https://file.aiquickdraw.com/mathbot/file/1727007248752z80pmatz.jpg

Let's solve each of the problems shown in the image step-by-step:

### 1. \( 0.02 \, \text{jam} + 20 \, \text{menit} = \, \text{detik} \)
- \( 1 \, \text{jam} = 60 \, \text{menit} = 3600 \, \text{detik} \)
- \( 0.02 \, \text{jam} = 0.02 \times 3600 = 72 \, \text{detik} \)
- \( 20 \, \text{menit} = 20 \times 60 = 1200 \, \text{detik} \)
- Total: \( 72 + 1200 = 1272 \, \text{detik} \)

### 2. \( \frac{1}{2} \, \text{menit} + 10 \, \text{detik} = \, \text{jam} \)
- \( \frac{1}{2} \, \text{menit} = 0.5 \times 60 = 30 \, \text{detik} \)
- Total: \( 30 \, \text{detik} + 10 \, \text{detik} = 40 \, \text{detik} \)
- Convert to hours: \( 40 \, \text{detik} = \frac{40}{3600} = 0.0111 \, \text{jam} \)

### 3. \( 0.002 \, \text{hm} + 0.01 \, \text{dam} = \, \text{km} \)
- \( 1 \, \text{hm} = 0.1 \, \text{km} \), so \( 0.002 \, \text{hm} = 0.002 \times 0.1 = 0.0002 \, \text{km} \)
- \( 1 \, \text{dam} = 0.01 \, \text{km} \), so \( 0.01 \, \text{dam} = 0.01 \times 0.01 = 0.0001 \, \text{km} \)
- Total: \( 0.0002 \, \text{km} + 0.0001 \, \text{km} = 0.0003 \, \text{km} \)

### 4. \( 10 \times 10^{-2} \, \text{m} + 4 \times 10^{-4} \, \text{dm} = \, \text{cm} \)
- \( 10 \times 10^{-2} \, \text{m} = 10^{-1} \, \text{m} = 0.1 \, \text{m} = 10 \, \text{cm} \)
- \( 4 \times 10^{-4} \, \text{dm} = 4 \times 10^{-4} \times 10 = 4 \times 10^{-3} \, \text{cm} = 0.004 \, \text{cm} \)
- Total: \( 10 + 0.004 = 10.004 \, \text{cm} \)

### 5. \( 0.0004 \, \text{kg} + 10^{-4} \, \text{kg} = \, \text{g} \)
- Convert both to grams: \( 1 \, \text{kg} = 1000 \, \text{g} \)
- \( 0.0004 \, \text{kg} = 0.0004 \times 1000 = 0.4 \, \text{g} \)
- \( 10^{-4} \, \text{kg} = 10^{-4} \times 1000 = 0.1 \, \text{g} \)
- Total: \( 0.4 + 0.1 = 0.5 \, \text{g} \)

### 6. \( 4.5 \times 10^{-4} : 2 \times 10^{-6} = \, \text{result} \)
- Division: \( \frac{4.5 \times 10^{-4}}{2 \times 10^{-6}} = 2.25 \times 10^2 = 225 \)

### 7. \( 0.00125 \times 10^{-2} = 0.001 \times 10^{-9} \times 10^{-5} = \, \text{result} \)
- Simplify the left side: \( 0.00125 \times 10^{-2} = 1.25 \times 10^{-5} \)
- Simplify the right side: \( 0.001 \times 10^{-9} \times 10^{-5} = 10^{-3} \times 10^{-9} \times 10^{-5} = 10^{-17} \)

### 8. \( 2 \times 10^{-4} \, \text{jam} - 4 \times 10^{-2} \, \text{menit} = \, \text{result} \)
- Convert everything to hours: 
  - \( 4 \times 10^{-2} \, \text{menit} = 4 \times 10^{-2} \times \frac{1}{60} = 6.67 \times 10^{-4} \, \text{jam} \)
- Subtraction: \( 2 \times 10^{-4} \, \text{jam} - 6.67 \times 10^{-4} \, \text{jam} = -4.67 \times 10^{-4} \, \text{jam} \)

### 9. \( 2 \times 10^{-2} \times 4 \times 10^{-4} : 2 \times 10^{-5} = \, \text{result} \)
- Multiplication: \( 2 \times 10^{-2} \times 4 \times 10^{-4} = 8 \times 10^{-6} \)
- Division: \( \frac{8 \times 10^{-6}}{2 \times 10^{-5}} = 0.4 \)

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Would you like further details or clarifications on any of these solutions?

Here are 5 related questions to expand your understanding:
1. How do you convert time units such as hours, minutes, and seconds?
2. What is the process of converting between different metric units?
3. How do you solve problems involving scientific notation and powers of 10?
4. What are the common mistakes when converting between units?
5. How can you apply dimensional analysis to check the consistency of units in calculations?

**Tip**: When working with scientific notation, pay close attention to the exponents, especially when multiplying or dividing values.

The image contains a series of mathematical problems involving unit conversions, scientific notation, and basic arithmetic operations.

Solve unit conversion and scientific notation problems step-by-step. Learn about converting time, distance, and mass, and performing operations using scientific notation. Suitable for high school students.

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