Use scientific notation to express each quantity with only the...

Question

Use scientific notation to express each quantity with only the base unit.

a) 83 µm

b) 193 kg

c) 2.7 mmol

Accepted Answer

So here in this practice question it says use scientific notation to express each quantity with only the base unit. So remember our metric prefix is what goes in front of our base unit. So micro meters, the metric prefixes micro to the base unit is meters in kilograms kilos. Our metric prefix the base unit is grams and in many moles millie is our metric prefix. So moles is our base unit. So we take a look at the first one. We have to go from micrograms or micro meters actually to just meters. Okay, so remember micro is our metric prefix to get rid of it to cancel out the units. It has to go here on the bottom. Remember one micro Is 10 to the -6. We put this in parentheses. Micro meters cancel out. So you should get as your answer here 8.3 times 10 to the negative five m For the next one. We have to go from kg to the base unit of grants. So we have 193 kilograms or kilograms. We need to get rid of kilograms. So we have to put it on the bottom and grams on the top coefficient of one goes on the same side with the kilo on with the metric prefix. So one kg is 10 to the three. So remember to place this in parenthesis, kilograms here cancel out will be left with grams at the end. So here you'll get 1.93 times 10 to the five g. Then finally we have millie moles. So we have 2.7 millie moles. We want to get rid of millie mole, so it goes on the bottom and then we have moles on the top. So remember from your metric prefix multipliers chart one milli is 10 to the negative. Three. Put this in parenthesis. This in parentheses. Here, we're gonna see that millie moles cancel out. So at the end we get 2.7 times 10 to the -3 moles. Remember this is just a simple metric conversion question. We're going from a metric prefix to just the base units, so just remove the metric prefix and you'll have your answer. Doing so in this particular question allowed us to go from standard notation to scientific notation.

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