Section 1
Representing Single-Place-Value Decimals
Property
A single digit's value in a decimal can be expressed in various equivalent ways.
In this Grade 5 Eureka Math lesson from Chapter 2, students learn to represent decimal fractions such as thousandths and hundredths in standard, expanded, and unit forms using place value reasoning. Students practice writing decimals like 0.001 as fractions, expanded expressions (1 × 1/1000), and word form, building fluency through activities that connect multiplying and dividing decimals by powers of 10. The lesson bridges whole-number place value understanding to decimal notation, preparing students to read and write decimal fractions with precision.
Section 1
Representing Single-Place-Value Decimals
A single digit's value in a decimal can be expressed in various equivalent ways.
Section 2
Representing Two-Place-Value Decimals
A decimal with digits in two different place values, like , can be expressed as the sum of its parts.
The value 25 thousandths can be represented as:
Section 3
Representing Multi-Digit Decimals in Various Forms
A number's value can be decomposed into the sum of its place value parts and composed back into standard form. These different representations (standard, expanded, unit, and word form) are all equivalent ways to express the same quantity.
Expand to review the lesson summary and core properties.
Section 1
Representing Single-Place-Value Decimals
A single digit's value in a decimal can be expressed in various equivalent ways.
Section 2
Representing Two-Place-Value Decimals
A decimal with digits in two different place values, like , can be expressed as the sum of its parts.
The value 25 thousandths can be represented as:
Section 3
Representing Multi-Digit Decimals in Various Forms
A number's value can be decomposed into the sum of its place value parts and composed back into standard form. These different representations (standard, expanded, unit, and word form) are all equivalent ways to express the same quantity.