Learn on PengienVision, Mathematics, Grade 5Chapter 2: Use Models and Strategies to Add and Subtract Decimals

Lesson 3: Use Models to Add and Subtract Decimals

In this Grade 5 enVision Mathematics lesson from Chapter 2, students use place-value blocks to model sums and differences of decimals, including regrouping tenths and hundredths. Through real-world contexts like comparing monthly electricity costs and calculating distances, students practice adding and subtracting decimals to the hundredths place. The lesson builds conceptual understanding of decimal operations before moving to standard written strategies.

Section 1

Modeling Decimal Addition with Regrouping

Property

When adding decimals using a place value model, if a column contains 10 or more units (disks), you regroup 10 of those units to form 1 unit in the next larger place value to the left. This is also known as bundling.

10×hundredths=1×tenth10 \times \text{hundredths} = 1 \times \text{tenth}
10×tenths=1×one10 \times \text{tenths} = 1 \times \text{one}

Section 2

Modeling Decimal Subtraction

Property

To model subtraction, you start with the total amount (the minuend) and take away a part (the subtrahend) to find what is left (the difference).

MinuendSubtrahend=DifferenceMinuend - Subtrahend = Difference

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Modeling Decimal Addition with Regrouping

Property

When adding decimals using a place value model, if a column contains 10 or more units (disks), you regroup 10 of those units to form 1 unit in the next larger place value to the left. This is also known as bundling.

10×hundredths=1×tenth10 \times \text{hundredths} = 1 \times \text{tenth}
10×tenths=1×one10 \times \text{tenths} = 1 \times \text{one}

Section 2

Modeling Decimal Subtraction

Property

To model subtraction, you start with the total amount (the minuend) and take away a part (the subtrahend) to find what is left (the difference).

MinuendSubtrahend=DifferenceMinuend - Subtrahend = Difference

Examples