The document Long Answers - Number System Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.

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**Ques 1: Find six rational numbers between 1 and 2. Solution:** Let x = 1 and y = 2

⇒ y > x

Here n = 6

∴

∴ The six rational numbers between 1 and 2 are: (x + d), (x + 2d), (x + 3d), (x + 4d), (x + 5d) and (x + 6d).

**Ques 2: Find five rational numbers between 0.6 and 0.8. Solution:** Let x = 0.6 and y = 0.8

⇒ y > x Here, n = 5

∴

Now, the five rational numbers between 0.6 and 0.8 are: (x + d), (x + 2d), (x + 3d), (x + 4d), and (x + 5d).

Thus, the required five rational numbers between 0.6 and 0.8 are:

**Ques 3. If ‘a’ and ‘b’ are rational numbers and ****, then find the value of ‘a’ and ‘b’. Solution:**

Now

⇒ a + b√8 = 17 +6√8

⇒ a = 17 and b = 6

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