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To determine the number of significant figures in the given measurements, let's analyze each one:

a. **0.102 m**  
- **Significant Figures**: 3  
- **Explanation**: The number 0.102 has three significant figures: 1, 0, and 2. The leading zero is not significant.

b. **1.002 dm**  
- **Significant Figures**: 4  
- **Explanation**: The number 1.002 has four significant figures: 1, 0, 0, and 2. All the digits are significant, including the zeros between non-zero digits.

c. **105 kg**  
- **Significant Figures**: 3  
- **Explanation**: The number 105 has three significant figures: 1, 0, and 5. The trailing zero in a whole number without a decimal point is significant.

d. **0.001020 km**  
- **Significant Figures**: 4  
- **Explanation**: The number 0.001020 has four significant figures: 1, 0, 2, and the trailing zero. The leading zeros are not significant.

e. **1000000 µg**  
- **Significant Figures**: 1  
- **Explanation**: The number 1000000 has one significant figure: 1. The trailing zeros in this case are not significant as there's no decimal point.

Would you like further details on this topic or have any questions? Here are five related questions to deepen your understanding:

1. How do significant figures affect the precision of a measurement?
2. What rules determine which zeros in a number are significant?
3. How would you express the number 1000000 µg in scientific notation to indicate three significant figures?
4. Can significant figures change when converting between units (e.g., from meters to kilometers)?
5. How do you determine significant figures when performing mathematical operations, like addition or multiplication?

**Tip:** When converting measurements, always consider how the conversion impacts the significant figures, especially when dealing with very large or very small numbers.

Determine the number of significant figures in the following measurements: a. 0.102 m, b. 1.002 dm, c. 105 kg, d. 0.001020 km, e. 1000000 µg.

Learn how to determine the number of significant figures in various measurements, including 0.102 m, 1.002 dm, 105 kg, 0.001020 km, and 1000000 µg. This tutorial explains the rules for identifying significant figures and helps improve your understanding of measurement precision.

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