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http://www.mathantics.com

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We have added a new feature that allows members who are teachers to easily share access to the Math Antics website with their students at home. Click here to learn more.

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Math Antics - Convert any Fraction to a Decimal

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Decimals are used to write a number that is not whole. Decimal numbers are numbers that are in between whole numbers. An example of this is, 12.5, which is a decimal number that is in-between 12 and 13. It is more than 12, but it is less than 13.

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https://www.mathsisfun.com/decimals.html

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A Decimal Number ( based on the number 10) contains a Decimal Point.

First, let's have an example:

Here is the number "forty-five and six-tenths" written as a decimal number:

The decimal point goes between Ones and Tenths.

45.6 has 4 Tens, 5 Ones and 6 Tenths, like this:

Now, let's discover how it all works ...

Place Value

It is all about Place Value !

When we write numbers, the position (or " place") of each digit
is important.

In the number 327:

the "7" is in the Ones position, meaning 7 ones (which is 7),

the "2" is in the Tens position meaning 2 tens (which is twenty),

and the "3" is in the Hundreds position, meaning 3 hundreds.

"Three Hundred Twenty Seven"

As we move left, each position is 10 times bigger!

Tens are 10 times bigger than Ones
Hundreds are 10 times bigger than Tens

... and ...

As we move right, each position is 10 times smaller.

From Hundreds, to Tens, to Ones

1 10 ths (Tenths) are!

But we must first put a decimal point,
so we know exactly where the Ones position is:

And that is a Decimal Number!

We can continue with smaller and smaller values, from tenths, to hundredths, and so on, like in this example:

Have a play with decimal numbers yourself:

numbers/images/decimal-chg.js

Large and Small

So, our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Digits can be placed to the left or right of a decimal point, to show values greater than one or less than one.

The decimal point is the most important part of a Decimal Number. Without it we are lost, and don't know what each position means.

17

591

On the left of the decimal point is a As we move further left, every place gets whole number (such as 17). 10 times bigger.

The first digit on the right is As we move further right, every place gets tenths (1/10). 10 times smaller (one tenth as big).

Zoom into decimals ...

See decimals on the Zoomable Number Line

Definition of Decimal

The word "Decimal" really means "based on 10" (From Latin decima: a tenth part).

We sometimes say "decimal" when we mean anything to do with our numbering system, but a "Decimal Number" usually means there is a Decimal Point.

Ways to think about Decimal Numbers ...

... as a Whole Number Plus Tenths, Hundredths, etc

We can think of a decimal number as a whole number plus tenths, hundredths, etc:

Example 1: What is 2.3 ?

On the left side is "2", that is the whole number part.

The 3 is in the "tenths" position, meaning "3 tenths", or 3/10

So, 2.3 is "2 and 3 tenths"

Example 2: What is 13.76 ?

On the left side is "13", that is the whole number part.

There are two digits on the right side, the 7 is in the "tenths" position, and the 6 is the "hundredths" position

So, 13.76 is "13 and 7 tenths and 6 hundredths"

... as a Decimal Fraction

Or we can think of a decimal number as a Decimal Fraction.

A Decimal Fraction is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc (in other words a power of ten)

... as a Whole Number and Decimal Fraction

Or we can think of a decimal number as a Whole Number plus a Decimal Fraction.

Those are all good ways to think of decimal numbers.

950, 2529, 2530, 2531, 3449, 3450,949, 1328, 3451, 3452

# data[].attributes.attachment_link.description
A Decimal Number ( based on the number 10 ) contains a Decimal Point. Here is the number "forty-five and six-tenths" written as a decimal number: The decimal point goes between Ones and Tenths. 45.6 has 4 Tens, 5 Ones and 6 Tenths, like this: Now, let's discover how it all works ...

# data[].attributes.attachment_link.readable_text
A Decimal Number ( based on the number 10) contains a Decimal Point.

First, let's have an example:

Here is the number "forty-five and six-tenths" written as a decimal number:

The decimal point goes between Ones and Tenths.

45.6 has 4 Tens, 5 Ones and 6 Tenths, like this:

Now, let's discover how it all works ...

Place Value

It is all about Place Value !

When we write numbers, the position (or " place") of each digit
is important.

In the number 327:

the "7" is in the Ones position, meaning 7 ones (which is 7),

the "2" is in the Tens position meaning 2 tens (which is twenty),

and the "3" is in the Hundreds position, meaning 3 hundreds.

"Three Hundred Twenty Seven"

As we move left, each position is 10 times bigger!

Tens are 10 times bigger than Ones
Hundreds are 10 times bigger than Tens

... and ...

As we move right, each position is 10 times smaller.

From Hundreds, to Tens, to Ones

1 10 ths (Tenths) are!

But we must first put a decimal point,
so we know exactly where the Ones position is:

And that is a Decimal Number!

We can continue with smaller and smaller values, from tenths, to hundredths, and so on, like in this example:

Have a play with decimal numbers yourself:

numbers/images/decimal-chg.js

Large and Small

So, our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Digits can be placed to the left or right of a decimal point, to show values greater than one or less than one.

The decimal point is the most important part of a Decimal Number. Without it we are lost, and don't know what each position means.

17

591

On the left of the decimal point is a As we move further left, every place gets whole number (such as 17). 10 times bigger.

The first digit on the right is As we move further right, every place gets tenths (1/10). 10 times smaller (one tenth as big).

Zoom into decimals ...

See decimals on the Zoomable Number Line

Definition of Decimal

The word "Decimal" really means "based on 10" (From Latin decima: a tenth part).

We sometimes say "decimal" when we mean anything to do with our numbering system, but a "Decimal Number" usually means there is a Decimal Point.

Ways to think about Decimal Numbers ...

... as a Whole Number Plus Tenths, Hundredths, etc

We can think of a decimal number as a whole number plus tenths, hundredths, etc:

Example 1: What is 2.3 ?

On the left side is "2", that is the whole number part.

The 3 is in the "tenths" position, meaning "3 tenths", or 3/10

So, 2.3 is "2 and 3 tenths"

Example 2: What is 13.76 ?

On the left side is "13", that is the whole number part.

There are two digits on the right side, the 7 is in the "tenths" position, and the 6 is the "hundredths" position

So, 13.76 is "13 and 7 tenths and 6 hundredths"

... as a Decimal Fraction

Or we can think of a decimal number as a Decimal Fraction.

A Decimal Fraction is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc (in other words a power of ten)

... as a Whole Number and Decimal Fraction

Or we can think of a decimal number as a Whole Number plus a Decimal Fraction.

Those are all good ways to think of decimal numbers.

950, 2529, 2530, 2531, 3449, 3450,949, 1328, 3451, 3452

# data[].attributes.attachment_link.description
A Decimal Number ( based on the number 10 ) contains a Decimal Point. Here is the number "forty-five and six-tenths" written as a decimal number: The decimal point goes between Ones and Tenths. 45.6 has 4 Tens, 5 Ones and 6 Tenths, like this: Now, let's discover how it all works ...

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Math Antics - Convert any Fraction to a Decimal

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Adding and Subtracting Decimals (How to) | Math with Mr. J

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n Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them. It is the standard form of representing integer and non-integer numbers. In this article, let us discuss in detail about “ Decimals”, its types, properties, and place value representation of decimal numbers with many solved examples. Adam Omar

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n Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them. It is the standard form of representing integer and non-integer numbers. In this article, let us discuss in detail about “ Decimals”, its types, properties, and place value representation of decimal numbers with many solved examples. Adam Omar

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adding decimals