You are watching: Write 2 ones and 5 hundredths as a decimal
"Three hundred Twenty Seven" |
As we move left, each position is 10 times bigger! | |
Tens room 10 times bigger than OnesHundreds room 10 times bigger than Tens |
... And ...
As we move right, each place is 10 time smaller. | |
From Hundreds, come Tens, to Ones |
But what if we proceed past Ones? What is 10 times smaller 보다 Ones? 110ths (Tenths) are! |
But we must an initial put a decimal point,so us know specifically where the Ones position is: | ||
"three hundred twenty seven and also four tenths" but we usually just say "three hundred twenty 7 point four" |
And that is a Decimal Number!
We can proceed with smaller and also smaller values, indigenous tenths, come hundredths, and also so on, prefer in this example:
Have a play v decimal numbers yourself:
Large and Small
So, our Decimal System allows us compose numbers as big or as little as us want, making use of the decimal point. Digits deserve to be placed to the left or best of a decimal point, to present values better than one or much less than one.
The decimal point is the most important part of a Decimal Number. Without it we space lost, and also don"t recognize what each place means.
17 | 591 | |||
On the left that the decimal point is awhole number (such as 17) | ||||
As us move more left,every ar gets 10 time bigger. | ||||
The an initial digit top top the right means tenths (1/10). | ||||
As us move further right,every ar gets 10 time smaller(one tenth together big). |
Zoom right into decimals ...
See decimals on the Zoomable Number Line
Definition the Decimal
The word "Decimal" really means "based ~ above 10" (From Latin decima: a tenth part).
We sometimes say "decimal" when we mean anything to do with our numbering system, however a "Decimal Number" usually means there is a Decimal Point.
Ways come think about Decimal number ...
... Together a whole Number plus Tenths, Hundredths, etc
We deserve to think the a decimal number together a totality number add to tenths, hundredths, etc:
Example 1: What is 2.3 ?
On the left side is "2", the is the totality number part.The 3 is in the "tenths" position, meaning "3 tenths", or 3/10So, 2.3 is "2 and 3 tenths"Example 2: What is 13.76 ?
On the left next is "13", the is the totality number part.There room two digits on the ideal side, the 7 is in the "tenths" position, and also the 6 is the "hundredths" positionSo, 13.76 is "13 and 7 tenths and also 6 hundredths"... As a Decimal Fraction
Or we have the right to think of a decimal number together 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 various other words a strength of ten)
So "2.3" watch like: | 2310 |
And "13.76" looks like: | 1376100 |
... Together a entirety Number and Decimal Fraction
Or we can think of a decimal number together a entirety Number plus a Decimal Fraction.
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So "2.3" watch like: | 2 and 310 |
And "13.76" look at like: | 13 and 76100 |
Those room all an excellent ways come think the decimal numbers.
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