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# Very Short Answers - Number System Class 9 Notes | EduRev

## Class 9 Mathematics by Full Circle

Created by: Full Circle

## Class 9 : Very Short Answers - Number System Class 9 Notes | EduRev

The document Very Short Answers - Number System Class 9 Notes | EduRev is a part of the Class 9 Course Class 9 Mathematics by Full Circle.
All you need of Class 9 at this link: Class 9

Ques 1. What is the value of (23)2?
Solution:
(23)2 =23x2                                       [∵ (xm)n = xm.n]
=26
=2 x 2 x 2 x 2 x 2 x 2 = 64
Ques 2. What is the value of Solution: Ques 3. Which of the following are irrational numbers? Solution: and π are irrational numbers.
Ques 4. Which of the following are rational? Solution: 1, 0, 3.14 and are rational numbers.
Ques 5. Which of the following cube roots is not irrational? Solution: is not an irrational number. Ques 6. Which three integers are equal to their own cube roots?
Solution:
–1, 0 and 1  Ques 7. Is the following number rational or irrational? 0.0769230769230769230...
Solution:
The given number is rational.               [∵ “076923” repeats]
Ques 8. Is 0.666 ...a “non-terminating rational” or “non-terminating recurring rational number”?
Solution:
Non-terminating rational number.
Ques 9. Is 1.27 27 27 ... non-terminating recurring or non-terminating non-recurring number?
Solution:
It is a non-terminating recurring rational number.
Ques 10. The decimal representation of is 1.73205807... . Is it non-terminating nonrecurring?
Solution:
Yes
Ques 11. Is the product of a rational and an irrational number, rational?
Solution:
No. It is an irrational number.
Ques 12. Write the smallest non-negative integer.
Solution:
‘0’ Question
13. Write the smallest positive integer.
Solution:
1 Question
14. Up to how many decimal places, π and are same?
Solution:
π and are same only up to 2 decimal places.
[∵ = 3.142857142... and π =3.141592653589...]
Ques 15. Which of the following is irrational?   Solution: is irrational.

Ques 16. Which of the following is the value of 0.999... expressed as p/q :
(i) 9/10       (ii)  1      (iii)   999/1000
Solution: 0.999... = 1
Ques 17. What is a terminating decimal?
Solution:
The number with a finite decimal part are known as terminating decimal.
Example: 0.375 is a terminating decimal.
Note: If we express a rational number as a decimal number and remainder becomes zero after certain stage, then the decimal expansion is terminating.

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