Classification of numbers

The chart below will help you with the classification of numbers a lot. It will makes things crystal clear.

Important observations you need to make from the chart.

Classification of numbers

Observation #1:

Notice that √(9) is a natural number. It is because √(9) = 3

Observation #2:

Notice that the only difference between natural numbers and whole numbers is the zero.

Whole numbers = Natural numbers + zero

Observation #3:

Notice that the difference between whole numbers and integers are the negative numbers.

Integers = Whole numbers + the negative of the whole numbers

Observation #4:

All integers are fractions. Not all fractions are integers

Example: -2 is an integer and can be written as -2/1 to make it a fraction.

However, -1/3 = -0.333333333 is not an integer

Observation #5:

Fractions can be written as a terminating decimal or a repeating decemal

Example: 1/2 = 0.5 and 0.5 is a terminating decimal. 1/3 = 0.3333333 and 0.3333333 is a repeating decimal

Observation #6:

Rational numbers = Integers + fractions

Observation #7:

Irrational numbers are numbers that cannot be written as a fraction

Example: pi= 3.14..., 2.224879566117426874, √(7)

Another way to see them is that they are neither repeating decimals nor terminating decimals

Observation #8:

Real numbers = rational numbers + irrational numbers

Observation #9:

The difference between complex numbers and real numbers is that complex numbers give solutions for the following expressions and more!

√(-7), √(1-8), √(-25) = 5i, etc...

Among the different types of numbers, fractions is among the toughest to understand

Still struggling with fractions? Get rid of your fears and frustrations once and for all!

Buy my ebook. It offers a thorough coverage of fractions!

Fractions ebook cover

Recent Articles

  1. 100 Hard Word Problems in Algebra

    Sep 11, 17 05:06 PM

    Easy to follow solution to 100 hard word problems in algebra

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest

Page copy protected against web site content infringement by Copyscape