Question

Find three rational numbers between: (i) -1 and -2 (ii) 0.1 and 0.11 (iii) 5/7 and 6/7 (iv) 1/4 and 1/5

Answer 1

( i) - 1 & -2
multiplying both the integers by 5..
- 5& -10
three rational no.s between - 5 & - 10..

-6, -7, -8..
(ii) 0.1 & 0.11
1 / 10 & 11/ 100
to make the denominator same we will multiply 1 / 10 by 10
1 / 10 × 10 /10 = 10 /100
now we have...{.10 /100 & 11 / 100 } × 8
80 / 800 & 88/ 800
81/ 800, 82/ 800, 85/800 ans .
iii. 5/7 & 6/7
multiplying it by 5
5 / 7 × 5/5 & 6 / 7× 5/5
25/ 35 & 30 / 35
21/ 35, 22/35, 24 / 35 ans.
iv . 1 / 4 & 1/ 5
taking LCM of 4 and 5
5 / 20 & 4 / 20
multiply it by 10
50/ 200 & 40/ 200
41/ 200 , 42/ 200, 43/ 200 ans.

Answer 2

Answer:

( i) - 1 & -2

multiplying both the integers by 5..

- 5& -10

three rational no.s between - 5 & - 10..

-6, -7, -8..

(ii) 0.1 & 0.11

1 / 10 & 11/ 100

to make the denominator same we will multiply 1 / 10 by 10

1 / 10 × 10 /10 = 10 /100

now we have...{.10 /100 & 11 / 100 } × 8

80 / 800 & 88/ 800

81/ 800, 82/ 800, 85/800 ans .

iii. 5/7 & 6/7

multiplying it by 5

5 / 7 × 5/5 & 6 / 7× 5/5

25/ 35 & 30 / 35

21/ 35, 22/35, 24 / 35 ans.

iv . 1 / 4 & 1/ 5

taking LCM of 4 and 5

5 / 20 & 4 / 20

multiply it by 10

50/ 200 & 40/ 200

41/ 200 , 42/ 200, 43/ 200 ans.

Step-by-step explanation:

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