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.
Notice that √(9) is a natural number. It is because √(9) = 3
Notice that the only difference between natural numbers and whole numbers is the zero.
Whole numbers = Natural numbers + zero
Notice that the difference between whole numbers and integers are the negative numbers.
Integers = Whole numbers + the negative of the whole numbers
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
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
Rational numbers = Integers + fractions
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
Real numbers = rational numbers + irrational numbers
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!
Mar 27, 17 09:34 AM
Learn how to estimate quotients using multiples with this easy to follow lesson.
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.