1, 4, 9 
 
So, answer is all the choice is correct
 

 



3)  

 Which of the following describe 4.557 Select all that apply.

 


Answer: 1


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
 
4.557 is a terminating decimal. So, 4.557 is a rational number.
 
Since 4.557 is a rational number,it is not an irrational number.


4)  

 Is   56  a rational number



Answer: 1


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
 
56  is a fraction. So, 56  is a rationa lnumber.


5)  

  • Is
  • 3
    5
    9
  • a
  • rational
  • number



Answer: 2



SOLUTION 1 :

 Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals, rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero).When writtenas decimals, irrational numbers do not terminateor repeat.

Solve:

  • 3
    5
    9
  • can
  • be
  • written
  • as
  •  
    32
    9
    ,
  • which
  • is
  • a
  • fraction. So,
  • 3
    5
    9
  • is
  • a
  • rational
  • number.


6)  

 Which of the following is a rational number





Answer: 2


 
 


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
2 can be written as 21  which is afraction. So,2 is a rational number.
 
6 can be written as 61  which is afraction. So,6 is a rational number.
 
9 can be written as 91  which is afraction. So,9 is a rational number.
 
the rational numbers are 2, 6, 9 
 
So, answer is all the choice is correct
 

 



7)  

 Which of the following describe 4.445 Select all that apply.

 


Answer: 2


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
 
4.445 is a terminating decimal. So, 4.445 is a rational number.
 
Since 4.445 is a rational number,it is not an irrational number.


8)  

 Is   46  a rational number



Answer: 1


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
 
46  is a fraction. So, 46  is a rationa lnumber.


9)  

  • Is
  • 3
    2
    9
  • a
  • rational
  • number



Answer: 1



SOLUTION 1 :

 Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals, rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero).When writtenas decimals, irrational numbers do not terminateor repeat.

Solve:

  • 3
    2
    9
  • can
  • be
  • written
  • as
  •  
    29
    9
    ,
  • which
  • is
  • a
  • fraction. So,
  • 3
    2
    9
  • is
  • a
  • rational
  • number.


10)  

 Which of the following is a rational number





Answer: 1


 
 


SOLUTION 1 :

Rember:

Rational numbers can be writtenas ab

(where a and b are integers and b is not zero).When written as decimals , rational numbers terminate or repeat.

Irrational numbers cannot be written as ab
( where a and b are integers and b is not zero). When written as decimals , irrational numbers do not terminateor repeat.
 
Solve:
1 can be written as 11  which is afraction. So,1 is a rational number.
 
5 can be written as 51  which is afraction. So,5 is a rational number.
 
7 can be written as 71  which is afraction. So,7 is a rational number.
 
the rational numbers are 1, 5, 7 
 
So, answer is all the choice is correct