Learn on PengiEureka Math, Grade 4Chapter 32: Addition with Tenths and Hundredths

Lesson 3: Solve word problems involving the addition of measurements in decimal form.

In this Grade 4 Eureka Math lesson from Module 6 on Decimal Fractions, students practice solving word problems that require adding measurements expressed in decimal form, such as combining volumes in liters given in tenths and hundredths. Students apply the Read-Draw-Write process and convert decimals to fraction form to find sums, reinforcing part-whole relationships with decimal numbers. The lesson builds directly on prior work with decimal notation and adding tenths and hundredths in fraction and decimal form.

Section 1

Model Multi-Step Addition Problems with Tape Diagrams

Property

A tape diagram for multi-step addition visually represents how different parts combine to make a total. Each part is a segment of the tape, and the total is the entire length of the tape, which is often the unknown quantity to be found.

PartA+PartB+PartC=TotalPart_A + Part_B + Part_C = Total

Examples

Section 2

Converting Between Decimals and Mixed Numbers

Property

A decimal number is equivalent to a mixed number where the whole number part is the same, and the decimal part is written as a fraction. The denominator is a power of 10 corresponding to the place value of the last decimal digit. For example, a decimal W.d1d2W.d_1d_2 is equivalent to the mixed number Wd1d2100W \frac{d_1d_2}{100}.

Examples

Section 3

Add Mixed Numbers with Regrouping (Hundredths)

Property

To add mixed numbers, add the whole numbers and the fractions separately. If the sum of the fractions is an improper fraction where the numerator is greater than or equal to the denominator (e.g., 115100\frac{115}{100}), regroup it into a mixed number (e.g., 1151001 \frac{15}{100}). Add the new whole number to the sum of the original whole numbers.

Examples

Book overview

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Chapter 32: Addition with Tenths and Hundredths

  1. Lesson 1

    Lesson 1: Apply understanding of fraction equivalence to add tenths and hundredths.

  2. Lesson 2

    Lesson 2: Add decimal numbers by converting to fraction form.

  3. Lesson 3Current

    Lesson 3: Solve word problems involving the addition of measurements in decimal form.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Model Multi-Step Addition Problems with Tape Diagrams

Property

A tape diagram for multi-step addition visually represents how different parts combine to make a total. Each part is a segment of the tape, and the total is the entire length of the tape, which is often the unknown quantity to be found.

PartA+PartB+PartC=TotalPart_A + Part_B + Part_C = Total

Examples

Section 2

Converting Between Decimals and Mixed Numbers

Property

A decimal number is equivalent to a mixed number where the whole number part is the same, and the decimal part is written as a fraction. The denominator is a power of 10 corresponding to the place value of the last decimal digit. For example, a decimal W.d1d2W.d_1d_2 is equivalent to the mixed number Wd1d2100W \frac{d_1d_2}{100}.

Examples

Section 3

Add Mixed Numbers with Regrouping (Hundredths)

Property

To add mixed numbers, add the whole numbers and the fractions separately. If the sum of the fractions is an improper fraction where the numerator is greater than or equal to the denominator (e.g., 115100\frac{115}{100}), regroup it into a mixed number (e.g., 1151001 \frac{15}{100}). Add the new whole number to the sum of the original whole numbers.

Examples

Book overview

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

Continue this chapter

Chapter 32: Addition with Tenths and Hundredths

  1. Lesson 1

    Lesson 1: Apply understanding of fraction equivalence to add tenths and hundredths.

  2. Lesson 2

    Lesson 2: Add decimal numbers by converting to fraction form.

  3. Lesson 3Current

    Lesson 3: Solve word problems involving the addition of measurements in decimal form.