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Scientific Notation | 6 mins | 0 completed | Learn |

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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

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

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

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

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

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

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

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

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

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

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

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

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

Convert 1285 cm2 to m2.

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

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

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

What exponential notation do the following abbreviations represent?p

A metric unit for length is

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

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

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

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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