Ques1. 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:
Ques3. 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
48 videos378 docs65 tests

1. What is the number system in mathematics? 
2. What are the different types of number systems? 
3. How do you convert numbers between different number systems? 
4. What is the importance of the number system in everyday life? 
5. How do number systems relate to reallife applications? 
48 videos378 docs65 tests


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