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Natural numbers and integers

The positive whole numbers are the numbers that we use for counting. They are called the natural numbers.

$$1$$ and $$10$$ are natural numbers. $$3.2$$, $$1/4$$ and $$-1$$ are not.

The positive and negative whole numbers are collectively called integers.

$$-1$$, $$-10$$ and $$5$$ are integers. $$-1/3$$ and $$2.4$$ are not

The set of the natural numbers is written as $$\mathbb{N}$$. The set of the integers is written as $$\mathbb{Z}$$.

There are infinitely many integers.

This Babylonian clay tablet shows arithmetic using natural numbers. Babylonians also used fractions and square roots, but no negative numbers or zero.
This Babylonian clay tablet shows arithmetic using natural numbers. Babylonians also used fractions and square roots, but no negative numbers or zero.