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Decimals 
Numbers and Number Sense 
123,456,789.1234 
The buttons on each page will take you forward or backward 
when you left-click your mouse on them.
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.
CCSS.Math.Content.5.NBT.A.3 
Read, write, and compare decimals 
to thousandths. 
Next  
objective
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 
WWhhaatt iiss aa ddeecciimmaall?? 
A decimal is a part of a whole.
Think about money. 
One dollar, 4 dimes, and 3 
pennies is written in decimal 
form. 
$1.43
It takes 10 dimes to make 1 dollar, 
so a dime is one-tenth of a dollar. 
One dollar is equal to 10 dimes.
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.
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
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
Money is one way we 
use decimals every day, 
but decimals are used 
for more than just 
money.
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
Decimals can also be 
shown on the place 
value chart.
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.
thousands 
hundreds 
tens 
ones 
tenths 
hundredths 
thousandths 
ten-thousandths 
1 4 
This shows 14 (fourteen) spiders.
thousands 
hundreds 
tens 
ones 
tenths 
hundredths 
thousandths 
ten-thousandths 
1 1 5 
This shows 115 (one hundred fifteen) candy-corns. 
Really! Count them.
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
$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.
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
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
one hundred thirty 
hundreds 
tens 
ones 
tenths 
hundredths 
thousandths 
ten-thousandths 
3 
-four 
4 
and seven ten-thousandths 
1 0 0 0 7
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
Decimals show parts of wholes in 
divisions of ten.
Decimals can show parts of wholes in 
divisions of hundreds or thousands.
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.
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
How many hundredths are red? 
How many hundredths are yellow? 
Click here to 
find out.
32 hundredths are red, 0.32 
68 hundredths are yellow, 0.68 
Click here and try 
another one!
How many 
thousandths 
are purple? 
How many 
are blue? 
Don’t forget to write 
your answers down! 
Check your 
answer here.
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
How many 
thousandths 
are green? 
How many 
thousandths 
are blue? 
Check your 
answers here.
44 thousandths 
0.044 are green. 
956 thousandths 
0.956 are blue. 
More
Compare these decimals. 
0.4 < 0.6 
four tenths is LESS THAN six tenths
Compare these decimals. 
0.4 = 0.40 
four tenths IS EQUAL TO forty hundredths
eight tenths is greater than eight hundredths 
eight hundredths is greater than eight thousandths 
0.008 
0.8 > 0.08 >
Compare these decimals 
using <, >, or =. 
A. 0.6 and 0.7 
B. 0.39 and 0.3 
Check your 
answers.
A. 0.6 < 0.7 B. 0.39 > 0.3 
0.6 
0.7 
0.39 
0.3
Compare these decimals 
using <, >, or =. 
C. 0.54 and 0.56 
D. 0.20 and 0.2 
Check your 
answers.
C. 0.54 < 0.56 D. 0.20 = 0.2 
0.54 
0.56 
0.20 
0.2
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

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Decimals

  • 1. Decimals Numbers and Number Sense 123,456,789.1234 The buttons on each page will take you forward or backward when you left-click your mouse on them.
  • 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.
  • 3. CCSS.Math.Content.5.NBT.A.3 Read, write, and compare decimals to thousandths. Next  objective
  • 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
  • 13. Decimals can also be shown on the place value chart.
  • 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.
  • 15. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 1 4 This shows 14 (fourteen) spiders.
  • 16. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 1 1 5 This shows 115 (one hundred fifteen) candy-corns. Really! Count them.
  • 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
  • 21. one hundred thirty hundreds tens ones tenths hundredths thousandths ten-thousandths 3 -four 4 and seven ten-thousandths 1 0 0 0 7
  • 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
  • 23. Decimals show parts of wholes in divisions of ten.
  • 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.
  • 33. 44 thousandths 0.044 are green. 956 thousandths 0.956 are blue. More
  • 34. Compare these decimals. 0.4 < 0.6 four tenths is LESS THAN six tenths
  • 35. Compare these decimals. 0.4 = 0.40 four tenths IS EQUAL TO forty hundredths
  • 36. eight tenths is greater than eight hundredths eight hundredths is greater than eight thousandths 0.008 0.8 > 0.08 >
  • 37. Compare these decimals using <, >, or =. A. 0.6 and 0.7 B. 0.39 and 0.3 Check your answers.
  • 38. A. 0.6 < 0.7 B. 0.39 > 0.3 0.6 0.7 0.39 0.3
  • 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

Editor's Notes

  1. Say: Decimals, Numbers and number sense