Grade 5 Metric Conversions Quiz featuring conversion and comparison exercises for length measurements.
Grade 5 Metric Conversions Quiz worksheet with conversion problems and comparison statements for length units.
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Step-by-step solution for: Grade 5 Cm, m, mm worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Cm, m, mm worksheet
Problem: Grade 5 Metric Conversions Quiz
#### Part 1: Write each of the following in the given measurement.
We need to convert the given measurements using the metric system. Here are the key conversion factors:
- 1 meter (m) = 100 centimeters (cm)
- 1 meter (m) = 1000 millimeters (mm)
- 1 centimeter (cm) = 10 millimeters (mm)
Let's solve each problem step by step:
---
1. 250 cm = _______ m
To convert centimeters to meters, divide by 100:
\[
250 \, \text{cm} \div 100 = 2.5 \, \text{m}
\]
Answer: \( 2.5 \, \text{m} \)
---
2. 3600 mm = _______ cm
To convert millimeters to centimeters, divide by 10:
\[
3600 \, \text{mm} \div 10 = 360 \, \text{cm}
\]
Answer: \( 360 \, \text{cm} \)
---
3. 5.6 m = _______ cm
To convert meters to centimeters, multiply by 100:
\[
5.6 \, \text{m} \times 100 = 560 \, \text{cm}
\]
Answer: \( 560 \, \text{cm} \)
---
4. 630 cm = _______ mm
To convert centimeters to millimeters, multiply by 10:
\[
630 \, \text{cm} \times 10 = 6300 \, \text{mm}
\]
Answer: \( 6300 \, \text{mm} \)
---
5. 456 cm = _______ m
To convert centimeters to meters, divide by 100:
\[
456 \, \text{cm} \div 100 = 4.56 \, \text{m}
\]
Answer: \( 4.56 \, \text{m} \)
---
6. 930 mm = _______ m
To convert millimeters to meters, divide by 1000:
\[
930 \, \text{mm} \div 1000 = 0.93 \, \text{m}
\]
Answer: \( 0.93 \, \text{m} \)
---
7. 7.32 m = _______ cm
To convert meters to centimeters, multiply by 100:
\[
7.32 \, \text{m} \times 100 = 732 \, \text{cm}
\]
Answer: \( 732 \, \text{cm} \)
---
8. 8.32 m = _______ mm
To convert meters to millimeters, multiply by 1000:
\[
8.32 \, \text{m} \times 1000 = 8320 \, \text{mm}
\]
Answer: \( 8320 \, \text{mm} \)
---
9. 4000 mm = _______ m
To convert millimeters to meters, divide by 1000:
\[
4000 \, \text{mm} \div 1000 = 4 \, \text{m}
\]
Answer: \( 4 \, \text{m} \)
---
10. 10.370 mm = _______ cm
To convert millimeters to centimeters, divide by 10:
\[
10.370 \, \text{mm} \div 10 = 1.037 \, \text{cm}
\]
Answer: \( 1.037 \, \text{cm} \)
---
Part 2: Use <, >, or = to make each statement true.
We need to compare the given measurements after converting them to the same unit.
---
a) 25 cm _______ 2.5 mm
Convert 25 cm to mm:
\[
25 \, \text{cm} \times 10 = 250 \, \text{mm}
\]
Now compare:
\[
250 \, \text{mm} > 2.5 \, \text{mm}
\]
Answer: \( > \)
---
b) 370 mm _______ 6 m
Convert 6 m to mm:
\[
6 \, \text{m} \times 1000 = 6000 \, \text{mm}
\]
Now compare:
\[
370 \, \text{mm} < 6000 \, \text{mm}
\]
Answer: \( < \)
---
c) 23 cm _______ 23 mm
Convert 23 cm to mm:
\[
23 \, \text{cm} \times 10 = 230 \, \text{mm}
\]
Now compare:
\[
230 \, \text{mm} > 23 \, \text{mm}
\]
Answer: \( > \)
---
d) 780 cm _______ 7.8 m
Convert 780 cm to m:
\[
780 \, \text{cm} \div 100 = 7.8 \, \text{m}
\]
Now compare:
\[
7.8 \, \text{m} = 7.8 \, \text{m}
\]
Answer: \( = \)
---
e) 2300 mm _______ 4 m
Convert 4 m to mm:
\[
4 \, \text{m} \times 1000 = 4000 \, \text{mm}
\]
Now compare:
\[
2300 \, \text{mm} < 4000 \, \text{mm}
\]
Answer: \( < \)
---
f) 160 cm _______ 200 mm
Convert 160 cm to mm:
\[
160 \, \text{cm} \times 10 = 1600 \, \text{mm}
\]
Now compare:
\[
1600 \, \text{mm} > 200 \, \text{mm}
\]
Answer: \( > \)
---
g) 543 mm _______ 1 m
Convert 1 m to mm:
\[
1 \, \text{m} \times 1000 = 1000 \, \text{mm}
\]
Now compare:
\[
543 \, \text{mm} < 1000 \, \text{mm}
\]
Answer: \( < \)
---
h) 0.6 m _______ 30 cm
Convert 0.6 m to cm:
\[
0.6 \, \text{m} \times 100 = 60 \, \text{cm}
\]
Now compare:
\[
60 \, \text{cm} > 30 \, \text{cm}
\]
Answer: \( > \)
---
i) 106 mm _______ 12 cm
Convert 12 cm to mm:
\[
12 \, \text{cm} \times 10 = 120 \, \text{mm}
\]
Now compare:
\[
106 \, \text{mm} < 120 \, \text{mm}
\]
Answer: \( < \)
---
j) 1000 mm _______ 1 m
Convert 1000 mm to m:
\[
1000 \, \text{mm} \div 1000 = 1 \, \text{m}
\]
Now compare:
\[
1 \, \text{m} = 1 \, \text{m}
\]
Answer: \( = \)
---
Final Answers:
#### Part 1:
1. \( 2.5 \, \text{m} \)
2. \( 360 \, \text{cm} \)
3. \( 560 \, \text{cm} \)
4. \( 6300 \, \text{mm} \)
5. \( 4.56 \, \text{m} \)
6. \( 0.93 \, \text{m} \)
7. \( 732 \, \text{cm} \)
8. \( 8320 \, \text{mm} \)
9. \( 4 \, \text{m} \)
10. \( 1.037 \, \text{cm} \)
#### Part 2:
a) \( > \)
b) \( < \)
c) \( > \)
d) \( = \)
e) \( < \)
f) \( > \)
g) \( < \)
h) \( > \)
i) \( < \)
j) \( = \)
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Part 1:} \\
1. \, 2.5 \, \text{m} \\
2. \, 360 \, \text{cm} \\
3. \, 560 \, \text{cm} \\
4. \, 6300 \, \text{mm} \\
5. \, 4.56 \, \text{m} \\
6. \, 0.93 \, \text{m} \\
7. \, 732 \, \text{cm} \\
8. \, 8320 \, \text{mm} \\
9. \, 4 \, \text{m} \\
10. \, 1.037 \, \text{cm} \\
\\
\text{Part 2:} \\
a) \, > \\
b) \, < \\
c) \, > \\
d) \, = \\
e) \, < \\
f) \, > \\
g) \, < \\
h) \, > \\
i) \, < \\
j) \, = \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of m m math worksheet.