To convert 749 nanometers (nm) to meters (m), we need to use the fact that 1 meter (m) is equal to 1 x 10^9 nanometers (nm). Here’s a detailed, step-by-step solution:
1. Identify the given value and the conversion factor:
- We are given a length of 749 nanometers (nm).
- We know the conversion factor is that 1 meter (m) is equal to 1 x 10^9 nanometers (nm).
2. Set up the conversion:
[tex]\[
749 \, \text{nm} \times \left( \frac{1 \, \text{m}}{1 \times 10^9 \, \text{nm}} \right)
\][/tex]
3. Perform the conversion:
- Divide the given value in nanometers by the conversion factor:
[tex]\[
749 \, \text{nm} \div 1 \times 10^9 = 7.49 \times 10^{-7} \, \text{m}
\][/tex]
4. Ensure significant figures are correct:
- The original number (749) has 3 significant figures.
- Our answer should also have 3 significant figures accordingly.
5. Write the final answer:
[tex]\[
749 \, \text{nm} = 7.49 \times 10^{-7} \, \text{m}
\][/tex]
Therefore, 749 nanometers is equal to [tex]\( 7.49 \times 10^{-7} \)[/tex] meters.
