convert 2.22 x 10^(-5) mm into mm. (m = 10^(-3) and m = 10^6). calculate the final answer. choose two…

Explanation:

Step1: Convert mm to m

Since (1\ mm = 10^{-3}\ m), then (2.22\times10^{-5}\ mm=(2.22\times 10^{-5})\times(10^{-3})\ m = 2.22\times10^{-8}\ m).

Step2: Convert m to Mm

Since (1\ Mm = 10^{6}\ m), then to convert (2.22\times 10^{-8}\ m) to Mm, we use the conversion factor (\frac{1\ Mm}{10^{6}\ m}). So ((2.22\times 10^{-8}\ m)\times\frac{1\ Mm}{10^{6}\ m}=2.22\times10^{-14}\ Mm).

Answer:

The correct conversion of (2.22\times 10^{-5}\ mm) to Mm is (2.22\times 10^{-14}\ Mm). But looking at the options - the correct way to convert from (2.22\times 10^{-8}\ m) to Mm is by multiplying by (\frac{1\ Mm}{10^{6}\ m}). So the correct - looking options based on the work shown in the problem setup (even though the options are a bit jumbled in presentation) are:

1. ((2.22\times 10^{-8}\ m)\times\frac{1\ Mm}{10^{6}\ m}=2.22\times 10^{-14}\ Mm)
2. The correct conversion factor from m to Mm is (\frac{1\ Mm}{10^{6}\ m}), so an option showing the correct multiplication of (2.22\times 10^{-8}\ m) by (\frac{1\ Mm}{10^{6}\ m}) would be correct. If we assume the intention of the options:
   • Option 1: ((2.22\times 10^{-8}\ m)\left(\frac{1\ Mm}{10^{6}\ m}\right)=2.22\times 10^{-14}\ Mm)
   • Option 2: The correct setup for conversion from (2.22\times 10^{-8}\ m) to Mm is ((2.22\times 10^{-8}\ m)\times\frac{1\ Mm}{10^{6}\ m}) which is equivalent to the correct way of expressing the conversion in the context of the given options. There seems to be some typos in the options, but the key is the use of the conversion factor (\frac{1\ Mm}{10^{6}\ m}). So the two - correct 'conceptually' options are the ones that use the correct (m - Mm) conversion factor. If we had to pick two options based on the work shown in the problem:
     • Option 1: The first option that shows ((2.22\times 10^{-8}\ m)) multiplied by (\frac{1\ Mm}{10^{6}\ m}) (even if not written in a completely clean way in the given options)
     • Option 2: The option that correctly shows the final result of (2.22\times 10^{-14}\ Mm) after the conversion. Since the options are not in a very standard format, if we assume the intention:
       • Option A: ((2.22\times 10^{-8}\ m)\left(\frac{1\ Mm}{10^{6}\ m}\right)) (showing the correct conversion factor usage)
       • Option B: (2.22\times 10^{-14}\ Mm) (the correct final result of the conversion)