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Scientific Notation | 6 mins | 0 completed | Learn |

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Significant Figures | 18 mins | 0 completed | Learn Summary |

Energy, Heat and Temperature | 7 mins | 0 completed | Learn Summary |

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

Concept #1: Understanding Metric Prefixes

**Transcript**

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 #2: Using the Metric Prefix Chart

**Transcript**

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 #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

0 of 5 completed

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

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

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

What is the difference between a cubic decimeter (SI) and a liter (metric)?

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 ngB) 1.67 × 10 -18 ngC) 1.67 × 10 -15 ngD) 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?

f. How many picograms are in one microgram?

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.

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

Indicate the SI base units or derived units that are appropriate for the following measurements:(g) the maximum temperature at the South Pole on April 1, 1913

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

Complete the following conversions between SI units.(h) 1738 km = ________ m

Perform each of the following conversions.b. 2.41 x 102 cm to meters

Use scientific (exponential) notation to express the following quantities in terms of the SI base units in Table 1.3:(c) 5.23 pm

Construct the following SI derived unit, the coulomb, and define the faraday. A coulomb is a measure of _________ and has units of: 1 _____, _____ .A faraday is a constant and has a value of: (include units). C sA 96,485 CV mole of electrons

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

What is the standard SI base unit of length?

What exponential notation do the following abbreviations represent?k

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

Identify the power of ten that defines each of these prefixesnano-kilo-centi-micro-milli-mega-

25 mm is equal to how many cm?

Perform each unit conversion.198 km to cm

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.

How many nanograms (ng) are in one picogram (pg)?A. 0.001B. 1000C. 0.01D. 100E. 10

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 scientific notation to express each of the following quantities with only the base units (no prefix multipliers).36 m

An atom of rhodium (Rh) has a diameter of about 2.7 x 10–8 cm. What is the radius of a rhodium atom in angstroms (Å)?

What are prefix multipliers? Check all that apply.a) duxb) milli c) genu d) femto e) tetra f) kilo

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

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

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

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

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

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

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.80.8 10-7 L m L

Complete the following conversions.1305 g/L = _______ g/mL

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).5.6 ns

What exponential notation do the following abbreviations represent?c

What exponential notation do the following abbreviations represent?M

What exponential notation do the following abbreviations represent?n

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

Complete the following table:(a) 1245 kg1.245 1061.245 109(b) 515 km_______ dm________ cm(c) 122.355 s_______ ms________ ks(d) 3.345 kJ_______ J________ mJComplete the third row

Complete the following table:(a) 1245 kg1.245 1061.245 109(b) 515 km_______ dm________ cm(c) 122.355 s_______ ms________ ks(d) 3.345 kJ_______ J________ mJComplete 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

If an aspirin tablet contains 325 mg aspirin, how many grams of aspirin does it contain?

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

Complete the following conversions.251 km/s = _______ cm/s

Perform each unit conversion.28.9 nm to µmmu {
m m}

Perform each unit conversion.1211 Tm to Gm

Complete the following table:(a) 1245 kg1.245 x 106 g1.245 x 109 mg(b) 515 km_______ dm________ cm(c) 122.355 s_______ ms________ ks(d) 3.345 kJ_______ J________ mJComplete the second row

The average radius of a molecule of lysozyme, an enzyme in tears, is 1430 pm. What is its radius in nanometers (nm)?

A bedroom has a volume of 116 m3 .What is its volume in cubic kilometers (km3)?

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

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

Perform each of the following conversions.3.16 kg to g

A bedroom has a volume of 116 m3 .What is its volume in decimeters cubed (dm3)?

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?

Convert 1285 cm2 to m2.

A bedroom has a volume of 116 m3 .What is its volume in centimeters cubed (cm3)?

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).16 fs

Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers).147 pm

Complete the following conversions.3.056 mg/mL = _______ g/L

Complete the following conversions.251 km/s = ________ m/ms

Complete the following conversions.1305 g/L = ________ kg/mL

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

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?

What is the SI unit of energy?

Perform each unit conversion.1898 mg to kg

How many milligrams of sodium sulfate are equivalent to 0.0562 kg?a. 5.62 x 10-2 mgb. 5.62 x 104 mgc. 56.2 mgd. 5.62 x 1010 mge. 5.62 x 107 mg

Convert 2.45 x 10-3 km to cm

What type of quantity (for example, length, volume, density) do the following units indicate.mL

e. How many microliters are in one milliliter?

How many picograms are in 1 mg?

What exponential notation do the following abbreviations represent?d

What exponential notation do the following abbreviations represent?m

What exponential notation do the following abbreviations represent?P

The average thickness of a human hair is about 100 microns (m).Write it without using scientific notation.

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.

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

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

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

Perform the following conversions.0.03500 ft3 to cm3.

Carry out the following conversions.1.935
m3 to yd3

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

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

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

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

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:velocity = distance/time

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

What type of quantity (for example, length, volume, density) do the following units indicate.cm2

Complete the following table:(a) 1245 kg1.245 1061.245 109(b) 515 km_______ dm________ cm(c) 122.355 s_______ ms________ ks(d) 3.345 kJ_______ J________ mJComplete the fourth 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

What type of quantity (for example, length, volume, density) do the following units indicate.mm3

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:energy = mass × (velocity)2

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

What exponential notation do the following abbreviations represent?p

What type of quantity (for example, length, volume, density) do the following units indicate.K

What type of quantity (for example, length, volume, density) do the following units indicate.mg/L

Which of the following weights would you expect to be suitable for weighing on an ordinary bathroom scale?a. 5.5 × 108 dgb. 2.0 × 107 mgc. 5 × 10 4 kgd. 4 × 106 cge. 2500 μg

What type of quantity (for example, length, volume, density) do the following units indicate.ps

What exponential notation do the following abbreviations represent?f

A metric unit for length is

The Vehicle Assembly Building at the Kennedy Space Center in Florida has a volume of 3,666,500 m3. Convert this volume to liters and express the result in standard exponential notation.

How many g are there in 6 mg.

What type of quantity (for example, length, volume, density) do the following units indicate.nm

Which of the following quantities represents a volume measurement?15 m2; 2.5 x 102 m3;5.77 L/s?

8.2 kilogram(s) contains this many grams.

All of the following are SI base units of measurement, EXCEPT:A. meterB. gramC. secondD. kelvinE. mole

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

You may want to reference (Pages 29 - 33) Section 1.7 while completing this problem.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.mu {
m mcm 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 make the following conversions.ms to ns

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

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

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

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

Use appropriate metric prefixes to write the following measurements without use of exponents.1.84 x 102 m

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?

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

What exponential notation do the following abbreviations represent?μmu

The mass of a proton is 1.67 × 10-27 kg. What is the mass of a proton in milligrams?A) 1.67 × 10-27 mg B) 1.67 × 10-18 mg C) 1.67 × 10-21 mg D) 1.67 × 10-24 mg

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