BMCC: Math Tutorials: Index of Topics

Math Tutorials

Complete Index of Topics

Quick links to major category indices on this page:

Numbers
Fractions
Decimals
Percent and Percentages
Equations

Numbers

Factoring

• Factors and Products
• Finding Factors

Prime Numbers

• Prime and Composite Numbers
• Prime Factorization

Least Common Multiple

• Multiples
• Common Multiples
• Least Common Multiple

Greatest Common Factor

• Common Factors
• Determining the Greatest Common Factor Using Prime Factorization

Exponential Notation

• Exponents and Exponential Notation
• Some Definitions and Terms
• Simplification of Expressions Containing Exponents
• Converting Longhand Expressions to Exponential Notation
• Powers of Ten

Some Rules of Operation

• Addition Property of Zero
• Commutative Property of Addition
• Associative Property of Addition
• Multiplication Property of Zero
• Multiplication Property of One
• Multiplication Property of Reciprocals
• Commutative Property of Multiplication
• Associative Property of Multiplication
• The Distributive Property
• Order of Operations Agreement

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Fractions

Improper Fractions and Mixed Numbers

• Introduction to Fractions
• Writing an Improper Fraction as a Mixed Number
• Writing a Mixed Number as an Improper Fraction

Equivalent Fractions

• Definition of Equivalent Fractions
• Finding Equivalent Fractions
• Writing Fractions in Simplest Form

Addition of Fractions

• Adding Fractions with the Same Denominator
• Adding Fractions with Different Denominators
• Adding a Whole Number and a Fraction
• Adding a Whole Number and a Mixed Number
• Adding Two Mixed Numbers

Subtraction of Fractions

• Three Quick Definitions
• Subtracting Fractions with the Same Denominator
• Subtracting Fractions with Different Denominators
• Subtracting Two Mixed Numbers Without "Borrowing"
• Subtracting Two Mixed Numbers Using "Borrowing"
• Subtracting a Mixed Number from a Whole Number Using "Borrowing"

Multiplication of Fractions

• Multiplication of Two Fractions
• Multiplying a Whole Number by a Fraction
• Multiplying with a Mixed Number

Division of Fractions

• Defining Some Terms
• Division of Two Fractions
• Division of Fractions, Whole Numbers, and Mixed Numbers

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Decimals

Introduction to Decimals

• Decimal Notation
• Writing Decimals in Standard Form
• Writing Decimals in Words
• Rounding Decimals

Addition of Decimals

• Adding Decimals
• Estimating the Sum of Decimals

Subtraction of Decimals

• Subtracting Decimals
• Estimating the Difference of Decimals

Multiplication of Decimals

• Multiplying Decimals
• Multiplying Decimals by Powers of Ten
• Estimating the Product of Decimals

Division of Decimals

• Dividing Decimals
• Estimating the Quotient of Decimals

Fractions and Decimals

• Converting Fractions to Decimals
• Converting Decimals to Fractions

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Percent and Percentages

Introduction to Percentage

• Definition of Percentage
• Converting a Percentage to a Fraction
• Converting a Percentage to a Decimal
• Converting a Fraction to a Percentage
• Converting a Decimal to a Percentage

Working with Percentage

• The Basic Percentage Equation
• Finding an Amount When Percentage and Base are Given
• Finding a Percentage When Base and Amount are Given
• Finding the Base When Percentage and Amount are Given

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Equations

Variables

• Introduction and Some Definitions
• Evaluating Variable Expressions
• Simplifying Variable Expressions Without Parentheses
• Simplifying Variable Expressions With Parentheses

Introduction to Equations

• Two Quick Definitions
• Determining Whether a Specific Value is a Solution of an Equation

Solving Simple Equations

• Introduction to Solving Equations
• Solving Equations of the Form x + a = b
• Solving Equations of the Form ax = b

Solving More Complex Equations

• Solving Equations of the Form ax + b = c
• Solving Equations of the Form ax + b = cx + d
• Solving Equations with Parentheses
  
  

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