Converting Between Common Metric Length, Mass and Volume Units (A) - Free Printable

To solve the conversions, we need to use the relationships between different units of length in the metric system. Here are the key conversion factors:

- 1 meter (m) = 100 centimeters (cm)
- 1 meter (m) = 1000 millimeters (mm)
- 1 decimeter (dm) = 0.1 meter (m)
- 1 dekameter (dam) = 10 meters (m)
- 1 kilometer (km) = 1000 meters (m)

Let's solve each part step by step:

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Part a) \( 1 \, \text{m} = \_\_\_\_\_\_ \, \text{cm} \)

- Conversion: \( 1 \, \text{m} = 100 \, \text{cm} \)
- Answer: \( 100 \)

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Part b) \( 1 \, \text{m} = \_\_\_\_\_\_ \, \text{mm} \)

- Conversion: \( 1 \, \text{m} = 1000 \, \text{mm} \)
- Answer: \( 1000 \)

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Part c) \( 1 \, \text{m} = \_\_\_\_\_\_ \, \text{dm} \)

- Conversion: \( 1 \, \text{m} = 10 \, \text{dm} \)
- Answer: \( 10 \)

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Part d) \( 10 \, \text{m} = \_\_\_\_\_\_ \, \text{mm} \)

- Step 1: Convert meters to millimeters: \( 1 \, \text{m} = 1000 \, \text{mm} \)
- Step 2: Multiply by 10: \( 10 \times 1000 = 10000 \, \text{mm} \)
- Answer: \( 10000 \)

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Part e) \( 10 \, \text{m} = \_\_\_\_\_\_ \, \text{cm} \)

- Step 1: Convert meters to centimeters: \( 1 \, \text{m} = 100 \, \text{cm} \)
- Step 2: Multiply by 10: \( 10 \times 100 = 1000 \, \text{cm} \)
- Answer: \( 1000 \)

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Part f) \( 100 \, \text{m} = \_\_\_\_\_\_ \, \text{mm} \)

- Step 1: Convert meters to millimeters: \( 1 \, \text{m} = 1000 \, \text{mm} \)
- Step 2: Multiply by 100: \( 100 \times 1000 = 100000 \, \text{mm} \)
- Answer: \( 100000 \)

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Part g) \( 100 \, \text{m} = \_\_\_\_\_\_ \, \text{cm} \)

- Step 1: Convert meters to centimeters: \( 1 \, \text{m} = 100 \, \text{cm} \)
- Step 2: Multiply by 100: \( 100 \times 100 = 10000 \, \text{cm} \)
- Answer: \( 10000 \)

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Part h) \( 1000 \, \text{m} = \_\_\_\_\_\_ \, \text{km} \)

- Step 1: Convert meters to kilometers: \( 1 \, \text{km} = 1000 \, \text{m} \)
- Step 2: Divide by 1000: \( 1000 \div 1000 = 1 \, \text{km} \)
- Answer: \( 1 \)

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Part i) \( 1 \, \text{km} = \_\_\_\_\_\_ \, \text{m} \)

- Conversion: \( 1 \, \text{km} = 1000 \, \text{m} \)
- Answer: \( 1000 \)

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Part j) \( 1 \, \text{km} = \_\_\_\_\_\_ \, \text{cm} \)

- Step 1: Convert kilometers to meters: \( 1 \, \text{km} = 1000 \, \text{m} \)
- Step 2: Convert meters to centimeters: \( 1 \, \text{m} = 100 \, \text{cm} \)
- Step 3: Multiply: \( 1000 \times 100 = 100000 \, \text{cm} \)
- Answer: \( 100000 \)

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Part k) \( 1 \, \text{km} = \_\_\_\_\_\_ \, \text{mm} \)

- Step 1: Convert kilometers to meters: \( 1 \, \text{km} = 1000 \, \text{m} \)
- Step 2: Convert meters to millimeters: \( 1 \, \text{m} = 1000 \, \text{mm} \)
- Step 3: Multiply: \( 1000 \times 1000 = 1000000 \, \text{mm} \)
- Answer: \( 1000000 \)

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Part l) \( 10 \, \text{km} = \_\_\_\_\_\_ \, \text{m} \)

- Step 1: Convert kilometers to meters: \( 1 \, \text{km} = 1000 \, \text{m} \)
- Step 2: Multiply by 10: \( 10 \times 1000 = 10000 \, \text{m} \)
- Answer: \( 10000 \)

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Part m) \( 10 \, \text{km} = \_\_\_\_\_\_ \, \text{cm} \)

- Step 1: Convert kilometers to meters: \( 1 \, \text{km} = 1000 \, \text{m} \)
- Step 2: Multiply by 10: \( 10 \times 1000 = 10000 \, \text{m} \)
- Step 3: Convert meters to centimeters: \( 1 \, \text{m} = 100 \, \text{cm} \)
- Step 4: Multiply: \( 10000 \times 100 = 1000000 \, \text{cm} \)
- Answer: \( 1000000 \)

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Part n) \( 1 \, \text{dam} = \_\_\_\_\_\_ \, \text{mm} \)

- Step 1: Convert dekameters to meters: \( 1 \, \text{dam} = 10 \, \text{m} \)
- Step 2: Convert meters to millimeters: \( 1 \, \text{m} = 1000 \, \text{mm} \)
- Step 3: Multiply: \( 10 \times 1000 = 10000 \, \text{mm} \)
- Answer: \( 10000 \)

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Part o) \( 3 \, \text{m} \, 45 \, \text{cm} = \_\_\_\_\_\_ \, \text{cm} \)

- Step 1: Convert meters to centimeters: \( 3 \, \text{m} = 300 \, \text{cm} \)
- Step 2: Add the given centimeters: \( 300 + 45 = 345 \, \text{cm} \)
- Answer: \( 345 \)

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Part p) \( 1 \, \text{cm} = \_\_\_\_\_\_ \, \text{mm} \)

- Conversion: \( 1 \, \text{cm} = 10 \, \text{mm} \)
- Answer: \( 10 \)

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Part q) \( 6 \, \text{m} \, 80 \, \text{mm} = \_\_\_\_\_\_ \, \text{mm} \)

- Step 1: Convert meters to millimeters: \( 6 \, \text{m} = 6000 \, \text{mm} \)
- Step 2: Add the given millimeters: \( 6000 + 80 = 6080 \, \text{mm} \)
- Answer: \( 6080 \)

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Part r) \( 6 \, \text{cm} \, 80 \, \text{mm} = \_\_\_\_\_\_ \, \text{mm} \)

- Step 1: Convert centimeters to millimeters: \( 6 \, \text{cm} = 60 \, \text{mm} \)
- Step 2: Add the given millimeters: \( 60 + 80 = 140 \, \text{mm} \)
- Answer: \( 140 \)

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Part s) \( 3 \, \text{km} \, 400 \, \text{m} = \_\_\_\_\_\_ \, \text{m} \)

- Step 1: Convert kilometers to meters: \( 3 \, \text{km} = 3000 \, \text{m} \)
- Step 2: Add the given meters: \( 3000 + 400 = 3400 \, \text{m} \)
- Answer: \( 3400 \)

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Part t) \( 12 \, \text{km} \, 40 \, \text{m} = \_\_\_\_\_\_ \, \text{m} \)

- Step 1: Convert kilometers to meters: \( 12 \, \text{km} = 12000 \, \text{m} \)
- Step 2: Add the given meters: \( 12000 + 40 = 12040 \, \text{m} \)
- Answer: \( 12040 \)

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Part u) \( 2 \, \text{km} \, \_\_\_\_\_\_ \, \text{m} = 2250 \, \text{m} \)

- Step 1: Convert kilometers to meters: \( 2 \, \text{km} = 2000 \, \text{m} \)
- Step 2: Subtract from the total: \( 2250 - 2000 = 250 \, \text{m} \)
- Answer: \( 250 \)

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Part v) \( \_\_\_\_\_\_ \, \text{km} \, 670 \, \text{m} = 3670 \, \text{m} \)

- Step 1: Subtract the given meters from the total: \( 3670 - 670 = 3000 \, \text{m} \)
- Step 2: Convert meters to kilometers: \( 3000 \, \text{m} = 3 \, \text{km} \)
- Answer: \( 3 \)

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Part w) \( \_\_\_\_\_\_ \, \text{m} \, 40 \, \text{cm} = 440 \, \text{cm} \)

- Step 1: Convert centimeters to meters for the total: \( 440 \, \text{cm} = 4.4 \, \text{m} \)
- Step 2: Subtract the given centimeters: \( 4.4 \, \text{m} - 0.4 \, \text{m} = 4 \, \text{m} \)
- Answer: \( 4 \)

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Part x) \( 9 \, \text{m} \, \_\_\_\_\_\_ \, \text{cm} = 962 \, \text{cm} \)

- Step 1: Convert meters to centimeters: \( 9 \, \text{m} = 900 \, \text{cm} \)
- Step 2: Subtract from the total: \( 962 - 900 = 62 \, \text{cm} \)
- Answer: \( 62 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
a) & 100 \\
b) & 1000 \\
c) & 10 \\
d) & 10000 \\
e) & 1000 \\
f) & 100000 \\
g) & 10000 \\
h) & 1 \\
i) & 1000 \\
j) & 100000 \\
k) & 1000000 \\
l) & 10000 \\
m) & 1000000 \\
n) & 10000 \\
o) & 345 \\
p) & 10 \\
q) & 6080 \\
r) & 140 \\
s) & 3400 \\
t) & 12040 \\
u) & 250 \\
v) & 3 \\
w) & 4 \\
x) & 62 \\
\end{array}
}
\]