Question

1.2
1. Classify the following numbers as rational or irrational.
(1) 27
(ü) 441
(ii) 30.232342345...
(iv) 7.484848...
(v) 11.2132435465
2. Give four examples for rational and irrational numbers?
(vi) 0.3030030003.....
5 7
3. Find an irrational number between and
7 9
How many more there may be?
4. Find two irrational numbers between 0.7 and 0.77
5. Find the value of 15 upto 3 decimal places.
6. Find the value of V7 up to six decimal places by long division method.
7. Locate V10 on the number line.
8. Find atleast two irrational numbers between 2 and 3.
9. State whether the following statements are true or false. Justify your answers.
(1) Every irrational number is a real number.
(l) Every rational number is a real number.
(iii) Every real number need not be a rational number
(iv) Vn is not irrational ifn is a perfect square.
3 3 3
Vn is irrational ifn is not a perfect square.
(vi) All real numbers are irrational​

Answer 1

Answer:

1 (I) rationl

(ii) rational

(iii) irrational

(iv) rational

(v) irrational

(vi) irrational

Answer 2

Answer:

1QA;27 = 3√3 is irrational

Reason : √3 is irrational number.

ii) √441 = 21 is rational

Reason : 21 is natural number.

iii) Not rational

iv) 7.4848..... is rational

Reason : can be written in p/q form

v) 11.213243..... irrational

Reason : Decimal expansion not follow any pattern

vi) not rational