Beginning Algebra Contents A
The Set of Real Numbers - The Real Number System
Sets of
Numbers:
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Real numbers
The Real Number Line, and Relations
One-dimensional coordinate system
Unit interval
Relations, less than and greater than
Interval definition and notation
Distance and absolute value
Distance between two numbers
Properties of absolute value
Midpoint formula for the real number line
Natural Numbers and Integers - The Basic Operations
Addition and subtraction
Multiplication and division
Order of operations
The divisibility rules
Prime and composite numbers
Prime factorization
The greatest common divisor/factor (GCD/GCF)
The least common multiple (LCM)
Fractions
Proper and improper fractions
Mixed numbers
Converting mixed numbers to improper fractions
Converting improper fractions to mixed numbers
Equivalent fractions
Comparing fractions
Converting and reducing fractions
Lowest terms
Decimal fractions
Adding
and subtracting like fractions
Adding and subtracting fractions
Multiplying fractions
Dividing fractions
Simplifying complex fractions
Decimal Numbers
Decimal representation of rational numbers or fractions
Expanded form of decimal number, decimal fractions
Whole number part or integer part (integral part) and decimal places
Terminating decimals
Recurring decimals (Infinite decimals, period)
Purely recurring decimals
Mixed recurring decimals
Converting decimal number to a fraction
Converting terminating decimal to a fraction
Converting the purely recurring decimal to a fraction
Converting the mixed recurring decimal to a fraction
Adding and subtracting decimals
Multiplying and dividing decimals by power of ten
Place values and place holders
Multiplying and dividing decimals by decimal units
Decimal numbers scientific notation
Multiplication of decimal numbers
Division of decimal numbers
Rational Numbers
Definition
Comparing rational numbers
Equivalent fractions
Reducing or simplifying fractions
Adding and subtracting rational numbers or fractions
Multiplication of rational numbers
Reciprocal fractions, multiplicative inverse
Division of rational numbers
Simplifying complex or compound fractions
Beginning Algebra Contents
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