• # What is an integer?

Vladislav Meriin
December 18, 2012
14977

In mathematical theory and assignments, such a thing as “integer” is often found. Often, on the basis of this concept, a solution of the problem is constructed, or a proof of a certain statement. If the student does not know what an integer is, he may not understand the essence of the proof or he will not solve the problem.

In fact, an integer can be called any number that has no fractional part. Thus the numbers 3, 8, 456, -12, 0, -500 will be integers. In contrast, numbers like 3.5 or 3? can not be called integers, because they have a fractional part.

If we turn to the definition of the term “integer” for a mathematical theory, we get the following statement: “Integers are numbers that can be obtained as a result of subtracting and adding natural numbers”. Recall that natural numbers are the ones we use when counting: 1, 2, 3, and so on.

This statement can be very easily verified. For example, to get 5, you need to add 2 and 3. To get -5, we need to subtract 10 from 5.

Often people, having learned what a “simple number” is, are interested in whether the number 0 is prime.If you follow the first rule specified in the article, the number 0 is simple, because it has no fractional part.

The second rule also confirms this: you can get the number 0 if you subtract it from the natural number, that is, subtract 2 from 2, 3 from 3 and so on.

Solving math problems, pay attention to the condition: if it is indicated that a certain number is an integer, then this, essentially, can influence the decision.

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