How Do Different Categories of Numbers Compare To Each Other?

How Do Different Categories of Numbers Compare To Each Other?

Note:

There are a bunch of different categories of numbers such as the rational numbers, the natural numbers, and the integers, just to name a few. See how they all relate to one another by watching this tutorial!

Keywords:

definition

number categories

category

categories

types

number types

real

irrational

rational

integers

whole numbers

natural numbers

Background Tutorials

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

Is an irrational number just a way to describe a number that's lost its mind? Not really. :) An irrational number is simply a number that cannot be written as a fraction. Check out the definition, learn an important property of these special numbers, and take a look at some examples of irrational numbers.

Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. This tutorial explains real numbers and gives some great examples. Take a look!