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





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Recent Lessons

  1. How to estimate fractions

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