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  • RWM101: Foundations of Real World Math
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    COURSE INTRODUCTION
    Course Syllabus
    Unit 1: Number Properties
    Unit 1 Learning Objectives
    1.1 Commutative Law of Addition and Multiplication
    1.1 Introduction and Key Insights
    Commutative and Associative Properties
    Commutative Law of Addition
    Commutative Law of Multiplication
    1.1 Quick Check
    1.2 Associative Law of Addition and Multiplication
    1.2 Introduction and Key Insights
    Commutative and Associative Properties
    Associative Law of Addition
    Properties of Addition Exercises
    Associative Law of Multiplication
    Associative Law of Addition and Multiplication
    1.2 Quick Check
    1.3 The Additive Identity
    1.3 Introduction and Key Insights
    Identity Property of 1
    1.3 Quick Check
    1.4 Inverse Property of Addition
    1.4 Introduction and Key Insights
    Inverse Property of Addition
    Inverse Property of Addition
    1.4 Quick Check
    1.5 The Multiplicative Identity
    1.5 Introduction and Key Insights
    Identity Property of Zero
    1.5 Quick Check
    1.6 Inverse Property of Multiplication
    1.6 Introduction and Key Insights
    Inverse Property of Multiplication
    Inverse Property of Multiplication
    1.6 Quick Check
    1.7 Multiplication by Zero
    1.7 Introduction and Key Insights
    Multiplication by Zero
    1.8 Dividing by Zero Is Undefined
    1.8 Introduction and Key Insights
    Why Dividing by Zero Is Undefined
    Dividing by Zero Is Undefined
    1.8 Quick Check
    1.9 Distributive Property
    1.9 Introduction and Key Insights
    Using the Distributive Property
    The Distributive Law of Multiplication
    1.9 Quick Check
    Unit 2: Common Multiples and Common Factors
    Unit 2 Learning Objectives
    2.1 Greatest Common Factor
    2.1 Introduction and Key Insights
    Greatest Common Divisor
    The Greatest Common Factor
    2.1 Quick Check
    2.2 Least Common Multiple
    2.2 Introduction and Key Insights
    The Least Common Multiple
    Least Common Multiple
    LCM and GCF Word Problems
    2.2 Quick Check
    Unit 3: The Order of Operations
    Unit 3 Learning Objectives
    3.1 Negative Numbers
    3.1 Introduction and Key Insights
    Introduction to Integers
    Negative Numbers Introduction
    3.1 Quick Check
    3.2 Adding and Subtracting Negative Numbers
    3.2 Introduction and Key Insights
    Adding Negative Numbers
    Addition with Negative Numbers Exercises
    Subtracting Negative Numbers
    Subtraction with Negative Numbers Exercises
    3.2 Quick Check
    3.3 Multiplying and Dividing Integers with Different Signs
    3.3 Introduction and Key Insights
    Multiplying and Dividing Integers
    Multiplying Positive and Negative Numbers
    Dividing Positive and Negative Numbers
    3.3 Quick Check
    3.4 Exponents
    3.4 Introduction and Key Insights
    Understanding Exponents
    Exponent Examples
    Introduction to Exponents
    Introduction to Exponents Exercises
    3.4 Quick Check
    3.5 Order of Operations
    3.5 Introduction and Key Insights
    Use the Language of Algebra
    Order of Operations Exercises
    3.5 Quick Check
    Unit 4: Fractions and Rational Numbers
    Unit 4 Learning Objectives
    4.1 Identifying Parts of Fractions
    4.1 Introduction and Key Insights
    Fractions of Whole Numbers
    Visualize Fractions
    4.1 Quick Check
    4.2 Equivalent Fractions
    4.2 Introduction and Key Insights
    Demonstrating Equivalent Fractions, Part I
    4.2 Quick Check
    4.3 Proper and Improper Fractions
    4.3 Introduction and Key Insights
    Proper and Improper Fractions
    Proper Fractions, Improper Fractions, and Mixed Numbers
    4.3 Quick Check
    4.4 Mixed Numbers and Improper Fractions
    4.4 Introduction and Key Insights
    Visualize Improper Fractions
    4.5 Converting Between Improper Fractions and Mixed Numbers
    4.5 Introduction and Key Insights
    Changing from an Improper Fraction
    Changing to Improper Fractions
    Converting Mixed Numbers and Improper Fractions Exercises
    4.5 Quick Check
    4.6 Fractions in Lowest Terms
    4.6 Introduction and Key Insights
    Fraction in Lowest Terms
    Reducing Fractions
    Reducing Fractions Exercises
    4.6 Quick Check
    4.7 Finding Common Denominators
    4.7 Introduction and Key Insights
    Finding Common Denominators
    Method of Finding Common Denominator
    4.7 Quick Check
    4.8 Adding and Subtracting Fractions
    4.8 Introduction and Key Insights
    Add and Subtract Fractions with Common Denominators
    Adding and Subtracting Fractions
    Add and Subtract Fractions with Different Denominators
    More with Fractions
    4.8 Quick Check
    4.9 Adding and Subtracting Mixed Numbers
    4.9 Introduction and Key Insights
    Add Mixed Numbers
    Subtract Mixed Numbers
    Practice with Unlike Denominators
    4.9 Quick Check
    4.10 Applications of Adding and Subtracting Fractions
    4.10 Introduction and Key Insights
    Adding and Subtracting Mixed Numbers
    Practice Adding and Subtracting Mixed Numbers
    4.10 Quick Check
    4.11 Multiplying Fractions and Mixed Numbers
    4.11 Introduction and Key Insights
    Multiplying Fractions and Mixed Numbers
    Practice with Multiplying Fractions
    More Practice with Multiplying Fractions
    4.11 Quick Check
    4.12 Dividing Fractions and Mixed Numbers
    4.11 Introduction and Key Insights
    Dividing Fractions
    Dividing Mixed Numbers
    Dividing Fractions Exercises
    4.12 Quick Check
    4.13 Applications of Multiplying and Dividing Fractions
    4.13 Introduction and Key Insights
    Multiplying and Dividing Fractions Word Problems
    Multiply and Divide Fractions Word Problems Exercises
    Practice Dividing Fractions
    4.13 Quick Check
    Unit 5: Decimals
    Unit 5 Learning Objectives
    5.1: Decimal Place Value
    5.1 Introduction and Key Insights
    Introduction to Decimals
    Introduction to Decimals Exercises
    5.1 Quick Check
    5.2 Rounding Decimals
    5.2 Introduction and Key Insights
    Rounding Decimals
    More on Rounding Decimals
    5.2 Quick Check
    5.3 Converting Between Decimals and Fractions
    5.3 Introduction and Key Insights
    Decimal Places
    Decimals and Fractions
    Decimal Exercises
    5.3 Quick Check
    5.4 Converting Repeating Decimals to Fractions
    5.4 Introduction and Key Insights
    Multiplying a Decimal by a Power of 10
    Converting Repeating Decimals to Fractions
    Converting Repeating Decimals to Fractions II
    Repeating Decimals
    Non-Repeating Decimals
    Decimals
    5.4 Quick Check
    5.5 Adding and Subtracting Decimal Expressions
    5.5 Introduction and Key Insights
    Adding Decimals
    Adding Hundredths Exercises
    Subtracting Decimals
    Subtracting Hundredths Exercises
    Decimal Operations
    5.5 Quick Check
    5.6 Multiplying Decimal Expressions
    5.6 Introduction and Key Insights
    Multiplying Decimals
    Multiplying Decimals Exercises
    Multiplying Fractions
    5.6 Quick Check
    5.7 Dividing Decimal Expressions
    5.7 Introduction and Key Insights
    Dividing Decimals with Hundredths
    Dividing Decimals
    5.7 Quick Check
    5.8 Word Problems Using Decimals
    5.8 Introduction and Key Insights
    Applications with Decimals
    Applications with Decimals Exercises
    5.8 Quick Check
    Unit 6: Ratios and Proportions
    Unit 6 Learning Objectives
    6.1 Introduction to Ratios
    6.1 Introduction and Key Insights
    Introduction to Ratios
    Ratios
    Ratios Exercises
    6.1 Quick Check
    6.2 Finding Unit Rates and Prices
    6.2 Introduction and Key Insights
    Solving Unit Rates and Prices
    Expressing Ratios as Fractions Exercises
    6.2 Quick Check
    6.3 Understanding Proportions
    6.3 Introduction and Key Insights
    Applications of Proportions
    Solving Proportions
    6.3 Quick Check
    6.4 Applications of Proportions
    6.4 Introduction and Key Insights
    Solving Applications of Proportions
    More Applications of Proportions
    Applications of Proportions Exercises
    6.4 Quick Check
    Unit 7: Percentages
    Unit 7 Learning Objectives
    7.1 Describing the Meaning of Percent
    7.1 Introduction and Key Insights
    The Meaning of Percents
    7.2 Converting Between Decimals, Fractions, and Percents
    7.2 Introduction and Key Insights
    Converting Percent to Decimal and Fraction
    Ratios and Rates as Percents
    7.2 Quick Check
    7.3 Determine the Percent Given Two Numbers
    7.3 Introduction and Key Insights
    Solving Basic Percent Problems
    Percent Exercises
    7.3 Quick Check
    7.4 Percent Increase or Decrease and Other Percent Applications
    7.4 Introduction and Key Insights
    Calculating Percent Increase, Decrease, and Discount
    Percent Increase, Decrease, and Discount
    Calculating Sales Tax and Commission
    Sales Tax and Commission Exercises
    7.4 Quick Check
    Unit 8: Graphs and Charts
    Unit 8 Learning Objectives
    8.1: Mean, Median, Mode and Range
    Averages and Probability
    Finding Mean, Median, and Mode
    8.1 Quick Check
    8.2: Stem-and-Leaf Plots
    Stem-and-Leaf Plots
    Reading Stem and Leaf Plot Exercises
    8.3: Line Graphs
    Reading Line Graphs
    Make Line Plots Exercises
    8.4: Bar Graphs
    Reading Bar Graphs
    Reading Bar Graph Exercises
    Create Bar Graphs Exercises
    8.5: Box-and-Whisker Plots
    Box-and-Whisker Plots
    Creating Box and Whisker Plots Exercises
    8.6: Circle or Pie Graphs
    Reading Pie Graphs (Circle Graphs)
    8.7: Pictographs
    Reading Pictographs
    Reading Pictographs Exercises
    Course Summary
    X.X Introduction and Key Insights
    X.X Quick Check
    Study Guide
    RWM101 Study Guide
    Course Feedback Survey
    Course Feedback Survey
    Certificate Final Exam
    RWM101: Certificate Final Exam
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  1. RWM101: Foundations of Real World Math
  2. Unit 4: Fractions and Rational Numbers
  3. 4.8 Adding and Subtracting Fractions
  4. More with Fractions

More with Fractions

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More with Fractions


Source: Algebra2Go, https://youtu.be/xBO7_ePqajw
Creative Commons License This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License.

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Saylor Academy © 2010-2025 except as otherwise noted. Excluding course final exams, content authored by Saylor Academy is available under a Creative Commons Attribution 3.0 Unported license. Third-party materials are the copyright of their respective owners and shared under various licenses. See detailed licensing information. Saylor Academy®, Saylor.org®, and Harnessing Technology to Make Education Free® are trade names of the Constitution Foundation, a 501(c)(3) organization through which our educational activities are conducted.