1. UNIT 12 DECIMALS NUMERATION
4TH GRADE GIFTED

2. ones tens one hundred number line
VOCABULARY
ones tens one hundred number line
The number 438,572 has a 7 in the __________ place.
Ten tens are equal to ______.
A _______ can be used to show numbers in order using a scale.

3. Comparing Numbers
> < =
1, ,999
43, ,167
629, ,348
455, ,331
101, ,011
95, ,555

4. Order these numbers from greatest to least.
3, , , ,768
41, , , ,001
4, , , ,359
678, , , ,291

5. Order from least to greatest.
15, , ,542
543, , ,978

6. Use a decimal model to show
1.6 pounds.

7. A decimal model can also show 1.6 hundredths.

8. Write the decimal: 1.64
Standard form:
Expanded form:
Word form:

9. Write the expanded form and word form.
3.91
6.8
1.09
2.3

10. Write the decimal for each. What would the fraction be?

11. Write the decimal shown.
Write the fraction.

12. Write the number in word and give the value of each red digit.
2.47 ________________________
3.19 ________________________
23.79 ________________________
0.78 ________________________
1.8 ________________________
________________________
9.05 ________________________

13. Write a number that has a 4 in the tens place and a 5 in the hundredths place.
_________________________________
The capybara can grow to be 1.3
meters long. Write 1.3 in expanded
form and in word form.
___________________

14. The Green Darner is one of the largest dragonflies on Earth.
It weighs about four hundredths
of an ounce. Write the weight in
standard form.

15. Use the decimal model to explain why 0.08 is less than 0.1

17. Write the word form and tell the value
of each red digit.
2.300 __________________________
9.027 __________________________
1.982 __________________________
__________________________
4.983 __________________________
__________________________

18. Write each number in standard form.
9 =

19. Write two decimals that are equivalent to the decimal below.
2.200 _________________________
_________________________
_________________________

20. Bella finished a race in 2.6 hours, and Sophia finished the
same race in hours.
Which runner finished the
race first?

21. Alex is buying juice at the market. He has $9, and each
bottle of juice costs $2.
Does he have enough money to
buy 5 bottles of juice? Explain.

22. Nikki made 19 pancakes for breakfast. She took 7 and gave
an equal number to her dad and
mom. How many pancakes did
each of her parents get?

23. The Borneo stick insect
has a total length, including
its legs, of 21.5 inches.
Name two decimals that are
equivalent to 21.5

24. Worker leafcutter ants can measure 0.5 inch.
Write three other ways to write 0.5 inch.

25. Decimal to Whole Number
Connection
thousands
hundreds
tens
ones .
tenths
hundredths
thousandths
1,000
100 10 1
0.1
1/10
0.01
1/100
0.001
1/1000 5 3 4 2

26. Write the place value for the
red digit.
_____________________
_____________________
_____________________
6, _____________________

27. Write the number that is ten times as many.
_____________________
0.01 _____________________
_____________________
0.001_____________________

28. A telephone worker used What is the place value of the
feet of cable.
What is the place value of the
5 in ?

29. How many hundredths are in
The grid below shows one hundred equal parts. Each part is equal to one hundredth.
How many hundredths are in
one tenth?

30. Write the place value for each bold digit.
572.67 2, 1, 9,
601.65 1, 4, 6, 2, 9,
1,843.2 5,

31. Write the number that is ten times as many.
0.07 40
0.008
0.9 35
0.6
0.03
500
8.0
70.1
250
1.005

32. There are 100 fiction books in the classroom library. The
school library has ten times as
many fiction books. What is the
number of fiction books in the
school library?

33. Ryan and Colin collected aluminum cans
for the school recycling project.
Look at the chart to find out who
collected the most cans. Find the
difference between the number of
cans collected.
RYAN
1,352
COLIN
1,329

34. Kiley baked 3 times as many muffins as Kayla for the
school bake sale. If Kayla
baked 36 muffins, how many
did Kiley bake?
Kayla
Kiley 36

35. Mrs. B has 6 gallons of gas in her car. Her tank can hold 15 gallons.
Will Mrs. B need more or less than 10 gallons of gas to fill her tank?
_______
If gas is $3.49 per gallon, how much will it cost to fill up the tank?

36. Ethan found two shells that are the same
shape but are different sizes.
One weighs 0.01 pound and the other
weighs ten times as much.
How much does the heavier shell weigh?

37. Charlie and Kohle are discussing the value of the first 1 and the
second 1 in the number 4.115
Charlie thinks the first 1 has
greater value than the second.
Is he correct?

38. Decimals on the number line. Locate 1.90 on the number line.
Locate 1.90 on the number line.

39. Decimals on the number line.
Locate 2.3 on the number line.
Locate 4.1 on the number line.

40. Decimals on the number line.
Locate 0.8 on the number line.
Locate 3.4 on the number line.

41. Name the points on the number line.
A B C D A B C D

42. Mark each point on the number line.
2.6
1.3
0.4
3.9

43. Decimals on the number line.
A B C D E F A B C D E F

44. Decimals on the number line.
A B C D E F A B C D E F

45. Decimals on the number line.

46. Decimals on the number line.
Locate on the number line.
Locate on the number line.

47. Decimals on the number line.
How many tenths between 1 and 2?
How many hundredths between 1 and 2?

48. Decimals on the number line. Name two decimals between
Name two decimals between
8.4 and 8.6

49. Sea level at Key West is rising about 1.8 millimeters per year.
What is the place value of the
digit 8 in this number?

50. What is 211.98 rounded to the nearest tenth?
How do you round to the nearest tenth?
What is rounded to the nearest tenth?
Look at the tenths place
Look at the digit to the right
rounds to 212.0
Since the digit is 8, the digit in the
tenths place increases by 1.

51. Round 68.142 to the nearest hundredth.
Look at the hundredths place
Look at the digit to the right
Since 2 < 5, the hundredths
digit stays the same.
rounds to 68.14

52. Round each to the place of the underlined digit.
17.23
19.805
49.562
67.591

53. Round each to the place of the underlined digit.
60.82
88.3
2.283
0.695
72.564
41.483
0.819
147.61
857.95
591.95
312.12
4.108
1009.1
64.93
7.452
99.99
78.61
38.8
230.9
12.55

54. Name 3 decimals that when rounded to the nearest tenth,
round to 7.8

55. Which of these decimals does NOT round to 6?
5.71
5.91
6.82
6.249
6.001

56. Megan wanted to know the total mass of two
pieces of volcanic rock. The first piece had a
mass of 4.99 grams and the second had a
mass of 2.85 grams.
Megan wants to record the combined masses
of the two pieces of volcanic rock to the
nearest gram. Is a reasonable
estimate of the masses to the nearest gram?

57. Lauren was asked to round 89.367
to the nearest hundredth. She answered 89.40
Is she correct?
Explain

58. What is 2.28 rounded to the nearest tenth?
According to Jimmy’s rain gauge, it had rained 2.28 inches in 24 hours.
What is 2.28 rounded to the nearest tenth?
What is rounded to the nearest whole number?

59. Landon filled the car with 8.53 gallons of gasoline. To the
nearest tenth of a gallon, how
much gasoline did Landon
put in the car?

60. To the nearest whole number,
Maggie’s dog weighs
5.521 pounds.
To the nearest whole number,
how much does Maggie’s
dog weigh?

61. week. How many miles does
Autumn jogs 12 miles each
week. How many miles does
Autumn jog in 1 year?

62. Which ones don’t belong?

63. Three-tenths of the bagels are
Ari bought 10 bagels.
Three-tenths of the bagels are
plain and the rest are cinnamon. How many cinnamon bagels
are there?

64. Bella and her family need to travel 53.19 miles to get to her
According to MapQuest,
Bella and her family need to
travel miles to get to her
grandmother’s house. What is
this distance rounded to the
nearest mile?

65. Venn diagrams are very useful to show how different data belong to groups. Remember, if the data overlaps, the data belongs in more than one group. 4 14 3 9 15 6 12 18

66. Which are multiples of both 2 and 3?
Which numbers in the Venn are multiples or 2?
Which are multiples of 3?
Which are multiples of both 2 and 3?
Add the numbers 21, 22, and 24 to the Venn. 3 9 15 4 14 6 12 18

67. Comparing Decimals
> = <

68. Use the number line to help you compare
2.453 and 2.458 2 3

69. COMPARE

70. The most important thing you
must remember is to
LINE UP THE
DECIMAL POINTS
before you do ANYTHING!
x : .10

71. Sophia earns $4 per week doing chores. If one flower costs
$2, how many flowers can
Sophia buy if she saves for
three weeks?

72. Which number is less than
0.125?
0.5
0.13
0.119
0.2
0.124
0.126

73. are in order from greatest to least. Is he correct or do the
Alex said the numbers
3.04, 0.43, and 2.4
are in order from greatest to
least. Is he correct or do the
numbers need to be rearranged?

74. nickels which weigh 5.5 pounds.
Nikki has a bag of 500
nickels which weigh 5.5 pounds.
A bag of 200 half dollars
weighs 5 pounds.
Which weighs more?

75. order from greatest to least.
Ryan said the numbers 7.37,
7.36, 2.59, and 2.95 were in
order from greatest to least.
Is he correct. Explain.

76. numbers in order from least
Help Kiley put these
numbers in order from least
to greatest.

77. mile, where will you end up on
Look at the line below.
If you start at 0.4 and walk 0.8
mile, where will you end up on
the line?
0.4

78. Look at the drawing below. How can you use the mark on
the line to find where 1.0
should be located?
0.2

79. Kayla needs to redesign a banner for field day. She wanted
her banner to be 2 feet long.
Kayla marked 0.5 foot on her
drawing. How can she use this
distance to find 2 feet?
0.5

80. Who jogged the farthest?
Jimmy jogged 1.7 miles one
morning. Ethan jogged
1.75 miles that same day.
Who jogged the farthest?
Explain.

81. Colin wrote a four-digit number. He used the digits 2,
4, 6, and 8. How many different
four-digit numbers could
Colin have written?

82. brothers as Charlie. If Kohle has “K” brothers, how many
Kohle has half as many
brothers as Charlie. If Kohle
has “K” brothers, how many
brothers does Charlie have?
Write an algebraic expression.

83. Maggie has 3 coin purses with 58 coins in each. How many coins
does Maggie have?

84. 45 boxes of Girl Scout cookies. They deliver “C” boxes each
Lauren and Bekah sold
45 boxes of Girl Scout cookies.
They deliver “C” boxes each
day for 5 days.
Solve.

85. Maggie wants to find which number is equal to three and twenty-two thousandths?
Which should she pick?
3.2200
3,22
3.022
3.0022

86. Megan is cooking 4.619 pounds of spaghetti.
To the nearest hundredth, how many pounds of spaghetti is Megan cooking?
4.60 pounds
4.62 pounds
5 pounds
4.7 pounds

87. Landon is trying to find which number has a 5 in the thousandths place.
9,562,791.1
385.59

88. Ari is making a banner for Girl Scouts. She marked 0
Ari is making a banner for Girl Scouts. She marked on a piece of banner paper. What should she do to find 1.0?
Find the distance halfway to 1
Find the and move right more
Double the distance from 0.5
Move to the left of 0.5

89. Autumn is mailing a present that weighs 15. 683 pounds
Autumn is mailing a present that weighs pounds. To the nearest tenth, how many pounds does the package weigh?

90. What is the place value of the 9 in 4,602.791?
Ones
Tenths
Hundredths
Thousands

91. Now put them in order from least to greatest.
Put these numbers in a
Place Value chart.
Now put them in order from least to greatest.

92. Which of these statements is true?
5.352 <
5.350 = 5.360
5.353 < 5.360
5.358 > 5.360

93. Which of the following are
less than
8.002
8.200
8.020
8.022

94. Put each set of numbers in order from greatest to least.

95. What is ten times as many as the number 0.04?
0.004
0.04
4.0
0.4

96. Which decimal is shown in the model below?
2.0
2.96
2.40
2.04