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

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