10
25
10-2
5 √5 + √5
25:2 15 ✓s
5, which is an irrational number
C
(iv) (V2 + 2) - (12) +2.12 2+2 = 2 + 1 2 + 4
-6+472, which is an irrational number
Step
Ste
EXERCISE - 1.2
1. Classify the following numbers as rational or irrational.
(1) 27
(ii) 441
S
(ii) 30.232342345...
S
(iv) 7.484848...
(v) 11.2132435465
2. Give four examples for rational and irrational numbers?
(vi) 0.3030030003.....
3. Find an irrational number between
7
5
7
and
How many more there may be?
4. Find two irrational numbers between 0.7 and 0.77
5. Find the value of 5 upto 3 decimal places.
6. Find the value of 7 up to six decimal places by long division method.
7. Locate 10 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.
( Every irrational number is a real number.
(i) Every rational number is a real number.
(ii) Every real number need not be a rational number
(iv) Vn is not irrational if n is a perfect square.
(v) Vn is irrational ifn is not a perfect square.
(vi) All real numbers are irrational.
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