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Decimals
Decimals up to 3 decimal places

 What will we learn today?
 • notation and place values (tenths,
   hundredths, thousandths)
 • conversion of a decimal to a fraction
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!


                      427
               From Units, to Tens, to Hundreds
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


         427.1
“four hundred twenty seven and one tenth"
                  But,
            we usually just say
  “four hundred twenty seven point one"
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,
                          tenths
  units                        hundredth
tens
      27.198
          decimal point
                                  thousandth
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,

                               24
       2.4 =                   10
A Decimal Fraction
is a fraction where the denominator (the bottom
number) is a number such as 10, 100, 1000, etc
For example,

                               124
     12.4 =                    10
A Decimal Number
       can be a combination of
  Whole Number and Decimal Fraction

                             4
12.4 = 12               and 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?
                  tenths
Solution:              hundredth
                          thousandth
356.842
Try this out!

What is the hundredths digit
in the number 356.842?

Answer:
          4
Are you ready to
  try out the
   questions?
Visit kungfumath.sg today!

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Kungfu math p4 slide11 (decimals up to 3 decimal places)pdf

  • 1. Decimals Decimals up to 3 decimal places What will we learn today? • notation and place values (tenths, hundredths, thousandths) • conversion of a decimal to a fraction
  • 3. Decimals A Decimal Number (based on the number 10) contains a Decimal Point. Examples: 230.01, 0.56, 1.20
  • 4. 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.
  • 5. 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.
  • 6. In the number 427, As we move to the left, each position is 10 times bigger! 427 From Units, to Tens, to Hundreds
  • 7. In the number 427, As we move to the right, each position is 10 times smaller. 427 From Hundreds, to Tens, to Units
  • 8. 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
  • 9. Decimal Point 427.1 “four hundred twenty seven and one tenth" But, we usually just say “four hundred twenty seven point one"
  • 10. 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.
  • 11. With that, we can continue with smaller and smaller values, from tenths, to hundredths, and so on. See the example below, tenths units hundredth tens 27.198 decimal point thousandth
  • 12. A Decimal Fraction is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc
  • 13. A Decimal Fraction is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc For example, 24 2.4 = 10
  • 14. A Decimal Fraction is a fraction where the denominator (the bottom number) is a number such as 10, 100, 1000, etc For example, 124 12.4 = 10
  • 15. A Decimal Number can be a combination of Whole Number and Decimal Fraction 4 12.4 = 12 and 10
  • 16. Try this out! What is the hundredths digit in the number 356.842?
  • 17. Try this out! What is the hundredths digit in the number 356.842? tenths Solution: hundredth thousandth 356.842
  • 18. Try this out! What is the hundredths digit in the number 356.842? Answer: 4
  • 19. Are you ready to try out the questions?