REAL NUMBERS 2. The rational number, which

REAL NUMBERS _____

1. Represent as a common fraction the decimal 24.28 137 . 2. The rational number, which equals the number 2.357 with recurring

decimal is a)

2355 1001

b)

2379 997

c)

2355 999

d) none of these

3. Which of the following is not an irrational number? a) 2

b) 3

c) 4

d) 5

4. The number whose decimal expansion is non terminating and non- recurring is a) rational number

b) irrational number

c) any real number

d) none of these

_

5. Express 0.4 7 in the form of

p , where p and q are integers. q

6. Write one rational number and two irrational numbers between 7. Represent 5.3 on the number line. 8. Represent 13 on the number line. 9. Express in the simplified form. ii) 4 16 x 6 y 9

i) 32 iii) 27 v) 9



4 3

iv) 8

2 3

3 2

10. Simplify: i) 5 45  20

ii) 27  3 75  2 12

5 9 and . 11 7

iii) 5 24  4 32  3 18  2 54 v) 240  40

iv) 2  2  4 2  8 2 11. Express as roots of rational numbers:

ii) 5 3  4 2 3 3  2 2 

i) 4 20  80 3



1

1

4

iii) 2 4  3 2  4 8  9 3 12.

7

5 3   2 14

14

153

Rationalize the denominator of: i) iii) v)

13.

ii)

1

5 3

ii)

5 3 3 2 2 5

iv)

3 5 4 2

5 3

1 1 2  3

2 2 3 5

Let T=

1 3 8



1 8 7



1 7 6



1 6 5



1 52

;

then A) T < 1

B) T = 1

C) 1 < T < 2

D) T=

1

E) T > 2

(3  8 ) ( 8  7 ) ( 7  6 ) ( 6  5 ) ( 5  2)