1. Decimals
Numbers and Number Sense
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2. Dear Students,
In this presentation, you will learn
about decimals! You will have the chance to
review decimal concepts. You will also be able
to practice your decimal skills.
Have fun!
• Click here to see
the Standards Of
Learning objectives
you will cover.
• Click here to begin
learning about
decimals.
4. CCSS.Math.Content.5.NBT.A.3.b
Compare two decimals to
thousandths based on meanings
of the digits in each place, using
>, =, and < symbols to record the
results of comparisons.
Begin working with decimals
5. WWhhaatt iiss aa ddeecciimmaall??
A decimal is a part of a whole.
6. Think about money.
One dollar, 4 dimes, and 3
pennies is written in decimal
form.
$1.43
7. It takes 10 dimes to make 1 dollar,
so a dime is one-tenth of a dollar.
One dollar is equal to 10 dimes.
8. It takes 100 pennies
to make a dollar, so
each penny is equal to
one-hundredth of a
dollar.
One dime is equal to 10 pennies.
9. It takes 10 dimes to make 1 dollar,
so a dime is one-tenth of a dollar.
$0.10 = one dime
It takes 100 pennies to make 1
dollar, so a penny is one-hundredth
of a dollar.
$0.01 = one penny
10. Practice writing these amounts of
money as decimals on a sheet of paper.
71 cents
6 cents
Click here to
check your
119 cents
answers.
215 cents
11. Money is one way we
use decimals every day,
but decimals are used
for more than just
money.
12. Decimals are special fractions with certain
multiples of ten in the denominator.
1
10
1
1,000
1
= 0.1 = 0.01
100
1
= 0.001 = 0.0001
10,000
one tenth
one thousandth
one hundredth
one ten-thousandth
14. thousands
hundreds
tens
ones
tenths
hundredths
thousandths
ten-thousandths
Everything to the
left of the decimal
point is a WHOLE
number.
Everything to the
right of the decimal
point is PART of a
whole.
17. Remember the dime? It was less than one
whole. It was only a part of 1 whole dollar.
1 dime = $0.10, so we will write it in the tenths
and hundredths place value positions.
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
ten-thousandths
0 1 0
18. $0.10 = 0.1
ten hundredths = one tenth
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
ten-thousandths
0 1 0
0 1
There are no whole dollars, only part of a whole.
19. A penny is also only a part of 1 whole dollar.
1 penny = $0.01 since it is one hundredth of a
dollar we will write it in the hundredths place
value position.
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
ten-thousandths
0 0 1
20. A quarter is also less than 1 whole dollar.
1 quarter = $0.25, so we will write it in the
tenths and hundredths place value positions.
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
ten-thousandths
0 2 5
22. Remember, decimals are special fractions
with certain multiples of ten in the
denominator.
1
10
1
1,000
1
= 0.1 = 0.01
100
1
= 0.001 = 0.0001
10,000
one tenth
one thousandth
one hundredth
one ten-thousandth
24. Decimals can show parts of wholes in
divisions of hundreds or thousands.
25.
26. Now practice writing and saying some decimals.
(Write your answers on paper. Then check your work by clicking below.)
What portion of the
square is green?
What portion of the
square is yellow?
Click here
for the
answer.
27. 0.4 (or four tenths) of the square is green.
0.6 (six tenths) of the square is yellow.
(Does this match what you wrote on your paper?)
Click here and try
another one!
0.4 0.6
28. How many hundredths are red?
How many hundredths are yellow?
Click here to
find out.
29. 32 hundredths are red, 0.32
68 hundredths are yellow, 0.68
Click here and try
another one!
30. How many
thousandths
are purple?
How many
are blue?
Don’t forget to write
your answers down!
Check your
answer here.
31. 872 thousandths
are purple. This
number is written
0.872
128 thousandths
are blue. This
number is written
0.128
Did you check your work?
More
32. How many
thousandths
are green?
How many
thousandths
are blue?
Check your
answers here.
39. Compare these decimals
using <, >, or =.
C. 0.54 and 0.56
D. 0.20 and 0.2
Check your
answers.
40. C. 0.54 < 0.56 D. 0.20 = 0.2
0.54
0.56
0.20
0.2
41. For more fun with decimals check out these:
More Practice:
Web Sites: math games!
http://www.math-play.com/decimal-math-games.html
http://www.sheppardsoftware.com/mathgames/decimals.htm
IXL http://www.ixl.com/math/grade-5/compare-decimal-numbers
