What is decimal notation?

1 Answer
Apr 2, 2016

Decimal notation is the representation of a fraction using the base #10# and consisting of a decimal point.


Decimal notation is simply a form of a number using a decimal point. An example is #0.7#.

Decimals use the base ten. Thus, they have tenths, hundredths, thousandths, ten thousandths, etc. places. Check out the example below.

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Now, it is useful to think about decimals in the context of fractions, because they are so often used together or even interchangeably. #0.7# means seven tenths, as the #7# is in the tenths place. It can be written as a fraction: #7/10#.

As the decimal expands into the hundredths, thousandths, etc. places, the denominator of the fraction similarly changes. For example, #0.70# uses the hundredths place. Therefore, the fraction looks like this: #70/100#.

Fractions can be converted into decimals and vice versa. They are both equal, but written in different ways.