2 Tenths In Decimal Form

Decimals

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

First, let'due south have an case:

decimal number 45.6

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, similar this:

decimal number 45.6 = 40 + 5 + 6/10

Now, let'due south discover how it all works ...

Identify Value

It is all nearly Identify Value !

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

In the number 327:

the "7" is in the Ones position, meaning vii ones (which is vii),
the "ii" 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 x times bigger than Tens

... and ...

As we motion correct, each position is 10 times smaller .
From Hundreds, to Tens, to Ones

Just what if we go along past Ones?

What is 10 times smaller than Ones?

1 10 ths (Tenths) are!

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

"3 hundred twenty seven and four tenths"

but we commonly just say "three hundred 20 seven point four"

And that is a Decimal Number!

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

decimal 17.591

Have a play with decimal numbers yourself:

Large and Small

So, our Decimal System lets us write numbers as large or as small every bit nosotros desire, using the decimal bespeak. Digits tin exist placed to the left or right of a decimal point, to show values greater than one or less than 1.

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

17	591

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

		The first digit on the right means tenths (1/10).
		As nosotros move farther correct, every place gets 10 times smaller (i tenth as large).

Zoom into decimals ...

Encounter decimals on the Zoomable Number Line

Definition of Decimal

The give-and-take "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 ways there is a Decimal Point.

Ways to recall well-nigh Decimal Numbers ...

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

We tin can call up of a decimal number as a whole number plus tenths, hundredths, etc:

Example 1: What is 2.3 ?

On the left side is "ii", that is the whole number function.
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 xiii.76 ?

On the left side is "13", that is the whole number part.
There are two digits on the right side, the seven 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 tin can think of a decimal number equally a Decimal Fraction.

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

And then "2.iii" looks similar:	23 10

And "13.76" looks similar:	1376 100

... as a Whole Number and Decimal Fraction

Or nosotros tin recall of a decimal number as a Whole Number plus a Decimal Fraction.

So "2.3" looks like:	2 and 3 10

And "13.76" looks similar:	13 and 76 100

Those are all good ways to think of decimal numbers.