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The task in the image asks to rewrite numbers in scientific notation. Let's go through each item and convert them to scientific notation, step by step.

1. **Altitude of summit of Mt. Ka'ala: 4020 ft**  
   To convert 4020 into scientific notation:  
   \[
   4020 = 4.02 \times 10^3 \text{ ft}
   \]

2. **Altitude of summit of Mauna Kea: 13,796 ft**  
   To convert 13,796 into scientific notation:  
   \[
   13,796 = 1.3796 \times 10^4 \text{ ft}
   \]

3. **Thickness of a human hair: 0.015 cm**  
   To convert 0.015 into scientific notation:  
   \[
   0.015 = 1.5 \times 10^{-2} \text{ cm}
   \]

4. **Wavelength of reddish light: 0.0000007 m**  
   To convert 0.0000007 into scientific notation:  
   \[
   0.0000007 = 7 \times 10^{-7} \text{ m}
   \]

5. **Height of your instructor: 180 cm**  
   To convert 180 into scientific notation:  
   \[
   180 = 1.8 \times 10^2 \text{ cm}
   \]

6. **Number of galaxies in the universe: 1 trillion galaxies**  
   1 trillion equals \(1 \times 10^{12}\):  
   \[
   1,000,000,000,000 = 1 \times 10^{12} \text{ galaxies}
   \]

7. **Age of the universe in seconds: 430,000,000,000,000,000,000 s**  
   To convert this number into scientific notation:  
   \[
   430,000,000,000,000,000,000 = 4.3 \times 10^{20} \text{ s}
   \]

8. **Volume of a H₂ atom: 0.000 000 000 000 000 000 000 000 000 000 000 000 000 621 cm³**  
   This is a very small number, and converting it to scientific notation gives:  
   \[
   0.000000000000000000000000000000000000000621 = 6.21 \times 10^{-46} \text{ cm}^3
   \]

Would you like further explanation on any of these conversions or additional details on scientific notation?

### Relative Questions:
1. How would you convert a larger number like 25,000,000 to scientific notation?
2. Can you explain why negative exponents are used for small decimal numbers?
3. What does it mean when the exponent is positive in scientific notation?
4. How does scientific notation help in fields like astronomy?
5. How would you express a number like 0.000456 in scientific notation?

**Tip:** Scientific notation is extremely useful for handling very large or very small numbers, as it allows easier readability and comparison across scales.

Rewrite the following numbers in scientific notation, in simplest form. Include units where appropriate.

Learn how to convert numbers like 13,796 ft and 0.015 cm into scientific notation with step-by-step explanations. This example includes the conversion of both large and small numbers, using powers of 10, and is suitable for students in Grades 9-12.

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