Question

1. Find six rational numbers between
a) 3 and 4
b) 3/5 and 8/5
c) 2/3 and 5/2
2. Find: a) 641/2
b) 1251/3
3. Find a) 93/2 b) 322/5 c) 125-1/3
4. Simplify:
a) 22/3×21/5
b) 111/2÷111/4
5. Write coefficients of x2 in each of following-
a) 2+ x2+x
b) 2x-1
c) 2- x2+x3

Answer 1

Answer:

1.

a) 3×7 and 4×7

21 and 28

22,23,24,25,26,27

b)3/5 and 8/5

3 × 7 and 8 × 7

5 7 5 7

21 and 28

35 35

22 , 23 , 24 ,25 ,26 ,27

35 35 35 35 35 35

c)2/3 and 5/2

2 × 20 and 5 × 30

3 20 2 30

40 and 150

60 60

41, 42, 43 ,44 ,45 ,46 .......

60 60 60 60 60 60

2.

a)=641/2

=320.5

b)=1251/3

=417

3.

a)=93/2

=46.5

b)=322/5

=64.4

c)=125-1/3(LCM =3)

=125×3 - 1

3 3

= 375 - 1

3 3

= 375 - 1

3

= 374

3

4.

a)=22/3 × 21/5(LCM=15)

= 22×5 × 21×3

15 15

= 110 × 63

15 15

= 6930

15

= 462

b)=111/2÷111/4(LCM=4)

= 111×2 ÷ 111

4 4

= 222÷111

4

= 2

4

= 1 (or) =0.5

5.

a)x^2=1

b)x^2=0

c)x^2=-1

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