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.
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####
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:
$$
30 \text{ dollars} \times 100 = 3000 \text{ cents}
$$
---
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:
$$
\boxed{
\begin{aligned}
&\text{1. } 400 \text{ mm}, 150 \text{ mm}, 530 \text{ mm}, 920 \text{ mm} \\
&\text{2. } 5.7 \text{ cm}, 6.2 \text{ cm}, 13.2 \text{ cm}, 5.2 \text{ cm} \\
&\text{3. } \$0.85, \$5.62, \$5.12, \$5.72 \\
&\text{4. } 4500 \text{ cents}, 9500 \text{ cents}, 2500 \text{ cents}, 3000 \text{ cents}
\end{aligned}
}
$$
Parent Tip: Review the logic above to help your child master the concept of unit conversions practice worksheets.