Ch.1 - Intro to General ChemistrySee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
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
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
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

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

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

Additional Problems
Write the following number in scientific notation and round off to three significant figures: 31152 x 10-15 .
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.
The average thickness of a human hair is about 100 microns (m).Write it without scientific notation.
Express the diameter of an insulin molecule, 0.000 000 005 m, in scientific notation.
Express the circumference of the Earth at the Equator, 40,075,017 m, in scientific notation.
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 Measure Physical Quantity Name of Unit Abbreviation Mass kilogram kg Length meter m Temperature kelvin K Amount of substance mole mol Time second s Electric current ampere A Luminous intensity candela cd The mass of carbon dioxide emitted from a large power plant each year, 20 Tg.
Express the following number in scientific notation 0.000275  _____________________ How many significant figures in your answer  _______________
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 scientific notation with correct significant figures:(a) 711.0
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