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The set of integers arises when you try to subtract a larger number from a smaller one. For example, . The set of integers includes the following:

 The counting numbers

 Zero

 The negative counting numbers

Here’s a partial list of the integers:

Like the counting numbers, the integers are closed under addition and multiplication. Similarly, when you subtract one integer from another, the answer is always an integer. That is, the integers are also closed under subtraction.