**Metric Prefixes** are “labels” that can be placed in front of base units.

**Concept:** Understanding Metric Prefixes

Now, what exactly is a metric prefix? Just understand it's kind of like a label that goes in front of what we call base units.

Now, what's a base unit? Good examples of base units are liters or seconds or grams or moles or minutes, these can be understood as base units and all a metric prefix is is a label that goes in front of that base unit, to describe what kind of base unit we're dealing with.

Here we're going to say we could have deciliters or kiloseconds or nanograms or millimoles or microminutes. The metric prefix is just a way of describing a change that's going on with that base unit, so they're just labels that go in front.

**Concept:** Using the Metric Prefix Chart

If we take a look here at this chart, this gives us a majority of the metric prefix that you're responsible for. Now there are some that go after pico and there are some that go after tera, but for the most part, professors will stick to this core group of metric prefixes.

What we're going to have to say here is, just remember, this is very important, one—is associated with the metric prefix, so one is associated with each one of this metric prefixes. What does that mean?

Let's say I had a picometer. Meter is the base. Pico is the metric prefix that goes in front of it. Since one is associated with my metric prefix, we're going to say 1 picometer is equal to, see right here, 10-12 meters. It's a way of setting things where you form a relationship between the metric prefix and the base.

Let's say I had kilo. So let's say I had kilograms and I wanted to go to grams, so we'd say that for every 1, because kilo is a metric prefix for every 1 kg, it is 103 grams, so that's what I mean by 1 is associated with the metric prefix. So remember that when we're doing these types of metric prefix conversions.

Whenever using the metric prefix chart, remember that “1” is associated with the metric prefix.

**Example:** Convert the following to the desired units.

16.33 pm to m 172 GL to L

4m **Example:** Convert the following to the desired units.

0.73 cs to ns 729 kg to mg

4m **Example:** Convert the following to the desired units.

453 cm** ^{3}** to km

Which of the following sets of units is not in the order of increasing size?

a. mg < g < kg

b. uL < mL < L

c. ns < ms < s

d. mm < pm < cm

e. all of the above are in the correct order.

Watch Solution

How many milligrams of sodium sulfate are equivalent to 0.0562 kg?

a. 5.62 x 10^{-2} mg

b. 5.62 x 10^{4} mg

c. 56.2 mg

d. 5.62 x 10^{10} mg

e. 5.62 x 10^{7} mg

Watch Solution

Which of the following is the smallest mass?

a. 1000 g

b. 1000 ng

c. 1000 mg

d. 1000 kg

e. 1000 ug

Watch Solution

Which statemnent below is correct?

a. 100 mL = 1L

b. 10 mm = 1 cm

c. 150 g is greater than 0.150 kg

d. 1 microsecond = 10^{6} seconds

e. all the above are correct

Watch Solution

One-thousandth of a micrometer is a?

a. picometer

b. meter

c. millimeter

d. nanometer

e. kilometer

Watch Solution

The diameter of the nucleus of an atom is approximately 1 × 10 ^{-15} m. If 1 nm is equal to 10 Ångstroms, what is the diameter of the nucleus in Ångstroms?

A) 1 × 10 ^{-5} Å

B) 1 × 10 ^{-7} Å

C) 1 × 10 ^{-23} Å

D) 1 × 10^{ -8} Å

Watch Solution

Convert 5 μm to meters.

A) 5 × 10 ^{-3} m

B) 5 × 10 ^{-6} m

C) 5 × 10 ^{-9} m

D) 5 × 10 ^{6} m

Watch Solution

The mass of a proton is 1.67 × 10 ^{-27} kg. What is the mass of a proton in nanograms?

A) 1.67 × 10 ^{-12} ng

B) 1.67 × 10 ^{-18} ng

C) 1.67 × 10 ^{-15} ng

D) 1.67 × 10 ^{-21} ng

Watch Solution

Convert 15 m^{3 }to liters.

A) 1.5 L

B) 1.5 × 10 ^{2} L

C) 1.5 × 10 ^{-2} L

D) 1.5 × 10 ^{4 }L

Watch Solution

Convert 100 cm^{3 }to m^{3}.

A) 1 × 10 ^{-4} m ^{3}

B) 1 × 10 ^{8} m ^{3}

C) 1 × 10 ^{4} m ^{3}

D) 1 × 10 ^{0 }m ^{3}

Watch Solution

Convert 2.45 x 10^{-3} km to cm

Watch Solution

The radius of a helium atom 31.4 pm. What is the thickness in Gm?

a. 3.14 x 10^{22}

b. 0.0314

c. 3.14 x 10 ^{-17}

d. 3.14 x 10 ^{4}

e. 3.14 x 10^{-20}

Watch Solution

A number expressed to 10 ^{-6} s, relate to which of the following units?

a. micro seconds

b. nano seconds

c. kilo seconds

d. milli seconds

e. giga seconds

Watch Solution

You are driving 65 mi/h and take your eyes off the road for “just a second.” What distance (in feet) do you travel in this time?

Watch Solution

The Honda Insight, a hybrid electric vehicle, has an EPA gas mileage rating of 57 mi/gal in the city. How many kilometers can the Insight travel on the amount of gasoline that would fit in a soda pop can? The volume of a soda pop can is 355 mL.

Watch Solution

An iceberg has a volume of 7655 cubic feet. What is the mass of the ice (in kg) composing the iceberg?

Watch Solution

How many 1-cm cubes would it take to construct a cube that is 4 cm on edge?

Watch Solution

How many 1 -cm squares would it take to construct a square that is 1 m on each side?

Watch Solution

Express the quantity 556.2 X 10 ^{-12} s in each unit.

a. ms

b. ns

c. ps

d. fs

Watch Solution

Express the quantity 254,998 m in each unit.

a. km

b. Mm

c. mm

d. cm

Watch Solution

Complete the table:

c. 554 mK/s _______K/s _______µK/ms

Watch Solution

Complete the table:

a. 355 km/s _______cm/s _______m/ms

Watch Solution

Complete the table:

d. 3.345 kJ _______J _______mJ

Watch Solution

Complete the table:

c. 122.355 s _______ms _______ks

Watch Solution

Complete the table:

b. 515 km _______dm ________cm

Watch Solution

Complete the table:

a. 1245 kg 1.245 X .10 ^{6} g 1.245 X 10 ^{9} mg

Watch Solution

Use scientific notation to express each quantity with only the base units (no prefix multipliers).

c. 133 Tg

Watch Solution

Use scientific notation to express each quantity with only the base units (no prefix multipliers).

b. 225 Mm

Watch Solution

Use prefix multipliers to express each measurement without any exponents.

d. 87.9 X 10 ^{- 7} L

Watch Solution

Use prefix multipliers to express each measurement without any exponents.

c. 23.4 X 10^{ 11} m

Watch Solution

Use prefix multipliers to express each measurement without any exponents.

b. 55.2 X 10^{ -10} s

Watch Solution

Use prefix multipliers to express each measurement without any exponents.

a. 38.8 X 10^{5 }g

Watch Solution

There are exactly 60 seconds in a minute. there are exactly 60 minutes in an hour, there are exactly 24 hours in a mean solar day, and there are 365.24 solar days in a solar year. Find the number of seconds in a solar year. Be sure to give your answer with the correct number of significant figures.

Watch Solution

Use the prefix multipliers to express each measurement without any exponents.

d. 3.5 X 10^{6} L

Watch Solution

Use the prefix multipliers to express each measurement without any exponents.

c. 1.5 X 10^{9} g

Watch Solution

Use the prefix multipliers to express each measurement without any exponents.

b. 22 X 10 ^{-15} s

Watch Solution

Use the prefix multipliers to express each measurement without any exponents.

a. 1.2 x 10 ^{- 9} m

Watch Solution

A bedroom has a volume of 115m^{3}. What is its volume in:

c. cm^{3}

Watch Solution

A bedroom has a volume of 115m^{3}. What is its volume in:

b. dm^{3}

Watch Solution

A house has an area of 195m ^{2}. What is its area in:

b. dm^{2}

Watch Solution

A house has an area of 195m ^{2}. What is its area in:

a. km^{2}

Watch Solution

A cyclist rides at an average speed of 18 miles per hour. If she wants to bike 212 km, how long (in hours) must she ride?

Watch Solution

Convert:

b. 3.14 kg to g

Watch Solution

Convert 4.39 x 10^{-23} g to ng.

a) 4.39x10^{-10} ng

b) 4.39x10^{-14} ng

c) 4.39x10^{-16} ng

d) 4.39x10^{-20} ng

Watch Solution

How many kL does a 1.25 × 10^{8} cL sample contain?

A) 1.25 × 10^{3} kL

B) 1.25 × 10^{13} kL

C) 1.25 × 10^{4} kL

D) 1.25 × 10^{12} kL

E) 1.25 × 10^{2} kL

Watch Solution

How many mg does a 433 kg sample contain?

A) 4.33 × 10^{-4} mg

B) 4.33 × 10^{7} mg

C) 4.33 × 10^{-3} mg

D) 4.33 × 10^{6} mg

E) 4.33 × 10^{8} mg

Watch Solution

The mass of a sample is 550 milligrams. Which of the following expresses that mass in nanograms?

A. 5.5 x 10 ^{8} ng

B. 5.5 x 10 ^{6 }ng

C. 5.5 x 10 ^{11} ng

D. 5.5 x 10 ^{–6} ng

E. 5.5 x 10 ^{–10} ng

Watch Solution

Express 327 kilometers in units of nanometers.

a. 3.27 x 10 ^{12} nm

b. 3.27 x 10 ^{11} nm

c. 3.27 x 10 ^{–4} nm

d. 3.27 x 10 ^{14} nm

Watch Solution

Which of the following does not equal 80 mL?

a. 8 x 10 ^{-11} GL

b. 0.08 L

c. 8 x 10 ^{-4} kL

d. 8 cL

e. 8 x 10 ^{-7} nL

Watch Solution