Section 1
Adjacent Place Value Relationships
Property
The value of a digit becomes 10 times larger for each place it moves to the left and as large for each place it moves to the right.
In this Grade 5 Eureka Math lesson from Chapter 1, students use place value understanding to reason abstractly about how adjacent base ten units relate to each other across the full range from millions to thousandths. Through activities like bundling units, multiplying and dividing by 10, and using a place value chart, students discover that moving one position left makes a unit 10 times larger, while moving one position right makes it one-tenth the size. The lesson builds on concrete place value work introduced in Lesson 1 and strengthens students' fluency with decimal place value concepts.
Section 1
Adjacent Place Value Relationships
The value of a digit becomes 10 times larger for each place it moves to the left and as large for each place it moves to the right.
Section 2
Applying Digit Shift Patterns for 10, 100, 1000
When multiplying by a power of 10, every digit shifts to the left. The number of places shifted is equal to the number of zeros in the power of 10.
When dividing by a power of 10, every digit shifts to the right. The number of places shifted is equal to the number of zeros in the power of 10.
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Section 1
Adjacent Place Value Relationships
The value of a digit becomes 10 times larger for each place it moves to the left and as large for each place it moves to the right.
Section 2
Applying Digit Shift Patterns for 10, 100, 1000
When multiplying by a power of 10, every digit shifts to the left. The number of places shifted is equal to the number of zeros in the power of 10.
When dividing by a power of 10, every digit shifts to the right. The number of places shifted is equal to the number of zeros in the power of 10.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter