# Decimals CVMS

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```					         Decimals

How to Write Decimals through a
Conceptual Understanding of What
Decimals Are
What is a decimal?
and explain what
decimals.
What is a decimal?
When do we use decimals?

Take a few seconds to think about
when you have seen decimals.
When do we use decimals?
Temperatures

Percentages
Racing Times

Measurements            Money
Writing Decimals
There are different ways to
represent these numbers.
   Flat   one whole    1   1.0
Writing Decimals
There are different ways to
represent these numbers.
 Flat   one whole   1    1.0
1
 Rod    one-tenth   10   0.1
Writing Decimals
There are different ways to
represent these numbers.
 Flat   one whole       1     1.0
1
 Rod    one-tenth       10    0.1
1
 Unit   one-hundredth   100   0.01
one-tenth.
Units   Tenths Hundredths
one-tenth.
How many blocks are in   Units   Tenths Hundredths
the units column?
one-tenth.
How many blocks are in   Units   Tenths Hundredths
the units column?
How many tenths are in
the tenths column?
one-tenth.
How many blocks are in        Units   Tenths Hundredths
the units column?
How many tenths are in
the tenths column?
Can you think of another
way to represent one-tenth?
one-tenth.
How many blocks are in        Units   Tenths Hundredths
the units column?
How many tenths are in
the tenths column?
Can you think of another
way to represent one-tenth?
Now show two-tenths on your
place value mats.
Units   Tenths Hundredths
Now show two-tenths on your
place value mats.
Units   Tenths Hundredths
Now show two-tenths on your
place value mats.
   How do you write        Units   Tenths Hundredths
two-tenths as a
decimal? Write it.
and explain to her or
him how you know
that what you wrote
means two-tenths.
Now show two-tenths on your
place value mats.
   How do you write     Units   Tenths Hundredths
two-tenths as a
decimal? Write it.
   0.2
What does seven-tenths
look like?
   Represent seven-tenths
with the blocks and as
a decimal.
What does seven-tenths
look like?
   Represent seven-tenths
with the blocks and as 0.7
a decimal.
Writing Decimals
Represent one-hundredth with
your blocks and write it as a
decimal.
   Flat   one whole       1     1.0

1
   Rod    one-tenth       10    0.1
1
   Unit   one-hundredth   100
Writing Decimals
Represent one-hundredth with
your blocks and write it as a
decimal.
   Flat   one whole       1     1.0

1
   Rod    one-tenth       10    0.1
1
   Unit   one-hundredth   100   0.01
explain why the decimal you
wrote represents
one-hundredth.
Review of the values of the
places.
2,        3        4      6
thousands hundreds tens   ones
Review of the values of the
places.
2,        3        4      6.     ___ ___              ___
thousands hundreds tens   ones   tenths   hundredths thousandths
Review of the values of the
places.
2,        3        4      6.     ___ ___              ___
thousands hundreds tens   ones   tenths   hundredths thousandths

The decimals follow the same pattern as whole
numbers in that each time we move to the right
the place is ten times smaller.
Review of the values of the
places.
2,         3          4      6.     ___ ___               ___
ones
tens          tenths
hundreds                          hundredths
thousands                                                  thousandths

Some people see the pattern better when
they see it this way.
Remember each place has a name.
Review of the values of the
places.
This can also be organized into a chart.
Think back to fractions…
   Remember how thirteen-hundredths
can be represented as
13
100
Think back to fractions…
   Remember how thirteen-hundredths can be
represented as
13   1   3
   
100 10 100
Think back to fractions…
   Remember how thirteen-hundredths can be
represented as
13   1   3
       0.13
100 10 100

Who can explain why this decimal is correct?
0.10
   What does this decimal represent?

Turn and share with your partner.
Who can tell what your partner said?
Do you agree with your partner?
0.20
   What does this decimal represent?

notebook. Be prepared to share with the
whole class.
Writing Decimals
There are different ways to
represent this number.
1
   Rod     one-tenth       10
0.1 0.10

Show as many ways as you can to represent
this number with the blocks.
Find as many ways as you can to
represent each of these numbers
as fractions and as decimals.
Six-hundredths       Nine-tenths

Fifteen-hundredths   Thirty-five-hundredths

Four-tenths          Fifty-hundredths
A Decimal Game to Enjoy!

Builder Ted needs you to put decimals in order to
save his dog
Beat the clock to write the decimal
Play against the computer or a partner to make the
largest decimal
   Add decimals but don't go over 2.0
   Play tug-of-war by comparing decimals
   Race around a track using multiplication, addition,
and subtraction
   See how decimals and fractions are related
Interactive Place Value Mat

http://www.arcytech.org/java/b10blocks/b10blocks.html
That little point is
very important!
Remember that little
dot can mean the
difference between
a penny and a
dollar or more.
\$0.01  \$1.00

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