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 micrometers, the metric prefix is micro, so the base unit is meters. In kilograms, kilo is our metric prefix, the base unit is grams. And in millimoles, milli is our metric prefix, so moles is our base unit. So if we take a look at the first one, we have to go from micrograms or micrometers 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, 1 micro is 10 to the negative 6. We put this in parentheses, micrometers cancel out, so you should get as your answer here 8.3 times 10 to the negative 5 meters. For the next one, we have to go from kilograms to the base unit of grams. So we have 193 kilograms, so kilograms. We need to get rid of kilograms, so we have to put it on the bottom and grams on the top. Coefficient of 1 goes on the same side with the Kilo with the metric prefix, so 1 kilo is 10 to the 3. So remember to place this in parenthesis. Kilograms here cancel out and we'll be left with grams at the end. So here you'll get 1.93 times 10 to the 5 grams. Then finally, we have millimoles, so we have 2.7 millimoles. We wanna get rid of millimoles, so it goes on the bottom, and then we have moles on the top. So remember from your metric prefix, multipliers chart, 1 milli is 10 to the negative 3. Put this in parentheses. Oops. Put this in parentheses. Here, we're gonna see that millimoles cancel out. So at the end, we get 2.7 times 10 to the negative 3 moles. So remember, this is just a simple metrics 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.

Struggling with Introduction to Chemistry?

Use scientific notation to express each quantity with only the base unit.
a) 83 µm
b) 193 kg
c) 2.7 mmol

Watch next

Metric Prefixes practice set

Struggling with Introduction to Chemistry?

Use scientific notation to express each quantity with only the base unit. a) 83 µmb) 193 kgc) 2.7 mmol

Watch next

Metric Prefixes practice set

Use scientific notation to express each quantity with only the base unit.
a) 83 µm
b) 193 kg
c) 2.7 mmol