Understanding decimals

Understanding decimals starts with a good understanding of place value. Therefore, I recommend that you start by carefully studying decimals place value before studying other lessons once you are done reading this page.




What is a decimal? When examining the word decimal, you can recognize the prefix deci. And deci is equal to 1/10 or 0.1

A decimal is referring to any proper or improper fraction whose denominator is 10, 100, 1000, and so forth...

For example, the following are all examples of decimals.

5/10  = 0.5

2/100 = 0.02

16/1000 = 0.016

1/100  = 0.01

195/10000  = 0.0195

45/10 = 4.5

234/100  = 2.34

Notice that the first 5 are proper fractions and the last two are improper fractions.

We can then say that a decimal is a combination of a  whole number and a fraction of a whole number.

Decimals place value
Learn how to name the place value of a decimal number

Writing decimals in words
Learn how to read and write decimals

Comparing decimals. Learn how determine if a decimals is bigger or smaller than another decimal.

Rounding decimals
Learn how to simplify a decimal by rounding.

Adding decimals
This lesson will attempt to give you a deep understanding of adding decimals

Subtracting decimals
A deep understanding of subtraction with decimals.

Decimals to fractions
Learn how to convert a decimal to a fraction.

Fractions to decimals
Learn how to convert a fraction to a decimal.

Converting repeating decimals to fractions
Learn how to convert repeating decimals to fractions




Recent Articles

  1. Fractions - Basic Mathematics

    Apr 02, 19 05:34 PM

    Learn about equivalent, benchmark, multiplying, dividing, adding and subtracting fractions

    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


Math quizzes

 Recommended

Scientific Notation Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz

Types of angles quiz


Tough algebra word problems

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Recent Articles

  1. Fractions - Basic Mathematics

    Apr 02, 19 05:34 PM

    Learn about equivalent, benchmark, multiplying, dividing, adding and subtracting fractions

    Read More

K-12 math tests


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.