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The given number is \( 0.000020687 \), and we need to express it in standard index form (scientific notation) to 3 significant figures.

### Steps:
1. **Identify the significant figures**: The number is \( 0.000020687 \). We will round it to 3 significant figures. The first 3 significant digits are \( 2 \), \( 0 \), and \( 7 \). So, rounding \( 0.000020687 \) to 3 significant figures gives \( 0.0000207 \).

2. **Convert to standard index form**: 
   - Move the decimal point 5 places to the right to get \( 2.07 \).
   - Since we moved the decimal 5 places, this gives the exponent \( -5 \) (because the original number is less than 1).
   
Thus, the number in standard index form is:

\[
2.07 \times 10^{-5}
\]

Would you like more details on significant figures or scientific notation? Let me know if you have any further questions.

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Here are 5 related questions to expand your understanding:
1. How do you determine the number of significant figures in a decimal number?
2. Why do we use scientific notation for very small or large numbers?
3. How does rounding affect the accuracy of a number?
4. Can you express \( 3.56 \times 10^{-4} \) in standard form (decimal notation)?
5. What is the difference between standard form and standard index form?

**Tip**: Always check if rounding impacts the exponent when working with scientific notation and significant figures!

Write 0.000020687 in standard index form to 3 significant figures.

Learn how to express 0.000020687 in standard index form (scientific notation) and round it to 3 significant figures. This problem involves key concepts such as significant figures and powers of 10, making it suitable for students in Grades 9-10.

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