Certainly! Let's work through the problem step-by-step to convert 28 nanometers into meters and express the answer in correct scientific notation.
1. Understanding the Conversion Factor:
- We know that 1 nanometer (nm) is equal to [tex]\(1 \times 10^{-9}\)[/tex] meters (m). This is our conversion factor.
2. Applying the Conversion Factor:
- To find out how many meters are in 28 nanometers, we multiply the number of nanometers by the conversion factor:
[tex]\[
28 \, \text{nm} \times 1 \times 10^{-9} \, \text{m/nm} = 28 \times 10^{-9} \, \text{m}
\][/tex]
3. Expressing in Scientific Notation:
- The result [tex]\(28 \times 10^{-9}\)[/tex] m is already in scientific notation form [tex]\(a \times 10^b\)[/tex], where [tex]\(a\)[/tex] is the coefficient and [tex]\(b\)[/tex] is the exponent.
4. Identifying the Coefficient and Exponent:
- Here, the coefficient is 28.0 and the exponent is -9.
Therefore, the final answer is:
[tex]\[
28 \, \text{nm} = 28 \times 10^{-9} \, \text{m}
\][/tex]
You would enter the coefficient [tex]\(28.0\)[/tex] in the green box and the exponent [tex]\(-9\)[/tex] in the yellow box.
