Find Five Rational Numbers Between 1 and 2

To find 5 rational numbers between any two numbers, let’s call them a and b, with a<b, you can follow a systematic approach. One of the simplest methods is to calculate the average (or midpoint) of a and b and then continue finding midpoints between these numbers until you have the desired amount of rational numbers.

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 is called Rational Number.

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.

Read More: Rational Number | Definition, Examples and Worksheet.

Five 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.

Steps to Find Five Rational Numbers Between 1 and 2

The below 3 steps should be followed to find 5 rational numbers between 1 and 2:

Step-by-Step Approach:

1. Start with Endpoints 1 and 2
2. Calculate the 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.

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• Rational and Irrational Numbers
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Practice Problems on Find Rational Numbers between Two Numbers

1. Find 5 rational numbers between 2 and 3.

2. Find 5 rational numbers between -3 and -2.

3. Find 5 rational numbers between 0.5 and 0.6.

4. Find 5 rational numbers between -2 and 5.