Find five rational numbers between 1 and 2
Before finding rational numbers between 1 and 2 we first know what are rational numbers?
What are Rational Numbers?
A number that can be expressed in the form ‘p/q’, where ‘p’ and ‘q’ are integers, and ‘q’ is not equal to zero are called Rational Numbers.
It can be expressed as p/q, where q ≠0
For example, 2/10 is a rational number because both 2 and 10 are integers, and 10 is not zero, so it qualifies as a rational number.
Rational Numbers Between 1 and 2:
To find five rational numbers between 1 and 2, we can utilize a method based on averages. By taking the average of consecutive numbers within the given range, we can identify rational numbers that lie between 1 and 2.
Step-by-Step Approach:
- Start with Endpoints 1 and 2
- Calculate Average of 1 and 2
(1 + 2)/2 = 3/2 = 1.5
3. Repeat Process
Average of 1.5 and 2: (1.5 + 2) / 2 = 5/3 ≈ 1.667
Average of 5/3 and 2: (5/3 + 2) / 2 = 7/4 = 1.75
Average of 7/4 and 2: (7/4 + 2) / 2 = 9/5 = 1.8
Average of 9/5 and 2: (9/5 + 2) / 2 = 11/6 ≈ 1.833
So, by following this method, we have identified the five rational numbers between 1 and 2 that is 3/2, 5/3, 7/4, 9/5, and 11/6.
Last Updated :
05 Mar, 2024
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