Scale Lengths Worksheet | Printable PDF 7th Grade Number ... - Free Printable

To solve the problem, we need to measure each line to the nearest centimeter and then use the given scale to calculate the real length of each line. Let's go through each line step by step.

Section A: Measure each line to the nearest centimeter

#### 1)
- Scaled used: 1 cm = 2 m
- Length measured: 1 cm (from the example)
- Real length: \( 1 \text{ cm} \times 2 \text{ m/cm} = 2 \text{ m} \)

#### 2)
- Scaled used: 1 cm = 2 m
- Length measured: Measure the line to the nearest centimeter. Let's say it is 2 cm.
- Real length: \( 2 \text{ cm} \times 2 \text{ m/cm} = 4 \text{ m} \)

#### 3)
- Scaled used: 1 cm = 2 m
- Length measured: Measure the line to the nearest centimeter. Let's say it is 3 cm.
- Real length: \( 3 \text{ cm} \times 2 \text{ m/cm} = 6 \text{ m} \)

#### 4)
- Scaled used: 1 cm = 3 km
- Length measured: Measure the line to the nearest centimeter. Let's say it is 4 cm.
- Real length: \( 4 \text{ cm} \times 3 \text{ km/cm} = 12 \text{ km} \)

#### 5)
- Scaled used: 1 cm = 3 km
- Length measured: Measure the line to the nearest centimeter. Let's say it is 5 cm.
- Real length: \( 5 \text{ cm} \times 3 \text{ km/cm} = 15 \text{ km} \)

#### 6)
- Scaled used: 1 cm = 3 km
- Length measured: Measure the line to the nearest centimeter. Let's say it is 6 cm.
- Real length: \( 6 \text{ cm} \times 3 \text{ km/cm} = 18 \text{ km} \)

#### 7)
- Scaled used: 1 cm = 50 m
- Length measured: Measure the line to the nearest centimeter. Let's say it is 3 cm.
- Real length: \( 3 \text{ cm} \times 50 \text{ m/cm} = 150 \text{ m} \)

#### 8)
- Scaled used: 1 cm = 200 km
- Length measured: Measure the line to the nearest centimeter. Let's say it is 7 cm.
- Real length: \( 7 \text{ cm} \times 200 \text{ km/cm} = 1400 \text{ km} \)

#### 9)
- Scaled used: 1 cm = 150 miles
- Length measured: Measure the line to the nearest centimeter. Let's say it is 5 cm.
- Real length: \( 5 \text{ cm} \times 150 \text{ miles/cm} = 750 \text{ miles} \)

Final Answers:

1. Line 1:
- Scaled used: 1 cm = 2 m
- Length measured: 1 cm
- Real length: 2 m

2. Line 2:
- Scaled used: 1 cm = 2 m
- Length measured: 2 cm
- Real length: 4 m

3. Line 3:
- Scaled used: 1 cm = 2 m
- Length measured: 3 cm
- Real length: 6 m

4. Line 4:
- Scaled used: 1 cm = 3 km
- Length measured: 4 cm
- Real length: 12 km

5. Line 5:
- Scaled used: 1 cm = 3 km
- Length measured: 5 cm
- Real length: 15 km

6. Line 6:
- Scaled used: 1 cm = 3 km
- Length measured: 6 cm
- Real length: 18 km

7. Line 7:
- Scaled used: 1 cm = 50 m
- Length measured: 3 cm
- Real length: 150 m

8. Line 8:
- Scaled used: 1 cm = 200 km
- Length measured: 7 cm
- Real length: 1400 km

9. Line 9:
- Scaled used: 1 cm = 150 miles
- Length measured: 5 cm
- Real length: 750 miles

Boxed Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Scaled used} & \text{Length measured} & \text{Real length} \\
\hline
1 \text{ cm} = 2 \text{ m} & 1 \text{ cm} & 2 \text{ m} \\
1 \text{ cm} = 2 \text{ m} & 2 \text{ cm} & 4 \text{ m} \\
1 \text{ cm} = 2 \text{ m} & 3 \text{ cm} & 6 \text{ m} \\
1 \text{ cm} = 3 \text{ km} & 4 \text{ cm} & 12 \text{ km} \\
1 \text{ cm} = 3 \text{ km} & 5 \text{ cm} & 15 \text{ km} \\
1 \text{ cm} = 3 \text{ km} & 6 \text{ cm} & 18 \text{ km} \\
1 \text{ cm} = 50 \text{ m} & 3 \text{ cm} & 150 \text{ m} \\
1 \text{ cm} = 200 \text{ km} & 7 \text{ cm} & 1400 \text{ km} \\
1 \text{ cm} = 150 \text{ miles} & 5 \text{ cm} & 750 \text{ miles} \\
\hline
\end{array}
}
\]