Learn on PengiEureka Math, Grade 4Chapter 29: Exploration of Tenths

Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.

In this Grade 4 Eureka Math lesson from Chapter 29, students learn to represent tenths as fractions greater than 1 and as decimal numbers using metric measurement tools and area models. They practice converting between fraction form and decimal notation, including mixed numbers such as 1 3/10 and their decimal equivalents. The lesson builds on prior work with like-unit fraction addition and counting by tenths to connect measurement contexts with decimal representation.

Section 1

Represent Fractions Greater Than 1 Using Area Models

Property

To represent a fraction greater than one with a denominator of 10, such as a10\frac{a}{10} where a>10a > 10, you shade 'a' tenths. This will require shading one or more complete area models (wholes) and some parts of another, where each whole is composed of 1010\frac{10}{10}.

Examples

Section 2

Relating Fractions Greater Than 1, Mixed Numbers, and Decimals

Property

A number with tenths greater than one can be expressed in three equivalent forms: a fraction greater than 1, a mixed number, and a decimal. The relationship is shown by:

Examples

Book overview

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

Continue this chapter

Chapter 29: Exploration of Tenths

  1. Lesson 1

    Lesson 1: Use metric measurement to model the decomposition of one whole into tenths.

  2. Lesson 2Current

    Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.

  3. Lesson 3

    Lesson 3: Represent mixed numbers with units of tens, ones, and tenths with place value disks, on the number line, and in expanded form.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Represent Fractions Greater Than 1 Using Area Models

Property

To represent a fraction greater than one with a denominator of 10, such as a10\frac{a}{10} where a>10a > 10, you shade 'a' tenths. This will require shading one or more complete area models (wholes) and some parts of another, where each whole is composed of 1010\frac{10}{10}.

Examples

Section 2

Relating Fractions Greater Than 1, Mixed Numbers, and Decimals

Property

A number with tenths greater than one can be expressed in three equivalent forms: a fraction greater than 1, a mixed number, and a decimal. The relationship is shown by:

Examples

Book overview

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

Continue this chapter

Chapter 29: Exploration of Tenths

  1. Lesson 1

    Lesson 1: Use metric measurement to model the decomposition of one whole into tenths.

  2. Lesson 2Current

    Lesson 2: Use metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.

  3. Lesson 3

    Lesson 3: Represent mixed numbers with units of tens, ones, and tenths with place value disks, on the number line, and in expanded form.