Converting Units of Measurement worksheet - Free Printable

Problem: Converting Units of Measurement

The task involves filling in the blanks for various unit conversions. Let's solve it step by step.

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#### Step 1: Basic Conversion Factors
We need to know the basic conversion factors for each type of measurement:

1. Length:
- 1 meter (m) = 100 centimeters (cm)

2. Weight:
- 1 kilogram (kg) = 1000 grams (g)

3. Capacity:
- 1 liter (L) = 1000 milliliters (mL)

Using these, we can fill in the blanks in the first section:

- 1 m = 100 cm
- 1 kg = 1000 g
- 1 L = 1000 mL

So, the first section becomes:
```
Fill in the blanks:
1 m = 100 cm
1 kg = 1000 g
1 L = 1000 mL
```

---

#### Step 2: Solve Each Conversion Problem

Now, let's solve the individual problems one by one.

1. 400 cm = ____ m
- Since 1 m = 100 cm, we divide by 100:
\[
400 \, \text{cm} \div 100 = 4 \, \text{m}
\]
- Answer: 4 m

2. 7 L = ____ mL
- Since 1 L = 1000 mL, we multiply by 1000:
\[
7 \, \text{L} \times 1000 = 7000 \, \text{mL}
\]
- Answer: 7000 mL

3. 9000 g = ____ kg
- Since 1 kg = 1000 g, we divide by 1000:
\[
9000 \, \text{g} \div 1000 = 9 \, \text{kg}
\]
- Answer: 9 kg

4. 6 m = ____ cm
- Since 1 m = 100 cm, we multiply by 100:
\[
6 \, \text{m} \times 100 = 600 \, \text{cm}
\]
- Answer: 600 cm

5. 5,500 g = ____ kg ____ g
- First, convert grams to kilograms:
\[
5500 \, \text{g} \div 1000 = 5 \, \text{kg} \, 500 \, \text{g}
\]
- Answer: 5 kg 500 g

6. 8100 mL = ____ L ____ mL
- Convert milliliters to liters:
\[
8100 \, \text{mL} \div 1000 = 8 \, \text{L} \, 100 \, \text{mL}
\]
- Answer: 8 L 100 mL

7. 770 cm = ____ m ____ cm
- Convert centimeters to meters:
\[
770 \, \text{cm} \div 100 = 7 \, \text{m} \, 70 \, \text{cm}
\]
- Answer: 7 m 70 cm

8. 23,470 mL = ____ L ____ mL
- Convert milliliters to liters:
\[
23470 \, \text{mL} \div 1000 = 23 \, \text{L} \, 470 \, \text{mL}
\]
- Answer: 23 L 470 mL

9. 12 kg = ____ g
- Since 1 kg = 1000 g, we multiply by 1000:
\[
12 \, \text{kg} \times 1000 = 12000 \, \text{g}
\]
- Answer: 12000 g

10. 48 L = ____ mL
- Since 1 L = 1000 mL, we multiply by 1000:
\[
48 \, \text{L} \times 1000 = 48000 \, \text{mL}
\]
- Answer: 48000 mL

---

#### Final Answers
1. 400 cm = 4 m
2. 7 L = 7000 mL
3. 9000 g = 9 kg
4. 6 m = 600 cm
5. 5,500 g = 5 kg 500 g
6. 8100 mL = 8 L 100 mL
7. 770 cm = 7 m 70 cm
8. 23,470 mL = 23 L 470 mL
9. 12 kg = 12000 g
10. 48 L = 48000 mL

---

Boxed Final Answer

\[
\boxed{
\begin{aligned}
&1. \, 4 \, \text{m} \\
&2. \, 7000 \, \text{mL} \\
&3. \, 9 \, \text{kg} \\
&4. \, 600 \, \text{cm} \\
&5. \, 5 \, \text{kg} \, 500 \, \text{g} \\
&6. \, 8 \, \text{L} \, 100 \, \text{mL} \\
&7. \, 7 \, \text{m} \, 70 \, \text{cm} \\
&8. \, 23 \, \text{L} \, 470 \, \text{mL} \\
&9. \, 12000 \, \text{g} \\
&10. \, 48000 \, \text{mL}
\end{aligned}
}
\]