the "7" is in the Ones position, definition 7 ones (which is 7),the "2" is in the Tens position an interpretation 2 10s (which is twenty),and the "3" is in the Hundreds position, definition 3 hundreds.

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"Three hundreds Twenty Seven"
As we relocate left, each position is 10 time bigger!
Tens room 10 time bigger 보다 OnesHundreds room 10 time bigger than Tens

... And ...

As we move right, each place is 10 time smaller.
From Hundreds, come Tens, come Ones


But what if we proceed past Ones?

What is 10 time smaller than Ones?

110ths (Tenths) are!

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

"three hundred twenty seven and four tenths"

but us usually simply say "three hundred twenty 7 point four"

And that is a Decimal Number!

We can proceed with smaller and smaller values, native tenths, come hundredths, and also so on, prefer in this example:


Have a play through decimal number yourself:

Large and Small

So, our Decimal System allows us create numbers as big or as little as we want, using the decimal point. Digits deserve to be inserted to the left or appropriate of a decimal point, to display values better than one or less than one.

The decimal point is the most important part of a Decimal Number. Without it we room lost, and don"t understand what each position means.

On the left the the decimal suggest is awhole number (such as 17)
As us move more left,every place gets 10 times bigger.
The first digit top top the best means tenths (1/10).
As us move further right,every ar gets 10 times smaller(one tenth together big).

Zoom into decimals ...

See decimal on the Zoomable Number Line


Definition of Decimal

The native "Decimal" really way "based top top 10" (From Latin decima: a tenth part).

We sometimes say "decimal" when we median anything to execute with our number is numbered system, yet a "Decimal Number" usually method there is a Decimal Point.

Ways come think about Decimal number ...

... As a entirety Number to add Tenths, Hundredths, etc

We have the right to think that a decimal number together a totality number plus tenths, hundredths, etc:

Example 1: What is 2.3 ?

On the left next is "2", the is the whole number part.The 3 is in the "tenths" position, definition "3 tenths", or 3/10So, 2.3 is "2 and 3 tenths"

Example 2: What is 13.76 ?

On the left side is "13", the is the totality number part.There room two number on the best side, the 7 is in the "tenths" position, and the 6 is the "hundredths" positionSo, 13.76 is "13 and 7 tenths and 6 hundredths"

... As a Decimal Fraction

Or we have the right to think of a decimal number together a Decimal Fraction.

A Decimal portion is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, and so on (in various other words a power of ten)

So "2.3" watch like:2310
And "13.76" looks like:1376100

... As a totality Number and Decimal Fraction

Or we can think that a decimal number together a entirety Number add to a Decimal Fraction.

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So "2.3" watch like:2 and also 310
And "13.76" looks like:13 and 76100

Those are all good ways to think that decimal numbers.

Decimals index Decimal Worksheets powers of 10 rounding Numbers including Decimals Subtracting decimals Multiplying Decimals splitting Decimals convert Decimals to fractions Converting fractions to Decimals