MAT 150 Exam 2 Review
Chapter 3 & Chapter 4
Add, Subtract & Multiply in Other Bases
Section 3.1: Strategies and Procedures for Mental
Computation
The term “Mental Math” does not imply that you don’t
need to show any work because you are doing it “in your
head”. It simply means that you will get your result
without using the standard algorithm.
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Compatible Numbers
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Break-Apart Numbers
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Properties
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Compensation/Equal Additions
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3.2 Strategies and Procedures for Estimation
Rounding
Front-End Estimation
Front-End Estimation with Adjustment
Clustering
Section 3.3 Algorithms for Addition and Subtraction
Be able to perform addition and subtraction using:
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Base-Ten Blocks
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Expanded Algorithm
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Standard Algorithm
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Other Bases
Section 3.4 Algorithms for Multiplication and Division
Be able to perform multiplication and division using:
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Base-Ten Blocks
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Expanded Algorithm
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Standard Algorithm
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Other Bases (Multiplication only)
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Lattice Method (Multiplication only)
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4.2 Prime and Composite Numbers
Prime Numbers
Composite Numbers
Prime Factorization
Factor Trees for Prime Factorization
Division Method for Prime Factorization
Use the Prime Factorization to determine the
number of factors of a number
Relatively Prime
Twin Primes
Greatest Common Factor (GCF)
Least Common Multiple (LCM)
Find GCF and LCM using
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Prime Factorization Method
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Intersection of Sets Method
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Euclidean Algorithm (GCF only)
Chapter 4 Summary (page 227)
Chapter 4 Review (page 228): 1-14, 16, 17, 19
Review the following items:
o All Assigned Homework
o All Class Notes
o Activity: Add, Sub, Mult in Other Bases
o Activity: A Square Experiment
o Activity: How Many Factors?
o Problem Solving #2
Chapter 3 Summary (page 182-183)
Chapter 3 Review (page 184-185): 5-12, 17-24, 29-38
Other Preparation Ideas:
o Re-read the sections in the book.
o Read the Review and Summary at the
end of the chapters.
Section
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For the exam:
o Use a PENCIL—not a pen.
o Show all appropriate work.
o Write clear and concise explanations.
o Bring Problem Solving #2 to turn in—
no late assignments are accepted.
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4.1 Factors and Divisibility
Factors
Multiples
Definition of “Divides”
Notation: a|b
Divisibility Tests for 2, 3, 4, 5, 6, 8, 9, 10
Create your own divisibility test using the
Theorem: Divisibility by Products (page 194)
Perfect, Abundant, Deficient & Amicable
Numbers
Even/Odd Numbers
Perfect Squares