What are the first 10 natural numbers

Natural numbers

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The natural numbers are the first numbers we come into contact with. They are first used to count things.

The numbers are called "natural" because they come about naturally.

Children usually use their fingers when counting. The number of fingers is given a number sign:

  • Automobile,
  • Apples,
  • Piece of cake,
  • Cups,
  • lollipop
  • Pencils,
  • Houses,
  • Trees,
  • Tables,
  • Chairs

The natural numbers are represented with the digits.

Examples of natural numbers:

Every natural number has a successor. For example, the number has the successor or the number has the successor.

The natural numbers can be counted with. You always add to the previous number. Incidentally, this can be continued indefinitely, no matter how large the number is chosen. The sign for "infinite" is (a lying eight).

Since every natural number always has a successor (with), there are an infinite number of natural numbers.

We use this as an abbreviation for the set of natural numbers character.

Set notation

The symbol is used to represent belonging to a group and the symbol to express that the element does not belong to a group.

Here are a few examples of the number sets:

  • → We say: "is an element of natural numbers."
  • → We say: "is an element of natural numbers."
  • → We say: "is not an element of natural numbers."
  • → We say: "is not an element of natural numbers."

Zero as a natural number

The interesting question is whether the number is a natural number and thus belongs to the set of natural numbers.

In fact, there is still no clear definition of whether it contains or not.

Therefore, write a subscript to the to make it clear that it is included in the set of numbers. The sign is:.

Here is an overview of the possible definitions:

  • → it is included. Starts at:
  • → it is not included. Starts at:
  • → it is not included. Starts at:
  • → it may or may not be included. (Note: It is included with Matheretter.)

The natural numbers are written down as a set as follows:

or

Side notes:

With one can also speak of all “positive whole numbers”, while with one speaks of all “non-negative whole numbers”. Reason: The number is neither positive nor negative.

By the way, we don't need any signs or commas or the like to write natural numbers.