Of course! Let's express each measurement using the appropriate SI prefix, step-by-step.
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a. 0.0135 meters
To determine the appropriate SI prefix for 0.0135 meters, we need to find a factor that simplifies this measurement with the correct prefix:
1. 0.0135 is equivalent to [tex]\(13.5 \times 10^{-3}\)[/tex].
2. The prefix for [tex]\(10^{-3}\)[/tex] is 'milli' (m).
Thus, [tex]\(0.0135\)[/tex] meters is [tex]\(13.5\)[/tex] millimeters (m).
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b. 5568 meters
Next, we look for an appropriate SI prefix for 5568 meters:
1. 5568 is equivalent to [tex]\(5.568 \times 10^{3}\)[/tex].
2. The prefix for [tex]\(10^{3}\)[/tex] is 'kilo' (k).
Thus, [tex]\(5568\)[/tex] meters is [tex]\(5.568\)[/tex] kilometers (k).
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c. 6890000 meters
To find the correct SI prefix for 6890000 meters, we proceed as follows:
1. 6890000 is equivalent to [tex]\(6.89 \times 10^{6}\)[/tex].
2. The prefix for [tex]\(10^{6}\)[/tex] is 'mega' (M).
Thus, [tex]\(6890000\)[/tex] meters is [tex]\(6.89\)[/tex] megameters (M).
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d. 0.00000000542 meters
Lastly, we determine the appropriate SI prefix for 0.00000000542 meters:
1. 0.00000000542 is equivalent to [tex]\(5.42 \times 10^{-9}\)[/tex].
2. The prefix for [tex]\(10^{-9}\)[/tex] is 'nano' (n).
Thus, [tex]\(0.00000000542\)[/tex] meters is [tex]\(5.42\)[/tex] nanometers (n).
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In summary, the measurements using the proper SI prefixes are:
a. [tex]\(0.0135\)[/tex] meters = [tex]\(13.5\)[/tex] millimeters (m)
b. [tex]\(5568\)[/tex] meters = [tex]\(5.568\)[/tex] kilometers (k)
c. [tex]\(6890000\)[/tex] meters = [tex]\(6.89\)[/tex] megameters (M)
d. [tex]\(0.00000000542\)[/tex] meters = [tex]\(5.42\)[/tex] nanometers (n)
