Q 11 :    

In a classroom activity on real numbers, the students have to pick a number card from a pile and frame, question on it, if it is not a rational number for the rest of the class. Thenumber cards picked up by first 5 students and their questions on the numbers for the rest of the class are as shown below. Answer them:

Q: Shreya picked up 'BONUS' and her question was: Which of the following is not irrational?

  • 3 - 45

     

  • 7 - 6

     

  • 2 + 29

     

  • 411     6

     

(2)

Explanation: Here, 9 = 3. So, 2 + 29 = 2 + 6 = 8, Which is not irrational.

 



Q 12 :    

In a classroom activity on real numbers, the students have to pick a number card from a pile and frame, question on it, if it is not a rational number for the rest of the class. Thenumber cards picked up by first 5 students and their questions on the numbers for the rest of the class are as shown below. Answer them:

Q: Ananya picked up 5 - 10 and her question was: 5 - 10 is __________ number.

  • a natural

     

  • an irrational

     

  • a whole

     

  • a rational

     

(2)

Explanation: Here 5 and 10 are both irrational and difference of two irrational numbers is also irrational.

 



Q 13 :    

In a classroom activity on real numbers, the students have to pick a number card from a pile and frame, question on it, if it is not a rational number for the rest of the class. Thenumber cards picked up by first 5 students and their questions on the numbers for the rest of the class are as shown below. Answer them:

Q: Suman picked up 15 and her question was: 15 is ______ number.

  • a whole

     

  • a rational

     

  • an irrational

     

  • a natural

     

(3)

Explanation: As 5 is irrational, so its reciprocal is also irrational.

 



Q 14 :    

In a classroom activity on real numbers, the students have to pick a number card from a pile and frame, question on it, if it is not a rational number for the rest of the class. Thenumber cards picked up by first 5 students and their questions on the numbers for the rest of the class are as shown below. Answer them:

Q: Preethi picked up 6 and her question was: Which of the following is not irrational?

  • 15 + 36

     

  • 24 - 9

     

  • 5150

     

  • None of these

     

(4)

Explanation: We know that 6 is irrational.

So, 15 + 36 is irrational.

Similarly, 24 - 9 = 26 - 9 is irrational, and 5150 = 5 × 56 = 256 is irrational.