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    • Arithmetic
       
      1. Whole Numbers
         
        1. Place Values
        2. Adding Whole Numbers
        3. Subtracting Whole Numbers
        4. Rounding
        5. Division of Whole Numbers
        6. Exponential Notation and Order of Operatons
      2. Multiplication and Division of Fractions
         
        1. Divisibility
        2. Multiples, Factors, and Factorization
        3. Fractions
        4. Multiplying Fractions
        5. Simplifying Fractions
        6. Multiplying and Simplifying Fractions
        7. Reciprocals and Dividing Fractions
      3. Addition and Subtraction of Fractions
         
        1. Finding Least Common Multiples
        2. Adding Fractions
        3. Subtracting Fractions
        4. Mixed Numbers and Improper Fractions
        5. Adding and Subtracting Mixed Numbers
        6. Multiplying and Dividing Mixed Numbers
      4. Decimal Numbers
         
        1. Decimal Notation
        2. Comparing and Rounding Decimal Numbers
        3. Addition and Subtraction of Decimal Numbers
      5. Multiplication and Division of Decimals
         
        1. Multiplication with Decimals
      6. Areas and Perimeters
         
        1. Converting English Units of Length
        2. Converting Metric Units of Length
        3. Finding Perimeters of Geometric Figures
    • Pre-Algebra
       
      1. Whole Numbers
         
        1. The Base Ten Number System
        2. Addition of Whole Numbers
        3. Subtraction of Whole Numbers
        4. Multiplication of Whole Numbers
        5. Division of Whole Numbers
        6. Exponents
        7. Order of Operations
        8. Averages of Whole Numbers
        9. Prime Numbers and Prime Factorization of Numbers
        10. The Greatest Common Factor (GCF) and Least Common Multiple (LCM)
      2. Fractions
         
        1. Introduction to Fractions
        2. Building or Reducing Fractions
        3. Addition of Fractions
        4. Subtraction of Fractions
        5. Addition and Subtraction of Mixed Numbers
        6. Multiplication of Fractions
        7. Division of Fractions
        8. Simplifying Complex Fractions
      3. Decimal Numbers
         
        1. Decimal Numbers
        2. Rounding Decimal Numbers
        3. Addition and Subtraction of Decimal Numbers
        4. Division of Decimal Numbers
        5. Fractions and Decimal Numbers
      4. Ratios and Proportions
         
        1. Ratios
        2. Proportions
      5. Percents
         
        1. Percents
        2. Fractions, Decimals and Percents
        3. Percent Equations
        4. Applications of Percents
      6. Signed Numbers
         
        1. The Number Line
        2. Addition of Signed Numbers
        3. Subtraction of Signed Numbers
        4. Multiplication of Signed Numbers
        5. Division of Signed Numbers
      7. Roots of Numbers
         
        1. Square Roots
        2. Properties of Square Roots
        3. Calculating Square Roots
        4. Higher Roots
      8. Units of Measurement
         
        1. Length Measurement in the English and Metric Systems
        2. Weight Measurement in the English and Metric Systems
        3. Capacity Measurement in the English and Metric Systems
      9. Algebra Topics
         
        1. The Language of Algebra
        2. Simplifying Algebraic Expressions
        3. Solving Linear Equations Using the Addition or Subtraction Propoerties of Equality
    • Elementary Algebra
       
      1. A Review of Arithmetic
         
        1. Basic Concepts of Arithmetic and Algebra
        2. Common Fractions
        3. Decimals and Percents
        4. Some Concepts from Geometry
      2. Algebra and the Real Numbers
         
        1. Sets and Real Numbers
        2. Symbols, Variables, and Absolute Value
        3. Addition and Subtraction of Real Numbers
        4. Multiplication and Division of Real Numbers
        5. Properties of Real Numbers
        6. Solving Applied Problems
      3. Linear Equations and Inequalities in One Variable
         
        1. Simplifying Algebraic Expressions
        2. Solving Linear Equations Using the Addition and Subtraction Properities of Equality
        3. Solving Linear Equations Using the Multiplication and Division Properties of Equality
        4. Literal Equations and Formulas
        5. The Addition and Subtraction Properties of Inequality
        6. The Multiplication and Division Properties of Inequality
        7. Solving Absolute Value Equations and Inequalities
        8. More Applications
      4. Linear Equations and Inequalities in Two Variables; Functions
         
        1. The Rectangular (Cartesian) Coordinate System
        2. Graphing Linear Equations in Two Variables
        3. The Slope of a Line; Equations of a Line
        4. Graphing Linear Inequalities in Two Variables
        5. Relations; Functions; and Function Notation
      5. Systems of Linear Equations and Inequalities
         
        1. Solving Systems of Linear Equations by the Graphing Method
        2. Solving Systems of Linear Equations by the Elimination Method
        3. Solving Systems of Linear Equations by the Substitution Method
        4. Solving Systems of Linear Inequalities
        5. More Applications
      6. Polynomials and the Laws of Exponents
         
        1. Multiplication and Division with Exponents
        2. More on Exponents; Scientific Notation
        3. Adding and Subtracting Polynomials
        4. Multiplying Polynomials
        5. Dividing Polynomials
        6. More Applications
      7. Products and Factors
         
        1. Factoring; The Greatest Common Factor
        2. Factoring Trionimals with Leading Coefficient of 1
        3. Factoring Trionimals with Leading Coefficient Not 1
        4. Special Factors; Factoring by Grouping
        5. A Summary of Factoring
        6. Solving Factorable Quadratic Equations
        7. More Applications
      8. Rational Expressions and Fractions
         
        1. Simplifying Rational Expressions
        2. Multiplying and Dividing Rational Expressions
        3. Adding and Subtracting Rational Expressions; The Least Common Denominator
        4. Complex Fractions
        5. Solving Rational Equations
        6. Ratio and Proportion
        7. Variation
      9. Roots and Radicals
         
        1. Roots and Radicals
        2. Simplified Forms of Radicals
        3. Addition and Subtraction of Radicals
        4. Multiplication and Division of Radicals
        5. Solving Equations Containing Radicals
        6. Rational Exponents and Radicals
      10. Quadratic Equations
         
        1. Solving Equations by Factoring and the Square Root Method
        2. Solving Quadratic Equations by Completing the Square
        3. Solving Quadratic Equations by the Quadratic Formula
        4. Solving Quadratic Equations with Complex-Number Solutions
        5. Graphing Quadratic Equations; The Parabola
        6. More Applications
    • Intermediate Algebra
       
      1. The Real-Number System
         
        1. Operations with Real Numbers
      2. Linear Equations and Inequalities
         
        1. Solving Linear Equations in One Variable
        2. From Words to Symbols: An Introduction to Applied Problems
        3. Literal Equations and Formulas
        4. Solving Linear Equations Involving Absolute Value
        5. Solving Linear Inequalities
        6. Solving Linear Inequalities Involving Absolute Value
      3. Linear Equations and Functions in Two Variables
         
        1. The Rectangular Coordinate System; Graphing Linear Equations in Two Variables
        2. The Slope of a line; Distance and Midpoint Formulas
        3. Point-Slope, Slope-Intercept, and the General Form of the Equation of a Line
        4. Relations, Functions, and Function Notation
        5. The Algebra of Functions, Inverse Functions
      4. Systems of Linear Equations and Inequalities
         
        1. Solving Systems of Linear Equations by Graphing, Elimination and Substitution
        2. Solving Systems of Linear Equations in Three or More Variables
        3. Determinants and Cramers Rule
        4. Solving Systems of Linear Equations Using Matrices
        5. Graphing Linear Inequalities in Two Variables
      5. Laws of Exponents, Polynomials, and Polynomial Functions
         
        1. Exponents and Scientific Notation
        2. Adding and Subtracting Polynomials
        3. Multiplying Polynomials
        4. Dividing Polynomials
        5. Synthetic Division
      6. Factoring Polynomials; Factoring by Grouping
         
        1. Monomial Factors; Factoring by Grouping
        2. Factoring Type I Trinominals
        3. Factoring Type II Trinomials; A Test for Factorability
        4. Factoring Special Types of Polynomials; More Factoring by Grouping
        5. General Methods of Factoring
      7. Rational Expressions, Equations, and Functions
         
        1. Reducing and Building Rational Expressions
        2. Multiplying and Dividing Rational Expressions
        3. Adding and Subtracting Rational Expressions
        4. Simplifying Complex Rational Expressions
        5. Solving Rational Equations
      8. Radicals, and Rational Exponents
         
        1. Rational Exponents
        2. Radicals and Rational Exponents
        3. Arithmetic Operations Involving Radicals
        4. Division by Radicals; Rationalizing
        5. Solving Equations Involving Radicals
        6. Complex Numbers
      9. Quadratic Equations, Functions, and Inequalities
         
        1. Solving Polynomial Equations by Factoring and the Square Root Property
        2. Solving Quadratic Equations by Completing the Square
        3. Solving Quadratic Equations Using the Quadratic Formula
        4. Solving Equations Involving Quadratics
        5. Solving Inequalities Involving Quadratics
        6. Variation
        7. More Applications
      10. Conic Sections
         
        1. Circles
        2. Parabolas
        3. Ellipses
        4. Hyperbolas
        5. Solving Nonlinear Systems of Equations
      11. Exponential and Logarithmic Functions
         
        1. Exponential Functions
        2. Logarithmic Functions
        3. Properties of Logarithms
        4. Solving Exponential and Logarithmic Equations
      12. Sequences, Series, and the Binomial Theorem
         
        1. Sequences, Series, and Summation Notation
        2. Arithmetic Sequences and Series
        3. Geometric Sequences and Series
        4. The Binomial Theorem
    • Geometry
       
      1. The Foundation of Geometry
         
        1. Points, Lines, and Planes
        2. Segments, Rays, and Distance
        3. Angle Measures
      2. Reasoning and Proofs
         
        1. Reasoning and Proofs
        2. Reasoning With Properties From Algebra
        3. Segment Relationship Theorems
        4. Angle Relationship Theorems
      3. Perimeters, Areas, Surface Areas and Volumes
         
        1. Perimeters and Areas
    • College Algebra
       
      1. A Review of Basic Concepts
         
        1. Sets
        2. Properties of Real Numbers
        3. Simplifying Expressions
      2. Relations, Functions, and Graphs
         
        1. Relations and Functions
        2. Functions and Graphs
        3. Graphs and Properties
        4. Linear Relations and Functions
        5. Graphing Quadratic Functions
        6. Composite and Inverse Functions
      3. Polynomial Functions
         
        1. Division of Polynomials
        2. The Remainder and Factor Theorems
        3. The Fundamental Theorem of Algebra
        4. Isolating Real Zeros
        5. Partial Fraction Decomposition
      4. Conic Sections
         
        1. The Parabola
        2. The Ellipse and Hyperbola
      5. Matrices
         
        1. Matrices
        2. Matrix Arithmetic
        3. Matrix Multiplication
      6. Sequences and Series
         
        1. Sequences
        2. Arithmetic Sequences and Series
        3. Geometric Sequences and Series
        4. The Binomial Expansion
      7. Probability
         
        1. The Fundamental Principle of Counting
        2. Permutations and Combinations
    • Trigonometry
       
      1. Topics From Algebra
         
        1. Real Numbers, Equations, and Inequalities
        2. Rectangular Coordinate Systems and Graphs
      2. The Trigonometric Functions
         
        1. Angles
        2. The Trigonometric Functions
        3. Graphs of Trigonometric Functions
        4. The Trigonometric Functions of Angles
        5. The Unit Circle
        6. Trigonometric Graphs
        7. Additional Trigonometric Graphs
        8. Solving Right Triangles
      3. Analytic Trigonometry
         
        1. Identities
        2. Solving Trigonometric Equations
        3. Sum and Difference Formulas
        4. Double Angle and Half Angle Formulas
        5. Product-To-Sum and Sum-To-Product Formulas
        6. Inverse Trigonometric Functions
      4. Applications of Trigonometry
         
        1. The Law of Sines
        2. The Law of Cosines
        3. Trigonometric Form of Complex Numbers
        4. De Moivres Theorem
        5. Vectors
        6. The Dot Product of Two Vectors
      5. Logarithms
         
        1. Exponential Functions
        2. Logarithmic Functions
        3. Properties of Logarithms
        4. Solving Exponential and Logarithmic Equations
      6. Topics of Graphing in the Coordinate Plane
         
        1. The Parabola
        2. The Ellipse
        3. The Hyperbola
        4. Plane Curves and Parametric Equations
        5. Polar Coordinates
    • Precalculus
       
      1. Polynomial and Rational Functions
         
        1. The Remainder and Factor Theorems
        2. Complex Zeros and the Fundamental Theorem of Algebra
    • Precalculus Review For Calculus I
       
      1. Fundamentals of Algebra
         
        1. Basic Mathematics
        2. Real Numbers and Inequalities
        3. The Cartesian Plane
        4. Lines
      2. Matrices and Determinants
         
        1. Matrices and Determinants
    • Calculus I
       
      1. Test Yourself
         
        1. Basic Mathematics
        2. Real Numbers
        3. Cartesian Plane
        4. Lines
      2. Functions and Limits
         
        1. Functions and Graphs
        2. More on Graphs of Functions
        3. Trigonometric Functions
        4. Setting Up Functions
        5. Limit of a Function at a Point
        6. Theorems on Limits
        7. Limits that Involve Infinity
        8. Continuity
      3. The Derivative
         
        1. Rate of Change of a Function, Tangent to a Graph, Instantaneous Velocity
        2. The Derivative
        3. Rules of Differentiation I - Power and Sum Rules
        4. Rules of Differentiation II - Product and Quotient Rules
        5. Derivatives of the Trigonometric Functions, Some Preliminary Limit Results
        6. Rules of Differentiation III - Chain Rule
        7. Higher-Order Derivatives
        8. Implicit Differentiation
        9. Rules of Differentiation IV - Extended Power Rules
        10. Differentials and Linear Approximation
        11. Newtons Method
      4. Applications of the Derivative
         
        1. Rectilinear Motion and the Derivative
        2. Related Rates
        3. Extrema of Functions
        4. Rolles Theorem and the Mean Value Theorem
        5. Graphing and the First Derivative
        6. Graphing and the Second Derivative
        7. Further Applications of Extrema
        8. Applications of the Derivative in Economics
      5. The Integral
         
        1. Antiderivatives
        2. Indefinite Integrals and the u-Substitution
        3. Sigma Notation
        4. Area Under a Graph
        5. Definite Integral; Definition of a Definite Integral
        6. Properties of the Definite Integral
        7. Fundamental Theorem of Calculus
        8. Approximate Integration
      6. Applications of the Integral
         
        1. Area and Area Bounded by Two Graphs
        2. Solids of Revolution
        3. Arc Length
        4. Surfaces of Revolution
        5. Average Value of a Function and the Mean Value Theorem
        6. Rectilinear Motion and the Integral
        7. Centers of Mass
    • Calculus II
       
      1. Logarithmic and Exponential Functions
         
        1. Inverse Functions
        2. The Natural Logarithmic Function
        3. The Exponential Function
        4. Integrals Involving Logarithmic and Exponential Functions
        5. Exponential and Logarithmic Functions to Other Bases
        6. The Hyperbolic Functions
        7. Applications and First-Order Differential Equations; Separable First-Order Equations; Linear First-Order Equations
      2. Inverse Trigonometric and Hyperbolic Functions
         
        1. Inverse Trigonometric Functions
        2. Derivatives and Integrals That Involve Inverse Trigonometric Functions
        3. Inverse Hyperbolic Functions
      3. Techniques of Integration
         
        1. Algebraic Substitutions
        2. Integration By Parts
        3. Integration of Powers of Trigonometric Functions
        4. Trigonometric Substitutions
        5. Partial Fractions; Denominators Containing Linear Factors; Denominators Containing Irreducible Quadratic Factors
      4. Indeterminant Forms and Improper Integrals
         
        1. L Hospitals Rule
        2. Improper Integrals; Infinite Limits of Integration; Infinite Discontinuities
      5. Sequences and Series
         
        1. Sequences
        2. Infinite Series
        3. Ratio and Root Tests
      6. Analytic Geometry In the Plane
         
      7. Calculus III
         
        1. Vectors and 3-Space
           
          1. Vectors in 2-Space
          2. 3-Space; Rectangular Coordinate System in Three Dimensions; Vectors in 3-Space
          3. Dot Product
          4. Cross Product
          5. Lines in 3-Space
          6. Planes
          7. Cylinders and Spheres
        2. Vector-Valued Functions
           
          1. Vector Functions
        3. Differential Calculus of Functions of Several Variables
           
          1. Partial Differentiation
        4. Integral Calculus of Functions of Several Variables
           
          1. Vector Integral Calculus
             
          2. Recorded Lectures
             
            1. Oakland Community College - Highland Lake Campus
               
              1. Fall 2009 Semester
        5. Industry

          • Skilled Trades
          • Nurse Practitioners
          • Automotive Manufacturing
          • Computer-aided manufacturing (CAM)
          • Civil engineering
          • Residential Building Construction
        6. Alphabetical Index
          of Keywords

          • Contents
          • Proofs
          • Discussions
        Home / Classroom / Pre-Algebra / Units of Measurement / Capacity Measurement in the English and Metric Systems

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        Pre-Algebra

        Units of Measurement

        1. Length Measurement in the English and Metric Systems

        2. Weight Measurement in the English and Metric Systems

        3. Capacity Measurement in the English and Metric Systems

        1. Converting English Units of Capacity
        2. Converting Metric Units of Capacity
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