Learn on PengiPengi Math (Grade 6)Chapter 1: Rational Numbers — Whole Numbers, Fractions, and Decimals

Lesson 8: Connecting Fractions, Decimals, and Real Contexts

In this Grade 6 Pengi Math lesson from Chapter 1: Rational Numbers, students practice converting between fractions and decimals fluently and interpreting rational numbers in real-world measurement contexts. Learners use number line distance to solve contextual problems and compare quantities across different representations. This lesson builds the foundational skills needed for upcoming coordinate plane applications.

Section 1

A 4-Step Method for Solving Word Problems

Property

A general method for solving word problems can be broken down into four steps:

  1. Understand the Problem: Read the problem carefully. Identify the given information and what you need to find.
  2. Make a Plan: Determine which mathematical operations (addition, subtraction, multiplication, division) are needed to solve the problem.
  3. Solve: Write a numerical expression and perform the calculations.
  4. Check Your Answer: Review your work. Does your answer make sense in the context of the problem?

Examples

Book overview

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Chapter 1: Rational Numbers — Whole Numbers, Fractions, and Decimals

  1. Lesson 1

    Lesson 1: What Is a Rational Number?

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  2. Lesson 2

    Lesson 2: Whole Numbers, Integers, and Opposites

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  3. Lesson 3

    Lesson 3: Rational Numbers on the Number Line

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  4. Lesson 4

    Lesson 4: Comparing and Ordering Rational Numbers

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  5. Lesson 5

    Lesson 5: Absolute Value as Distance from Zero

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  6. Lesson 6

    Lesson 6: Operations with Decimals and Whole Numbers

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  7. Lesson 7

    Lesson 7: Divide Fractions

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  8. Lesson 8Current

    Lesson 8: Connecting Fractions, Decimals, and Real Contexts

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Lesson overview

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Section 1

A 4-Step Method for Solving Word Problems

Property

A general method for solving word problems can be broken down into four steps:

  1. Understand the Problem: Read the problem carefully. Identify the given information and what you need to find.
  2. Make a Plan: Determine which mathematical operations (addition, subtraction, multiplication, division) are needed to solve the problem.
  3. Solve: Write a numerical expression and perform the calculations.
  4. Check Your Answer: Review your work. Does your answer make sense in the context of the problem?

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 1: Rational Numbers — Whole Numbers, Fractions, and Decimals

  1. Lesson 1

    Lesson 1: What Is a Rational Number?

    LearnPractice
  2. Lesson 2

    Lesson 2: Whole Numbers, Integers, and Opposites

    LearnPractice
  3. Lesson 3

    Lesson 3: Rational Numbers on the Number Line

    LearnPractice
  4. Lesson 4

    Lesson 4: Comparing and Ordering Rational Numbers

    LearnPractice
  5. Lesson 5

    Lesson 5: Absolute Value as Distance from Zero

    LearnPractice
  6. Lesson 6

    Lesson 6: Operations with Decimals and Whole Numbers

    LearnPractice
  7. Lesson 7

    Lesson 7: Divide Fractions

    LearnPractice
  8. Lesson 8Current

    Lesson 8: Connecting Fractions, Decimals, and Real Contexts

    LearnPractice