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We can look at real numbers as the biggest set. Then some real numbers can be written as fractions. Those are rational numbers and that is a subset of reals. Some cannot be written as fractions and those are irrationals, another subset of the reals.
Now those that are rational might have a denominator of 1 such as 3/1 of -3/1. These are a subset of the rationals and hence of the reals. They are called integers. Now if we look at 0 and the positive integers, these are the whole numbers. If we get rid of 0, these are the natural numbers.

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