Learn on PengiEureka Math, Grade 5Chapter 6: Dividing Decimals

Lesson 4: Solve word problems using decimal operations.

In this Grade 5 Eureka Math lesson from Chapter 6 on Dividing Decimals, students practice solving multi-step word problems using decimal operations including addition and division. Using tape diagrams as visual models, students work through real-world scenarios such as splitting costs equally among friends and distributing money as allowances, applying the standard division algorithm to decimal values. The lesson also reinforces fluency with multiplying and dividing by powers of ten (10¹ through 10⁴) and dividing decimals like 0.3 ÷ 2 using place value understanding.

Section 1

Modeling with Tape Diagrams

Property

A tape diagram models the relationship between a whole (total) and its parts. For problems involving equal groups, this relationship can be expressed as:

Total=Number of Parts×Size of Each Part \text{Total} = \text{Number of Parts} \times \text{Size of Each Part}

This model helps identify the unknown quantity and choose the correct operation to solve for it.

Examples

Section 2

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 3

Dividing a Decimal by a Whole Number

Property

To divide a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then, divide using the standard algorithm as you would with whole numbers.

Examples

Book overview

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Chapter 6: Dividing Decimals

  1. Lesson 1

    Lesson 1: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.

  2. Lesson 2

    Lesson 2: Divide decimals with a remainder using place value understanding and relate to a written method.

  3. Lesson 3

    Lesson 3: Divide decimals using place value understanding, including remainders in the smallest unit.

  4. Lesson 4Current

    Lesson 4: Solve word problems using decimal operations.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Modeling with Tape Diagrams

Property

A tape diagram models the relationship between a whole (total) and its parts. For problems involving equal groups, this relationship can be expressed as:

Total=Number of Parts×Size of Each Part \text{Total} = \text{Number of Parts} \times \text{Size of Each Part}

This model helps identify the unknown quantity and choose the correct operation to solve for it.

Examples

Section 2

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 3

Dividing a Decimal by a Whole Number

Property

To divide a decimal by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend. Then, divide using the standard algorithm as you would with whole numbers.

Examples

Book overview

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

Continue this chapter

Chapter 6: Dividing Decimals

  1. Lesson 1

    Lesson 1: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.

  2. Lesson 2

    Lesson 2: Divide decimals with a remainder using place value understanding and relate to a written method.

  3. Lesson 3

    Lesson 3: Divide decimals using place value understanding, including remainders in the smallest unit.

  4. Lesson 4Current

    Lesson 4: Solve word problems using decimal operations.