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I do know that it is easier and less confusing if we write down and cancel out all of our units when calculating with dimensional analysis but does this also apply to when we're using the Avogadros number or any other dimension in the future that contains complicated units?
Yes, it is much easier to write out units using dimensional analysis because it allows us to see what units are canceling and what are not. Even though it might take extra time it could save silly mistakes that pay off in the future.
I feel that writing out my units makes it a little easier for me to understand where the problem is headed and what final units I need to end up with are. It does take up space and more time, but in the end it's better for understanding as a whole.
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