Equivalent Decimals

Name
Lesson 5.2
Equivalent Decimals
Write equivalent or not equivalent to describe each pair of decimals.
1. 2.26 and 2.260
2. 8.05 and 8.50
3. 7.08 and 7.008
4. 9 and 9.00
Write an equivalent decimal for each number.
5. 0.9
9. 0.04
6. 1.800
7. 3.02
8. 8.640
10. 45.100
11. 4.60
12. 2.70
16. 3.0540
Write the two decimals that are equivalent.
13. 3.007
14. 0.930
15. 7.60
3.700
0.093
7.06
3.054
3.7000
0.93
7.600
3.504
Problem Solving and Test Prep
17. FAST FACT The calliope hummingbird
18. The calliope hummingbird is about
0.07 meter long, yet it can fly from
northern North America to Mexico for
the winter. Write an equivalent decimal
for the length of a calliope hummingbird.
is the smallest bird in North America.
It weighs about 2.5 grams and builds
a nest about the size of a quarter. Write
an equivalent decimal for 2.5.
19. The calliope hummingbird lives in the
20. A banded calliope hummingbird was
mountains. It has been seen as high as
335.23 meters above sea level. Write
an equivalent decimal for 335.23.
seen in Idaho and also in Virginia. It had
flown more than 2,440.95 miles. Which
decimal is equivalent to 2,440.95?
A 2,440.095
B
2,400.905
C
2,440.9500
D 2,440.9595
PW34
Practice
© Harcourt • Grade 5
Name
Lesson 5.1
Decimal Place Value
Lesson 5.2
Equivalent Decimals
Write equivalent or not equivalent to describe each pair of decimals.
Write the decimal shown by the shaded part of each model.
1.
Name
2.
3.
4.
1. 2.26 and 2.260
2. 8.05 and 8.50
not
equivalent
equivalent
3. 7.08 and 7.008
not
equivalent
Write an equivalent decimal for each number.
0.40
0.6
0.53
0.927
9. 87.759
1 tenth,
or 0.1
10. 74.038
7 tenths,
or 0.7
8. 25.207
1 thousandth, 7 thousandths,
or 0.001
or 0.007
11. 1.3496
14. two and one hundred two thousandths
2.102; 2 ⴙ 0.1 ⴙ 0.002
10.38; 10 ⴙ 0.3 ⴙ 0.08
15. 0.492
16. 5 ⫹ 0.3 ⫹ 0.06 ⫹ 0.009
four hundred ninety-two
thousandths;
0.4 ⴙ 0.09 ⴙ 0.002
5.369; five and three
hundred sixty-nine
thousandths
Problem Solving and Test Prep
17. A robber fly’s greatest length in meters
18. A honey bee is 0.017 m. A carpenter
has 0 in the ones and tenths places and
5 in the hundredths place. What is this
length of a robber fly in meters?
bee is 0.008 m longer than a honey bee.
What is the length of a carpenter bee in
expanded form?
0.05
0.02 ⴙ 0.005
19. What is the value of the underlined digit
in 8.536?
B
20. The decimal 0.9 is how many times
greater than 0.009?
A 0.003
1.8
C
11. 4.60
45.1
0.03
B
10
C
0.3
C
100
D 3.000
8.64
12. 2.70
2.7
4.600
Write the two decimals that are equivalent.
13. 3.007
14. 0.930
15. 7.60
3.700
0.093
7.06
3.054
3.7000
0.93
7.600
3.504
3.700, 3.7000
0.930, 0.93
16. 3.0540
7.60, 7.600 3.0540, 3.054
Problem Solving and Test Prep
17. FAST FACT The calliope hummingbird
18. The calliope hummingbird is about
0.07 meter long, yet it can fly from
northern North America to Mexico for
the winter. Write an equivalent decimal
for the length of a calliope hummingbird.
is the smallest bird in North America.
It weighs about 2.5 grams and builds
a nest about the size of a quarter. Write
an equivalent decimal for 2.5.
Possible answer: 2.50
Possible answer: 0.070
19. The calliope hummingbird lives in the
20. A banded calliope hummingbird was
mountains. It has been seen as high as
335.23 meters above sea level. Write
an equivalent decimal for 335.23.
seen in Idaho and also in Virginia. It had
flown more than 2,440.95 miles. Which
C
decimal is equivalent to 2,440.95?
A 2,440.095
A 9
B
8. 8.640
3.020
10. 45.100
0.040
12. 0.9472
0 tenths, 9 thousandths, 4 hundredths,
or 0.0
or 0.009
or 0.04
Write each number in two other forms.
13. ten and thirty-eight hundredths
9. 0.04
equivalent
Possible answers are given.
7. 3.02
6. 1.800
0.90
Find the value of the underlined digit in each number.
5. 6.029
7. 0.831
6. 8.172
2 hundredths,
or 0.02
5. 0.9
4. 9 and 9.00
D 0.01
Circled problems are suggested homework problems.
PW33
B
2,400.905
C
2,440.9500
Possible answer: 335.230 D 2,440.9595
Circled problems are suggested homework problems.
PW34
Practice
Practice
© Harcourt • Grade 5
© Harcourt • Grade 5
Lesson 5.1
Item
Lesson 5.2
Suggested rationale
Item
Suggested rationale
1
write tenths
1
zero as last digit
3
write hundredths
3
hundredths and thousandths
5
hundredths value
4
inserted zeros
7
thousandths value
8
equivalent hundredths
9
tenths value
10
equivalent tenths or
hundredths
13
decimal and expanded form
13
zero as last two and three
digits
15
words and expanded form
16
zero as ten-thousandths digit
18
problem solving
17
problem solving
20
test prep: multiple choice
19
problem solving
PW33-PW34
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatA.indd PW33
7/2/07 3:00:58 PM