They are the numbers that can be expressed as fractions such as: 2.11, 2.12, 2,13 ... etc
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The average of the two will be rational and it will be between them.
3.1 is a rational number because it is a terminating decimal that can be expressed as an improper fraction in the form of 31/10
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.
Yes. Take the average of the two numbers. Since those two numbers are rational, their average will also be rational.
Root 2 is appx. 1.414 and root 3 is appx. 1.732. There are many rational number between that. For instance: 1.5, 1.6, etc.