**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

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

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

a. Calculate the mass of ethanol in 1.50 qt of ethanol. (See Table 1.5.)

b. Calculate the mass of mercury in 3.5 in3 of mercury. (See Table 1.5.)

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.

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

If an object has a density of 8.65 g/cm3 what is its density in units of kg/m3?

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

Convert:a. 154 cm to in

Convert:c. 3.5 L to qt

Convert:d. 109 mm to in

Convert:a. 1.4 in to mm

Convert:b. 116 ft to cm

Convert:c. 1845 kg to lb

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:d. 815 yd to km

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 European automobile has a gas mileage of 17 km/L. What is the gas mileage in miles per gallon?

A gas can holds 5.0 gallons of gasoline. What is this quantity in cm 3?

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?

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

Total U.S. farmland occupies 954 million acres. How many square miles is this? (1 acre= 43,560ft2, 1 mile= 5280ft). Total U.S. land area is 3.537 million square miles. What percentage of U.S. land is farmland?

Perform the following unit conversions.e. 4.48 lb to grams

Perform the following unit conversions.f. 550 mL to quarts

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.

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

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 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.

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.