— formally called theThe Basic Counting Numbersnatural numbersor thepositive integers.

— formally known asThe counting-in-place numberZero.

orThe counting-backward numbers— adding thecounting-down numbersnegative integers,together we have theintegers.

that is, numbers for counting up and down or forward, backward and in place or sideways. Formally called theThe Expanding Counting Numbers,, these numbers consist of the natural numbers, zero and negative integers. They appear in discrete, fixed interval.integers

— adding theThe Measuring Numbersfractions, together we have therational numbers.

— adding theEstimating Numbersirrational numbers,together we have thereal numbers.

— adding theSpatial Numbersimaginary numbers,together we have thecomplex numbers.

These numbers include all the previous number and then they add the imaginary numbers, which are the result of taking the square root of the negative numbers.The imaginary numbers exist in the plane. That is, an imaginary number does not lie on the number line but rather in the two-dimensional space.

The Numbers' Tree

The Numbers' Venn Diagram

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Last Update: Nov. 26, 2005