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

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

In this Grade 4 Eureka Math lesson, students learn to add decimal numbers by converting them to fraction form, finding common denominators to add tenths and hundredths together. The lesson covers adding decimals less than 1 as well as mixed numbers, and students practice converting results back to decimal notation. This approach deepens understanding of the relationship between fractions and decimals as students work with expressions like 0.3 + 0.57 and 6.8 + 5.7.

Section 1

Add Fractions and Mixed Numbers with Denominators of 10 and 100

Property

To add fractions or mixed numbers with denominators of 10 and 100, first find a common denominator by converting tenths to hundredths. For mixed numbers, add the whole number parts and the fractional parts separately.

Ab10+Cd100=(A+C)+(b×10100+d100)A\frac{b}{10} + C\frac{d}{100} = (A+C) + (\frac{b \times 10}{100} + \frac{d}{100})

Examples

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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 2Current

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

  3. Lesson 3

    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

Add Fractions and Mixed Numbers with Denominators of 10 and 100

Property

To add fractions or mixed numbers with denominators of 10 and 100, first find a common denominator by converting tenths to hundredths. For mixed numbers, add the whole number parts and the fractional parts separately.

Ab10+Cd100=(A+C)+(b×10100+d100)A\frac{b}{10} + C\frac{d}{100} = (A+C) + (\frac{b \times 10}{100} + \frac{d}{100})

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 2Current

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

  3. Lesson 3

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