# Chapter 2 - Sets, Whole Numbers, and plewis/Math109/ 2 - Sets, Whole Numbers, and Numeration 2.1 - Sets ... 2.3 - Hindu-Arabic System Hindu-Arabic numeration system Expanded

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• MATH 109 - FINAL EXAMTHURSDAY, MAY 10TH

10:30AM - 1:00PMChapters 2 through 9 (not 4.3 or 9.4)

Chapter 2 - Sets, Whole Numbers, and Numeration

2.1 - Sets

Set Notation/Operations (, /,,,,,, etc.)

Vocabulary - There are quite a few terms in this section (SEE PAGE 84 )

2.2 - Whole Numbers and Numeration

Cardinal numbers, ordinal numbers, identification numbers

Roman Numerals

2.3 - Hindu-Arabic System

Hindu-Arabic numeration system

Expanded form

Naming numerals

Chapter 3 - Whole Numbers

3.1 - Addition and Subtraction

Addition - Set model, Measurement model, Properties (Closure, commutative, associative,additive identity)

Subtraction - Take-away approach, missing-addend approach

3.2 - Multiplication and Division

Multiplication - Approaches (repeated-addition, rectangular array, cartesian product),Properties (Closure, commutative, associative, multiplicative identity, distributive)

Division - Missing factor approach, repeated subtraction approach

3.3 - Ordering and Exponents

Operations with Exponents (multiplying/dividing same base, etc.)Order of Operations (PEMDAS)

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• Chapter 4 - Whole Number Computation

4.1 - Mental Math, Estimation

Methods (Left-to-Right, Compensation, Compatible numbers)Estimation (Range, One/Two-Column Front-End)

4.2 - Written Algorithms for Whole-Number Operations

Lattice method for addition/multiplication

Chapter 5 - Number Theory

5.1 - Primes, Composites, Divisibility Tests

Definition of prime/composite numberFactor treePrime factorizationDivides (divisor, factor, multiple, is divisible by)Divisibility tests ( + theorem on pg. 190 )

5.2 - Counting Factors, GCF, LCM

Count factorsGCF (Set intersection method, Prime factorization method, and theorem on pg. 200)LCM (Prime factorization method)

Chapter 6 - Fractions

6.1 - The Set of Fractions

Basics

6.2 - Addition and Subtraction

Be able to add/subtract fractions; Addition properties (Closure, commutative, associative,identity)

6.3 - Multiplication and Division

Be able to multiply/divide fractions; Multiplication properties (Closure, commutative,associative, multiplicative identity, multiplicative inverse, distributive)

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• Chapter 7 - Decimals, Ratio, Proportion, and Percent

7.1 - Decimals

Expanded form; Names; Terminating decimal or not?; Fraction equivalents

7.2 - Operations with Decimals

+, -, , decimals; Repeating decimals (classify; express fraction as decimal)

7.3 & 7.4 - Ratio and Proportion & Percent

Word problems

Chapter 8 - Integers

8.1 - Addition and Subtraction

Measurement model; Addition properties (Closure, commutative, associative, identity,additive inverse); Add/subtract integers

8.2 - Multiplication and Division

Multiplication properties (Closure, commutative, associative, identity, distributivity);Multiply/divide integers

Chapter 9 - Rational Numbers, Real Numbers, and Algebra

9.1 - Rational Numbers

Operations; Addition Properties (Closure, commutative, associative, identity, inverse);Multiplication Properties (Closure, commutative, associative, identity, inverse, distributive)

9.2 - Real Numbers

Properties; Rational exponents; Solve algebraic equations/inequalities

9.3 - Functions

Notation; Sequences; Word problems

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