STUDY GUIDE EXAM I – APPLIED MATH FOR CHEMISTRY
Thursday September 18th
The following concepts from your Course Outcome Guide will be primarily covered on
this exam:
Decimals and Place Value
Exponents and Scientific Notation
Units of measurement, both English and Metric
Dimensional Analysis, Conversion factor fractions
The following skills from the Course Outcome Guide should be reviewed and
practiced.
Skills:
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Apply fundamental rules of mathematical operations
Examples: addition may be performed in any order and give the same sum,
multiplication maybe performed in any order and give the same product, any
a
number (except 0) divided by itself gives a quotient of 1 ( =1), or the product of
a
a number and its reciprocal is 1.
Perform basic operations with signed numbers; add and subtract signed numbers
–32 – (- 8) = -24
Recognize the value of a fraction ( = to 1, greater than 1, or less than 1) and its
effect on multiplication
Multiply fractions; simplify by dividing both the numerator and the denominator
by the same quantity or units (canceling)
Convert between fractions and decimals. Divide numerator by denominator.
1
Example: = .20
5
Identify place value of decimal numbers. EXAMPLE: In the number 35.62937 ,
what value does the digit 9 represent?
Write decimal numbers. Example: Write in words: 35.629
Round decimal numbers to a specified place value. Example: 3009.357 rounded
to the nearest 10 is 3010, rounded to the nearest tenth is 3009.4
Multiply and divide numbers by a power of ten without a calculator by moving
decimal point
Perform basic manipulations involving exponents- Handout: Rules of Exponents
Identify base and exponent 53
5= base, 3 = exponent
3
5 = 5x5x5=125, multiplying numbers with like bases add the exponents, dividing
numbers with like bases, subtract the exponents, Zero as an exponent 30  1
This workforce solution was funded by a grant awarded under the President’s Community-Based Job Training Grants as implemented
by the U.S. Department of Labor’s Employment and Training Administration. The solution was created by the grantee and does not
necessarily reflect the official position of the U.S. Department of Labor. The Department of Labor makes no guarantees, warranties,
or assurances of any kind, express or implied, with respect to such information, including any information on linked sites and
including, but not limited to, accuracy of the information or its completeness, timeliness, usefulness, adequacy, continued availability,
or ownership. This solution is copyrighted by the institution that created it. Internal use by an organization and/or personal use by
an individual for non-commercial purposes is permissible. All other uses require the prior authorization of the copyright owner.
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Understand the relationship between positive exponents (numbers greater than or
equal to 1, and numbers with negative exponents (numbers that are less than 1)
Write numbers in proper scientific notation (coefficient must be between 1 and
10) Example: 35600 = 3.56 x 104
Convert between standard and scientific notation
Use calculators for exponents and scientific notation
Correctly interpret the display on a scientific calculator when the result is
expressed in scientific notation.
Use mental math to estimate answers. Example: 49 x 95  50 x 100 = 500
Identify the base units in the metric system: mass(gram), volume(liter),
length(meter)
Know the meaning of metric prefixes (nano, micro, milli, centi, deci, deka, kilo,
mega, giga)
Identify a metric prefix with its power of ten equivalent. Example: milli=10-3
(Metric Prefix Table handout)
Construct conversion factor fractions from an equality statement.
Example: 1 meter = 1000 mm
1meter
1000mm
or
1000mm
1meter
Use a conversion table to obtain conversion factor fractions
Utilize dimensional analysis as a tool for converting units (convert from mg to kg)
Checklist for Dimensional Analysis handout
Convert between metric units
Convert between English units (conversion table provided)
Convert between metric and English units (conversion table provided)
Calculate answers using appropriate significant digits
Use density as a conversion factor to calculate mass or volume
Convert multidimensional unit, unit changes in both numerator and denominator
250miles
km
(
=?
)
hr
sec
Know and understand the relationship: 1 cm3 = 1 cc = 1 mL
Calculate area and volume of a rectangle and convert units between metric and
English system. Example: length= 3.6 in, width =1.7in, and height=1in, volume
=3.6(1.7)(1) in3 = ? cm
Convert between temperature scales if given the formula
UTILIZE YOUR QUIZZES, HOMEWORK, AND HANDOUTS AS STUDY TOOLS.
Our Blackboard site also has some excellent tutorials from the SWTC Math Science
Resource Center web site. Do not hesitate to contact me for questions and clarification.
This workforce solution was funded by a grant awarded under the President’s Community-Based Job Training Grants as implemented
by the U.S. Department of Labor’s Employment and Training Administration. The solution was created by the grantee and does not
necessarily reflect the official position of the U.S. Department of Labor. The Department of Labor makes no guarantees, warranties,
or assurances of any kind, express or implied, with respect to such information, including any information on linked sites and
including, but not limited to, accuracy of the information or its completeness, timeliness, usefulness, adequacy, continued availability,
or ownership. This solution is copyrighted by the institution that created it. Internal use by an organization and/or personal use by
an individual for non-commercial purposes is permissible. All other uses require the prior authorization of the copyright owner.