Learn on PengienVision, Mathematics, Grade 5Chapter 1: Understand Place Value

Lesson 4: Understand Decimal Place Value

In this Grade 5 enVision Mathematics lesson from Chapter 1, students learn to read and write decimals to the thousandths place using standard form, expanded form, and number names. Using place-value charts, students identify the tenths, hundredths, and thousandths places and explore equivalent decimals such as 1.4, 1.40, and 1.400. The lesson builds directly on whole-number place value concepts to help students understand how decimal place value works.

Section 1

Connecting Decimal Forms

Property

A decimal number can be expressed in different forms that all represent the same value.
The three main forms are standard form (the number itself), word form, and expanded form.

Examples

Section 2

Equivalent Decimals

Property

Equivalent decimals are decimals that name the same number or represent the same value. You can create an equivalent decimal by adding or removing zeros at the end of a decimal, to the right of the last non-zero digit.

0.7=0.70=0.7000.7 = 0.70 = 0.700

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Connecting Decimal Forms

Property

A decimal number can be expressed in different forms that all represent the same value.
The three main forms are standard form (the number itself), word form, and expanded form.

Examples

Section 2

Equivalent Decimals

Property

Equivalent decimals are decimals that name the same number or represent the same value. You can create an equivalent decimal by adding or removing zeros at the end of a decimal, to the right of the last non-zero digit.

0.7=0.70=0.7000.7 = 0.70 = 0.700