In this Grade 5 Eureka Math lesson from Chapter 1, students use place value disks and charts to explore how adjacent base ten units relate to one another across the full range from millions to thousandths. They practice renaming units, multiplying by 10, and reading decimals in unit form (such as "2 tenths" instead of "zero point two") to build connections between whole numbers and decimal fractions. The lesson strengthens understanding of how each place value unit is ten times greater or one-tenth as large as its neighbor.
Section 1
Extending Place Value to Thousandths
Dividing a place value unit by 10 results in the next smaller unit to its right. This pattern extends the place value chart to include decimals such as tenths, hundredths, and thousandths.
Section 2
Bundling and Unbundling with Place Value Disks
Bundling is composing a larger unit from 10 smaller units (e.g., ), which corresponds to multiplication by 10. Unbundling is decomposing a larger unit into 10 smaller units (e.g., ), which corresponds to division by 10.
Section 3
Generalizing the Pattern: Shifting Digits by Powers of 10
When multiplying or dividing by a power of 10, 100 and 1,000, the number of zeros in the power of 10 indicates how many places each digit shifts on the place value chart.
Multiplication shifts digits to the left (increasing value), and division shifts digits to the right (decreasing value).
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Section 1
Extending Place Value to Thousandths
Dividing a place value unit by 10 results in the next smaller unit to its right. This pattern extends the place value chart to include decimals such as tenths, hundredths, and thousandths.
Section 2
Bundling and Unbundling with Place Value Disks
Bundling is composing a larger unit from 10 smaller units (e.g., ), which corresponds to multiplication by 10. Unbundling is decomposing a larger unit into 10 smaller units (e.g., ), which corresponds to division by 10.
Section 3
Generalizing the Pattern: Shifting Digits by Powers of 10
When multiplying or dividing by a power of 10, 100 and 1,000, the number of zeros in the power of 10 indicates how many places each digit shifts on the place value chart.
Multiplication shifts digits to the left (increasing value), and division shifts digits to the right (decreasing value).
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter