Question

EXERCISE 9.1
1. List five rational numbers between:
- 2
(i) -1 and 0
(ü) -2 and -1
(1)
-4
and
5
(iv)
مریم
1 2
and
2 3
3​

Answer 1

Answer:

Let x = -1 ; y = 1 y > x ; n = 5 d = y - x / n + 1 = 1 - (-1) / 5 + 1 = 1 + 1/6 = 2/6 = 1/3 1st rational number = x + d = -1 + 1/3 = -3 + 1/3 = -2/3 2nd rational number = x + 2d = -1 + 2 × 1/3 = -1 + 2/3 = -3 + 2/3 = -1/3 3rd rational number = x + 3d = -1 + 3 × 1/3 = -1 + 1 = 0 4th rational number = x + 4d = -1 + 4 × 1/3 = -1 + 4/3 = -3 + 4/3 = 1/3 5th rational number = x + 5d = -1 + 5 × 1/3 = -1 + 5/3 = -3 + 5/3 = 2/3

Step-by-step explanation:

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