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• notation and place values (tenths, hundredths, thousandths)
• conversion of a decimal to a fraction
What will we learn today?
Decimals Decimals up to 3 decimal places
What is Decimal ?
Decimals
A Decimal Number
(based on the number 10)
contains a Decimal Point.
Examples:
230.01, 0.56, 1.20
Place Value
To understand decimal numbers, we must first know about Place Value.
When we write numbers,
the position (or "place") of each number is important.
Example
In the number 427:
the "7" is in the Units position, meaning just 7 (or 7 "1"s),
the "2" is in the Tens position meaning 2 tens (or twenty),
and the “4" is in the Hundreds position, meaning 4 hundreds.
In the number 427,
As we move to the left, each position is 10 times bigger!
From Units, to Tens, to Hundreds
427
In the number 427,
As we move to the right, each position is 10 times smaller.
427 From Hundreds, to Tens, to Units
If we pass the unit value,
we have to first write a decimal point
427.1 and this value is 10 times smaller than the units
Decimal Point
“four hundred twenty seven and one tenth" But,
we usually just say “four hundred twenty seven point one"
427.1
Decimal Point
The decimal point is the most important part of a Decimal Number.
It is exactly to the right of the Units position.
Without it, we would be lost ... and not know what each position meant.
With that, we can continue with smaller and smaller values, from tenths, to hundredths, and so on.
See the example below,
27.198
tenths hundredth
thousandth
units tens
decimal point
A Decimal Fraction
is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc
A Decimal Fraction
is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc
For example,
2.4 = 24 10
A Decimal Fraction
is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc
For example,
12.4 = 124 10
A Decimal Number
can be a combination of
Whole Number and Decimal Fraction
12.4 = 12 and 4 10
Try this out!
What is the hundredths digit
in the number 356.842?
Try this out!
What is the hundredths digit
in the number 356.842?
Solution: tenths
hundredth thousandth
356.842
Try this out!
What is the hundredths digit
in the number 356.842?
Answer: 4
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