Learn on PengiPengi Math (Grade 5)Chapter 4: Decimal Multiplication and Division

Lesson 7: Solving Multi-Step Problems with Decimal Operations

In this Grade 5 Pengi Math lesson from Chapter 4, students solve real-world multi-step problems that require decimal multiplication and division, applying the correct sequence of operations to reach accurate solutions. Students use estimation and reasoning to check their work, then communicate their thinking by writing equations and explaining their solutions in words.

Section 1

Solving Multi-Step Decimal Word Problems

Property

Solving multi-step word problems involves translating the problem's context into a sequence of mathematical operations. The solution is found by performing these operations in the correct order:

(Step 1 Operation)(Step 2 Operation)Final Answer(\text{Step 1 Operation}) \rightarrow (\text{Step 2 Operation}) \rightarrow \text{Final Answer}

Examples

Section 2

Solving Multi-Step Decimal Division Word Problems

Property

To solve a multi-step word problem, first identify the sequence of operations required (e.g., addition, subtraction, multiplication) and then perform the decimal division.
Break the problem down into smaller, single-step parts to find the final answer.

Examples

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Chapter 4: Decimal Multiplication and Division

  1. Lesson 1

    Lesson 1: Estimating Decimal Products to Check Reasonableness

  2. Lesson 2

    Lesson 2: Multiplying Decimals by Whole Numbers Using Models

  3. Lesson 3

    Lesson 3: Multiplying Two Decimals Using Area and Partial Products

  4. Lesson 4

    Lesson 4: Decimal Multiplication Algorithms and Decimal Placement

  5. Lesson 5

    Lesson 5: Dividing Decimals Using Models and Algorithms

  6. Lesson 6

    Lesson 6: Dividing Decimals by Decimals

  7. Lesson 7Current

    Lesson 7: Solving Multi-Step Problems with Decimal Operations

Lesson overview

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Section 1

Solving Multi-Step Decimal Word Problems

Property

Solving multi-step word problems involves translating the problem's context into a sequence of mathematical operations. The solution is found by performing these operations in the correct order:

(Step 1 Operation)(Step 2 Operation)Final Answer(\text{Step 1 Operation}) \rightarrow (\text{Step 2 Operation}) \rightarrow \text{Final Answer}

Examples

Section 2

Solving Multi-Step Decimal Division Word Problems

Property

To solve a multi-step word problem, first identify the sequence of operations required (e.g., addition, subtraction, multiplication) and then perform the decimal division.
Break the problem down into smaller, single-step parts to find the final answer.

Examples

Book overview

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

Continue this chapter

Chapter 4: Decimal Multiplication and Division

  1. Lesson 1

    Lesson 1: Estimating Decimal Products to Check Reasonableness

  2. Lesson 2

    Lesson 2: Multiplying Decimals by Whole Numbers Using Models

  3. Lesson 3

    Lesson 3: Multiplying Two Decimals Using Area and Partial Products

  4. Lesson 4

    Lesson 4: Decimal Multiplication Algorithms and Decimal Placement

  5. Lesson 5

    Lesson 5: Dividing Decimals Using Models and Algorithms

  6. Lesson 6

    Lesson 6: Dividing Decimals by Decimals

  7. Lesson 7Current

    Lesson 7: Solving Multi-Step Problems with Decimal Operations