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The problem asks for completing the tables and determining the constant of proportionality between millimeters and centimeters, where \( 1 \) centimeter equals \( 10 \) millimeters. 

### Table 1: Millimeters to Centimeters
The relationship between millimeters (mm) and centimeters (cm) is given by:
\[
1 \, \text{cm} = 10 \, \text{mm}
\]
Thus, to convert millimeters to centimeters, you divide the number of millimeters by 10.

#### Completing the first table:
| Millimeters (mm) | Centimeters (cm) |
|------------------|------------------|
| 10               | \( 10 \div 10 = 1 \) |
| 35               | \( 35 \div 10 = 3.5 \) |
| 0.15             | \( 0.15 \div 10 = 0.015 \) |
| 0.05             | \( 0.05 \div 10 = 0.005 \) |
| 0.2              | \( 0.2 \div 10 = 0.02 \) |

### Table 2: Centimeters to Millimeters
Here, to convert centimeters to millimeters, multiply the number of centimeters by 10.

#### Completing the second table:
| Centimeters (cm) | Millimeters (mm) |
|------------------|------------------|
| 1                | \( 1 \times 10 = 10 \) |
| 8                | \( 8 \times 10 = 80 \) |
| 15               | \( 15 \times 10 = 150 \) |
| 0.7              | \( 0.7 \times 10 = 7 \) |

### Constant of Proportionality:
The constant of proportionality between centimeters and millimeters is always \( 10 \) because:
\[
1 \, \text{cm} = 10 \, \text{mm}
\]
Thus, for **both tables**, the constant of proportionality is **10**.

### Final Answer:
- Constant of Proportionality: **10**.

Would you like more explanation or have any questions?

Here are 5 related questions:
1. What is the conversion of 0.45 cm to millimeters?
2. How many centimeters are in 50 millimeters?
3. What would the table look like if the constant of proportionality were 5?
4. If 1 meter equals 100 centimeters, how many millimeters are in 1 meter?
5. How would you express 25 millimeters in terms of centimeters?

**Tip**: When converting between units, remember that proportionality means multiplying or dividing by a constant number to maintain the correct ratio.

Complete the tables and determine the constant of proportionality between millimeters and centimeters, where 1 centimeter equals 10 millimeters.

Solve proportionality problems involving millimeters and centimeters. Learn how to complete conversion tables and determine the constant of proportionality where 1 cm equals 10 mm. Perfect for Grade 7 students.

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