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Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
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Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
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Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Scientific notation is used to turn small or large inconvenient numbers into manageable ones. 

Concept #1: Understanding Scientific Notation

Transcript

Now, majority of you may remember scientific notation in algebra or from of course you recently take it. Now, scientific notation is a way of changing very large or very small numbers into more manageable ones, scientific notation is really a simple type of idea, but it's going to form the basis of all our chemical calculations from this point on. Now, in order to understand scientific notation you just have to remember the three components that make it up. So, let's take a look at this number, we have 6.88 times 10 to the negative 12, we're going to say the first number 6.88 is called the coefficient and the thing about the coefficient is, the coefficient must be greater than or equal to 1 but less than 10. So, that's the range that we're dealing with, we're going to say that the second number, which is the 10, is known as the base and when it comes to scientific notation the base is always 10, that's not ever going to change, finally we're going to say in 6.88 times 10 to the negative 12, the negative 12 number is known as our exponent. So, those are the three portions that make up any scientific notation number that you're given. So, just remember the guidelines for some of them and you'll be fine.

A scientific notation value is comprised of 3 parts: the coefficient, base and exponent

Example #1: Convert the following numbers into scientific notation. 

Write the following number in scientific notation and round off to five significant figures: 0.00392708 x 10 81 . a) 3.9271 x 10 84 b) 3.9270 x 10 78 c) 0.39271 x 10 78 d) 3.9270 x 10 80 e) 3.9271 x 10 78
Use scientific notation to express each quantity with only the base units (no prefix multipliers).  b. 18 fs 
Use scientific notation to express each quantity with only the base units (no prefix multipliers).  c. 128 pm
Use scientific notation to express each quantity with only the base units (no prefix multipliers). d. 35 µm
The Vehicle Assembly Building at the John F. Kennedy Space Center in Cape Canaveral, Florida, is the largest building in the world, with a volume of 3,666,500 m3.Express this volume in scientific notation.
The average thickness of a human hair is about 100 microns (m).Write it in scientific notation.
Express the diameter of an insulin molecule, 0.000 000 005 m, in scientific notation.
The circumference of Earth through the poles is 40,008 km. Round this number to four significant figures, and express it in standard exponential notation.
Use scientific notation to express each quantity with only the base units (no prefix multipliers).  a. 4.5 ns
Convert the following measurements from scientific notation to standard notation: 3.221 x 10-3 mm
Convert the following measurements from scientific notation to standard notation: 8.940 x 105 m
Convert the following measurements from scientific notation to standard notation: 1.35082 x 10-12 m3
Convert the following measurements from scientific notation to standard notation: 6.4100 x 102 km
Write the following number in scientific notation: 0.00047
Write the following number in scientific notation: 210,006
Write the following number in scientific notation: 2160.5
Write the following number in scientific notation: 0.0380
Write the following number in scientific notation: 4270.8
Write the following number in scientific notation: 58,200.9
Write the following number in standard notation. Use a terminal decimal point when needed.1.0070 x 104
Write the following number in standard notation. Use a terminal decimal point when needed.8.85 x 10−7
Write the following number in standard notation. Use a terminal decimal point when needed.3.004 x 10−3
Write the following number in standard notation. Use a terminal decimal point when needed.3.46 x 10−5
Write the following number in standard notation. Use a terminal decimal point when needed.7.5 x 102
Write the following number in standard notation. Use a terminal decimal point when needed.1.8856 x 102
Convert the following into correct scientific notation: 802.5 x 10 2
Convert the following into correct scientific notation: 1009.8 x 10 −6
Convert the following into correct scientific notation: 0.077 x 10 −9
Convert the following into correct scientific notation: 14.3 x 10 1
Convert the following into correct scientific notation: 851 x 10 −2
Convert the following into correct scientific notation: 7500 x 10 −3
Express the following quantities in scientific notation using fundamental SI units of mass and length given in the table below.The Seven Fundamental SI Units of MeasurePhysical QuantityName of UnitAbbreviationMasskilogramkgLengthmetermTemperaturekelvinKAmount of substancemolemolTimesecondsElectric currentampereALuminous intensitycandelacdThe diameter of a human hair, 70 µm.
Write the following number in scientific notation: 131,000.0
Write the following number in scientific notation: 282.0
Write the following number in standard notation. Use a terminal decimal point when needed.5.55 x 103
Write the following number in standard notation. Use a terminal decimal point when needed.6.500 x 103
Express each of the following numbers in exponential notation with correct significant figures:(a) 704 
Express each of the following numbers in scientific notation with correct significant figures:(b) 0.239
Express each of the following numbers in scientific notation with correct significant figures:(c) 90743
Express each of the following numbers in scientific notation with correct significant figures:(d) 134.2
Express each of the following numbers in scientific notation with correct significant figures:(e) 0.05499
Express each of the following numbers in scientific notation with correct significant figures:(f) 10000.0
Express each of the following numbers in scientific notation with correct significant figures:(g) 0.000000738592
Express each of the following numbers in exponential notation with correct significant figures:(b) 0.03344
Express each of the following numbers in exponential notation with correct significant figures:(c) 547.9
Express each of the following numbers in exponential notation with correct significant figures:(d) 22086
Express each of the following numbers in exponential notation with correct significant figures:(e) 1000.00
Express each of the following numbers in exponential notation with correct significant figures:(f) 0.0000000651
Express each of the following numbers in exponential notation with correct significant figures:(g) 0.007157
Express the following number in scientific notation 0.000275  _____________________How many significant figures in your answer  _______________
How do you write 0.005 in scientific notation?
Write the following number in scientific notation and round off to three significant figures: 31152 x 10-15 .
Express the circumference of the Earth at the Equator, 40,075,017 m, in scientific notation.
What is the following number to four significant figures in standard exponential notation: 656,980
Express the following quantities in scientific notation using fundamental SI units of mass and length given in the table below.The Seven Fundamental SI Units of MeasurePhysical QuantityName of UnitAbbreviationMasskilogramkgLengthmetermTemperaturekelvinKAmount of substancemolemolTimesecondsElectric currentampereALuminous intensitycandelacdThe mass of carbon dioxide emitted from a large power plant each year, 20 Tg.
Express each of the following numbers in scientific notation with correct significant figures:(a) 711.0