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A rational number is any number that, when put into decimal form, terminates after a finite amount of digits OR begins to repeat the same pattern of digits.

An easy way to find rational numbers is that any number that can be expressed in a fraction (1/2, 9/4, etc) of two integers.There is an infinite number of rational numbers between any two rational numbers. For example, say we have the numbers 1 and 2. What if you add them and divide by 2? Is that a rational number? Is it between 1 and 2?

And to see that there is an infinite number of numbers between 1 and 2, take the number you just found, it is 3/2, now find a number between it and 2. You can keep doing this.

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