Math worksheet for practicing unit conversions.

Problem: Converting Units of Measure

The task involves converting various measurements and monetary values between different units. Let's solve each section step by step.

---

#### Section 1: Convert these centimeters to millimeters

We know that:
$$
1 \text{ cm} = 10 \text{ mm}
$$

1. 40 cm to mm:
$$
40 \text{ cm} \times 10 = 400 \text{ mm}
$$

2. 15 cm to mm:
$$
15 \text{ cm} \times 10 = 150 \text{ mm}
$$

3. 53 cm to mm:
$$
53 \text{ cm} \times 10 = 530 \text{ mm}
$$

4. 92 cm to mm:
$$
92 \text{ cm} \times 10 = 920 \text{ mm}
$$

---

#### Section 2: Convert these millimeters to centimeters

We know that:
$$
1 \text{ mm} = 0.1 \text{ cm} \quad \text{or equivalently,} \quad 10 \text{ mm} = 1 \text{ cm}
$$

1. 57 mm to cm:
$$
57 \text{ mm} \div 10 = 5.7 \text{ cm}
$$

2. 62 mm to cm:
$$
62 \text{ mm} \div 10 = 6.2 \text{ cm}
$$

3. 132 mm to cm:
$$
132 \text{ mm} \div 10 = 13.2 \text{ cm}
$$

4. 52 mm to cm:
$$
52 \text{ mm} \div 10 = 5.2 \text{ cm}
$$

---

#### Section 3: Convert these cents to dollars

We know that:
$$
1 \text{ dollar} = 100 \text{ cents}
$$

1. 85 cents to dollars:
$$
85 \text{ cents} \div 100 = 0.85 \text{ dollars}
$$

2. 562 cents to dollars:
$$
562 \text{ cents} \div 100 = 5.62 \text{ dollars}
$$

3. 512 cents to dollars:
$$
512 \text{ cents} \div 100 = 5.12 \text{ dollars}
$$

4. 572 cents to dollars:
$$
572 \text{ cents} \div 100 = 5.72 \text{ dollars}
$$

---

#### Section 4: Convert these dollars to cents

We know that:
$$
1 \text{ dollar} = 100 \text{ cents}
$$

1. 45 dollars to cents:
$$
45 \text{ dollars} \times 100 = 4500 \text{ cents}
$$

2. 95 dollars to cents:
$$
95 \text{ dollars} \times 100 = 9500 \text{ cents}
$$

3. 25 dollars to cents:
$$
25 \text{ dollars} \times 100 = 2500 \text{ cents}
$$

4. 30 dollars to cents:
$$
30 \text{ dollars} \times 100 = 3000 \text{ cents}
$$

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Final Answers:

1. Centimeters to Millimeters:
- 40 cm = 400 mm
- 15 cm = 150 mm
- 53 cm = 530 mm
- 92 cm = 920 mm

2. Millimeters to Centimeters:
- 57 mm = 5.7 cm
- 62 mm = 6.2 cm
- 132 mm = 13.2 cm
- 52 mm = 5.2 cm

3. Cents to Dollars:
- 85 cents = $0.85
- 562 cents = $5.62
- 512 cents = $5.12
- 572 cents = $5.72

4. Dollars to Cents:
- 45 dollars = 4500 cents
- 95 dollars = 9500 cents
- 25 dollars = 2500 cents
- 30 dollars = 3000 cents

---

Boxed Final Answer:

$$
\boxed{
\begin{aligned}
&\text{1. } 400 \text{ mm}, 150 \text{ mm}, 530 \text{ mm}, 920 \text{ mm} \\
&\text{2. } 5.7 \text{ cm}, 6.2 \text{ cm}, 13.2 \text{ cm}, 5.2 \text{ cm} \\
&\text{3. } \$0.85, \$5.62, \$5.12, \$5.72 \\
&\text{4. } 4500 \text{ cents}, 9500 \text{ cents}, 2500 \text{ cents}, 3000 \text{ cents}
\end{aligned}
}
$$