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

Concept #1: Understanding Metric Prefixes

Concept #2: Using the Metric Prefix Chart

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

Example #1: Convert the following to the desired units.

16.33 pm to m 172 GL to L

Example #2: Convert the following to the desired units.

0.73 cs to ns 729 kg to mg

Example #3: Convert the following to the desired units.

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

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

The radius of a helium atom 31.4 pm. What is the thickness in Gm?
a. 3.14 x 1022
b. 0.0314
c. 3.14 x 10 -17
d. 3.14 x 10 4
e. 3.14 x 10-20

Convert 100 cm3 to m3.
A) 1 × 10 -4 m 3
B) 1 × 10 8 m 3
C) 1 × 10 4 m 3
D) 1 × 10 0 m 3

Convert 15 m3 to liters.
A) 1.5 L
B) 1.5 × 10 2 L
C) 1.5 × 10 -2 L
D) 1.5 × 10 4 L

Convert:
b. 3.14 kg to g

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

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

A house has an area of 195m 2. What is its area in:
a. km2

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

A house has an area of 195m 2. What is its area in:
b. dm2

A bedroom has a volume of 115m3. What is its volume in:
b. dm3

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

Use the prefix multipliers to express each measurement without any exponents.
a. 1.2 x 10 - 9 m

Use the prefix multipliers to express each measurement without any exponents.
c. 1.5 X 109 g

Use the prefix multipliers to express each measurement without any exponents.
d. 3.5 X 106 L

Which of the following is the smallest mass?
a. 1000 g
b. 1000 ng
c. 1000 mg
d. 1000 kg
e. 1000 ug

Use prefix multipliers to express each measurement without any exponents.
a. 38.8 X 105 g

How many milligrams of sodium sulfate are equivalent to 0.0562 kg?
a. 5.62 x 10-2 mg
b. 5.62 x 104 mg
c. 56.2 mg
d. 5.62 x 1010 mg
e. 5.62 x 107 mg

Use prefix multipliers to express each measurement without any exponents.
b. 55.2 X 10 -10 s

Use prefix multipliers to express each measurement without any exponents.
c. 23.4 X 10 11 m

Use prefix multipliers to express each measurement without any exponents.
d. 87.9 X 10 - 7 L

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.

Use scientific notation to express each quantity with only the base units (no prefix multipliers).
b. 225 Mm

Complete the table:
a. 1245 kg 1.245 X .10 6 g 1.245 X 10 9 mg

Complete the table:
b. 515 km _______dm ________cm

Complete the table:
c. 122.355 s _______ms _______ks

Complete the table:
d. 3.345 kJ _______J _______mJ

Complete the table:
c. 554 mK/s _______K/s _______µK/ms

Express the quantity 254,998 m in each unit.
a. km
b. Mm
c. mm
d. cm

Express the quantity 556.2 X 10 -12 s in each unit.
a. ms
b. ns
c. ps
d. fs

How many mg does a 433 kg sample contain?
A) 4.33 × 10-4 mg
B) 4.33 × 107 mg
C) 4.33 × 10-3 mg
D) 4.33 × 106 mg
E) 4.33 × 108 mg

How many kL does a 1.25 × 108 cL sample contain?
A) 1.25 × 103 kL
B) 1.25 × 1013 kL
C) 1.25 × 104 kL
D) 1.25 × 1012 kL
E) 1.25 × 102 kL

You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.
Complete the following conversions.3.056
mg/mL = _______ g/L

You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.
Complete the following conversions.251
km/s = ________ m/ms

You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.
Complete the following conversions.1305
g/L = ________ kg/mL

What are prefix multipliers?

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the
six fundamental units.Mass

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the
six fundamental units.Length

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the
six fundamental units.Temperature

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the
six fundamental units.Volume

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the
six fundamental units.Energy

What SI units are used for measuring the following quantities? For derived units, express your answers in terms of the
six fundamental units.Density

What SI prefixes correspond to the following multipliers?
You may want to reference (Pages 18 - 19)Section 1.10 while completing this problem.103

What SI prefixes correspond to the following multipliers?
You may want to reference (Pages 18 - 19)Section 1.10 while completing this problem.10 - 6

What SI prefixes correspond to the following multipliers?
You may want to reference (Pages 18 - 19)Section 1.10 while completing this problem.109

What do the following abbreviations stand for?nL

What do the following abbreviations stand for?m

What do the following abbreviations stand for?mm

What do the following abbreviations stand for?cL

What do the following abbreviations stand for?dJ

What is the standard SI base unit of length?

What is the standard SI base unit of mass?

What is the standard SI base unit of time?

What is the standard SI base unit of temperature?

Give the derived SI units for each of the following quantities
in base SI units:acceleration = distance/time2

Give the derived SI units for each of the following quantities
in base SI units:force = mass × acceleration

Give the derived SI units for each of the following quantities
in base SI units:work = force × distance

Give the derived SI units for each of the following quantities
in base SI units:pressure = force/area

Give the derived SI units for each of the following quantities
in base SI units:power = work/time

Give the derived SI units for each of the following quantities
in base SI units:velocity = distance/time

Give the derived SI units for each of the following quantities
in base SI units:energy = mass × (velocity)2

What is the difference between mass and weight?

What is the difference between a derived SI unit and a fundamental SI unit?

What is the difference between a cubic centimeter (SI) and a milliliter (metric)?

Bottles of wine sometimes carry the notation "Volume = 75
cL." What does the unit cL mean?

The package of a fluorescent bulb for a table lamp lists the light output in terms of lumens, lm. Which of the seven SI units would you expect to be part of the definition of a lumen?

Use appropriate metric prefixes to write the following measurements without use of exponents.
You may want to reference (Pages 17 - 23) Section 1.5 while completing this problem.2.3 10-10

Use appropriate metric prefixes to write the following measurements without use of exponents.
You may want to reference (Pages 17 - 23) Section 1.5 while completing this problem.1.85 10-12

Use appropriate metric prefixes to write the following measurements without use of exponents.
You may want to reference (Pages 17 - 23) Section 1.5 while completing this problem.1.34 10-3

Use appropriate metric prefixes to write the following measurements without use of exponents.
You may want to reference (Pages 17 - 23) Section 1.5 while completing this problem.4.7 10-6

Use appropriate metric prefixes to write the following measurements without use of exponents.
You may want to reference (Pages 17 - 23) Section 1.5 while completing this problem.16.7 106

Use appropriate metric prefixes to write the following measurements without use of exponents.
You may want to reference (Pages 17 - 23) Section 1.5 while completing this problem.15.7 103

In the year 2012, an estimated amount of 31.6 billion metric
tons (1 metric ton = 1000 kg) of carbon dioxide (CO2) was
emitted worldwide due to fossil fuel combustion and cement
production. Express this mass of CO2 in grams without exponential notation, using an appropriate metric prefix.

Use the prefix multipliers to express each of the following measurements without exponents.1.2 10-3

Use the prefix multipliers to express each of the following measurements without exponents.22 10-3

Use the prefix multipliers to express each of the following measurements without exponents.1.5 103

Use the prefix multipliers to express each of the following measurements without exponents.3.5 103

Use prefix multipliers to express each measurement without exponents.34.6
105
g

Use prefix multipliers to express each measurement without exponents.17.3
10-10
s

Use prefix multipliers to express each measurement without exponents.27.7
1011
m

Use prefix multipliers to express each measurement without exponents.80.880.810-7
L
m L

You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.
Complete the following conversions.1305
g/L = _______ g/mL

You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.
Complete the following conversions.626
mK/s = _______ K/s

What SI prefixes correspond to the following multipliers?
You may want to reference (Pages 18 - 19)Section 1.10 while completing this problem.10-12

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.5.6 ns

What SI prefixes correspond to the following multipliers?
You may want to reference (Pages 18 - 19)Section 1.10 while completing this problem.10-2

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.16 fs

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.147 pm

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.36 m

How many microliters are in 3 L ?

What prefix multiplier is appropriate for reporting a measurement of 5.57
10-5
m?

The average thickness of a human hair is about 100 microns (m).Convert the measurement to an SI unit.

The average thickness of a human hair is about 100 microns (m).Write it with an appropriate prefix on a base unit.

The average thickness of a human hair is about 100 microns (m).The distance between the Earth and the Sun is 149,600,000 km.
Convert the measurement to an SI unit.

The average thickness of a human hair is about 100 microns (m).Write it with an appropriate prefix on a base unit.

Complete the following table:
(a)
1245 kg
1.245 106
1.245 109
(b)
515 km
_______ dm
________ cm
(c)
122.355 s
_______ ms
________ ks
(d)
3.345 kJ
_______ J
________ mJ
Complete the third row

Complete the following table:
(a)
1245 kg
1.245 106
1.245 109
(b)
515 km
_______ dm
________ cm
(c)
122.355 s
_______ ms
________ ks
(d)
3.345 kJ
_______ J
________ mJ
Complete the third row

Complete the following table:
(a)
1245 kg
1.245 106
1.245 109
(b)
515 km
_______ dm
________ cm
(c)
122.355 s
_______ ms
________ ks
(d)
3.345 kJ
_______ J
________ mJ
Complete the fourth row

Complete the following table:
(a)
1245 kg
1.245 106
1.245 109
(b)
515 km
_______ dm
________ cm
(c)
122.355 s
_______ ms
________ ks
(d)
3.345 kJ
_______ J
________ mJ
Complete the fourth row

Express the quantity 255002 m in each of the following.km

Express the quantity 255002 m in each of the following.Mm

Express the quantity 255002 m in each of the following.mm

Express the quantity 255002 m in each of the following.cm

Express the quantity 5.500×10−10 s in each unit.ms

Express the quantity 5.500×10−10 s in each unit.ns

Express the quantity 5.500×10−10 s in each unit.ps

Express the quantity 5.500×10−10 s in each unit.fs

Perform each of the following conversions.3.16 kg to g

Use scientific notation to express each quantity with only base units (no prefix multipliers).46
L

Use scientific notation to express each quantity with only base units (no prefix multipliers).351
Mm

Use scientific notation to express each quantity with only base units (no prefix multipliers).151
Tg

Use scientific notation to express each quantity with only base units (no prefix multipliers).5.1
cg

Which quantity in each of the following pairs is smaller?2.6 GA or 3.7 1015 A

You may want to reference (Pages 14 - 20) Section 1.6 while completing this problem.
Complete the following conversions.251
km/s = _______ cm/s

You may want to reference (Pages 27 - 33) Section 1.8 while completing this problem.
Perform each unit conversion. 1211
Tm to Gm

How many picograms are in 1 mg?

In 30 mL ?

Carry out the following conversions.You may want to reference (Pages 18 - 19) Section 1.10 while completing this problem.62.8 mg = ____ pg

Complete the following table:
(a)
1245 kg
1.245 106
1.245 109
(b)
515 km
_______ dm
________ cm
(c)
122.355 s
_______ ms
________ ks
(d)
3.345 kJ
_______ J
________ mJ
Complete the second row

Complete the following table:
(a)
1245 kg
1.245 106
1.245 109
(b)
515 km
_______ dm
________ cm
(c)
122.355 s
_______ ms
________ ks
(d)
3.345 kJ
_______ J
________ mJ
Complete the second row

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convertmm to nm

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convertmg to kg

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to make the following conversions.
You may want to reference (Pages 29 - 33) Section 1.7 while completing this problem.ms to ns

Perform each unit conversion.1898
mg to kg

Perform each unit conversion.198
km to cm

How many g are there in 6
mg.

Which quantity in each of the following pairs is smaller?155 pm or 7.8 10-9 cm

Which quantity in each of the following pairs is smaller?1.52 1011 or 2.53 102 km

Answer the following questions.There are exactly 640 acres in 1 square mile. How many square meters are in 1 acre?

A bedroom has a volume of 116 m3 .
You may want to reference (Pages 27 - 33) Section 1.8 while completing this problem.What is its volume in cubic kilometers (km3)?

A bedroom has a volume of 116 m3 .
You may want to reference (Pages 27 - 33) Section 1.8 while completing this problem.What is its volume in decimeters cubed (dm3)?

A bedroom has a volume of 116 m3 .
You may want to reference (Pages 27 - 33) Section 1.8 while completing this problem.What is its volume in centimeters cubed (cm3)?

Carry out the following conversions.How large in square meters is the land area of Australia (2941526 mi2)?

A modest-sized house has an area of 205 m2 .What is its area in km2?

A modest-sized house has an area of 205 m2 .What is its area in dm2?

A modest-sized house has an area of 205 m2 .What is its area in cm2?

You may want to reference (Page 27) Section 1.8 while completing this problem.Convert 1285
cm2 to m2.

In the year 2011, an estimated amount of 35 billion tons of carbon dioxide (CO2) was emitted worldwide due to fossil fuel combustion and cement production. Express this mass of CO2 in grams without exponential notation, using an appropriate metric prefix.

What is the SI base unit of length?a) mib) mec) cmd) kme) m

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert(a) mm to nm

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (b) mg to kg

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (a) μm to mm

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (b) ms to ns

One-thousandth of a micrometer is a?
a. picometer
b. meter
c. millimeter
d. nanometer
e. kilometer

The dimensions of an ameoba are approximately 87 um. Express this length in Mm. a. 8.7 x 10-11 Mmb. 8.7 x 1019 Mmc. 8.7 x 107 Mmd. 8.7 x 10-5 Mme. 8.7 x 10-14 Mm

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 = 106 seconds
e. all the above are correct

Identify each of the following as measurements of length, area, volume, mass, density, time, or temperature: (a) 25 ps. [Section 1.4]

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

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

a. How many kilograms are in one teragram?

b. How many nanometers are in 6.50 x 10 2 terameters?

c. How many kilograms are in 25 femtograms?

How many 150-mg aspirin tablets can be made from 15.0 kg of aspirin? a. 100,000 b. 1,000,000c. 10000d. 10,000 e. 10,000,000

A bedroom has a volume of 115m3. What is its volume in: cm3

d. How many liters are in 8.0 cubic decimeters?

e. How many microliters are in one milliliter?

f. How many picograms are in one microgram?

The density of a substance if 3.400 g/mL. In SI units, the density is:A. 3400 kg/m 3B. 0.3400 kg/m 3C. 3.4 kg/cm 3D. 3.4 kg/m 3E. 3.4 kg/L3

Use the prefix multipliers to express each measurement without any exponents. 22 X 10 -15 s

Which of the following is the largest mass?a. 1000 gb. 1000 ngc. 1000 mgd. 1000 kge. 1000 ug

Use scientific notation to express each quantity with only the base units (no prefix multipliers). 133 Tg

Complete the table:a. 355 km/s _______cm/s _______m/ms

Complete the table:228 g/L = _______g/mL = ______kg/ML

Complete the table:2 .554 mg/mL = ________g/L = _______µg/mL

Use appropriate metric prefixes to write the following measurements without use of exponents: (a) 6.35 x 10- 2 L.

Use appropriate metric prefixes to write the following measurements without use of exponents: (b) 6.5 x 10-6 s.

Use appropriate metric prefixes to write the following measurements without use of exponents: (c) 9.5 x 10-4 m.

Use appropriate metric prefixes to write the following measurements without use of exponents: (d) 4.23 x 10-9 m3.

Use appropriate metric prefixes to write the following measurements without use of exponents: (e) 12.5 x 10-8 kg.

Use appropriate metric prefixes to write the following measurements without use of exponents: (f) 3.5 x 10-10 g.

Use apprapriate metrie prefixes to write the following measurements without use of exponents: (g) 6.54 x 109 fs.

Use appropriate metric prefixes to write the following measurements without use of exponents: (a) 2.3 x 10-10 L.

Use appropriate metric prefixes to write the following measurements without use of exponents: ( b ) 4.7 x 10-6 g.

Use appropriate metric prefixes to write the following measurements without use of exponents: ( c ) 1.85 x 10-12 m.

Use appropriate metric prefixes to write the following measurements without use of exponents: ( d ) 16.7 x 106 s.

Convert 2.45 x 10-3 km to cm

Use appropriate metric prefixes to write the following measurements without use of exponents: (e) 15.7 x 103 g.

Use appropriate metric prefixes to write the following measurements without use of exponents: (f) 1.34 x 10-3 m.

Use appropriate metric prefixes to write the following measurements without use of exponents: (g) 1.84 x 102 cm.

All of the following are SI base units of measurement, EXCEPTA) meterB) gramC) secondD) kelvinE) mole

How many cm3 are contained in 3.77 × 104 mm3?A) 3.77 × 104 cm3B) 3.77 × 101 cm3C) 3.77 × 10-10 cm3D) 3.77 × 1020 cm3E) 3.77 × 106 cm3

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(b) d

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(c) G

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(d) k

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(e) m

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(f) n

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(g) p

Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.(h) T

The SI unit of energy is thea. ampereb. joulec. kgd. Celsius

The SI unit of length is thea. footb. kilometerc. pascald. meter

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.(c) 0.1

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.(d) 10−3

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.(e) 1,000,000

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.(f) 0.000001

The recommended single dose for acetaminophen is 10.0 to 15.0 mg per kilogram of body weight for adults. Using this guideline, calculate the maximum dosage, for a single dose, for a person who weighs 147 pounds (Ib).

How many mg does a 433 kg sample contain? (a) 4.33 x 10-4 mg (b) 0 4.33 x 107 mg (c) 4.33 x 10-3 mg (d) 0 4.33 x 106 mg (e) 4.33 x 108 mg

The average distance from Earth to the Sun is 150 megameters. What is that distance in meters? 1) 1.5' 108 m 2) 1.5' 103 m 3) 1.5' 106 m 4) 1.5' 10-6 m 5) 1.5' 105 m

A newborn is 18 in. in length and weighs 8 lb 13 oz. Describe the baby in metric units. Be sure to answer all parts.Enter your answer in scientific notation.

A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation.

Question 6How many cm3 are contained in 3.77 x 104 mm3? (i) 3.77 x 1020 cm3 (ii) 3.77 x 104 m3 (iii) 3.77 x 106 m3 (iv) 3.77 x 101 cm3 (v) 3.77 x 10-10 cm3 Question 7How many liters of air are in a room that measures 10.0 ft x 11.0 ft and has an 8.00 ft ceiling? 1 in = 2.54 cm (exactly), 1 L = 103 cm3. (i) 2.68 x 107 (ii) 26.8 (iii) 8.84 x 105 (iv) 2.49 x 104 (v) 92.8

Convert the following measurement

By what power of ten is a cubic kilometer greater than a cubic meter? A. 3 B. 9 C. 4 D. 8 E. 6

Convert 8.61 x 10-3 m to the equivalent length in nanometers.

Calculate the volume of liquid in the round flask sketched below. Give your answer in milliliters, and round to the nearest 0.1 mL.

Carry out the following conversions from one metric unit of mass to another.

The radius of a lead atom is 175 pm. How many lead atoms would have to be laid side by side to span a distance of 2.37 mm?

A dose of medication was prescribed to be 35 microliters. Which of the following expresses that volume in centiliters? 1) 3.5' 105 cL 2) 3.5' 10-4 cL 3) 3.5' 104 cL 4) 3.5' 10-3 cL 5) 3.5 cL

Which is the correct proportionality factor relating pg (picogram) and g? (a) 109 pg/1 g(b) 1 pg/1012 g (c) 1015 pg = 1 mg (d) 1012 pg/1 g

Which metric prefix stands for 10-9?a. centi-b. milli-c. pico-d. micro-e. nano-

For light with a wavelength of 3.60 μm, calculate the corresponding wavenumber value.

Calculate the volume of liquid in the test tube sketched below. Give your answer in milliliters, and round to the nearest 0.1 mL.

Which of the following is an SI unit? (a) Liter (b) Calorie (c) Gram (d) Meter