In this Grade 4 Eureka Math lesson from the Tenths and Hundredths chapter, students use fraction equivalence to express decimal numbers in different units on the place value chart, converting between ones, tenths, and hundredths. Using area models and place value disks, students explore how a number like 2.4 can be expressed as 24 tenths or 240 hundredths, reinforcing that 0.4 equals 0.40. Students also practice writing decimals and mixed numbers in expanded decimal and expanded fraction form.
Section 1
Conceptual Model: Relating Adjacent Place Value Units
Each place value unit is 10 times greater than the unit to its immediate right.
This creates a multiplicative relationship where one of a larger unit can be decomposed into ten of the next smaller unit.
Section 2
Decomposing Decimals into Smaller Units
To express a decimal number as a total number of a smaller unit, decompose each larger place value into the target unit and sum the results.
Section 3
Representing Decimals in Equivalent Fraction Forms
A decimal number can be expressed in various equivalent forms, such as a mixed number or an improper fraction, by relating it to tenths and hundredths. Adding a trailing zero to a decimal renames it in smaller units without changing its value.
Expand to review the lesson summary and core properties.
Section 1
Conceptual Model: Relating Adjacent Place Value Units
Each place value unit is 10 times greater than the unit to its immediate right.
This creates a multiplicative relationship where one of a larger unit can be decomposed into ten of the next smaller unit.
Section 2
Decomposing Decimals into Smaller Units
To express a decimal number as a total number of a smaller unit, decompose each larger place value into the target unit and sum the results.
Section 3
Representing Decimals in Equivalent Fraction Forms
A decimal number can be expressed in various equivalent forms, such as a mixed number or an improper fraction, by relating it to tenths and hundredths. Adding a trailing zero to a decimal renames it in smaller units without changing its value.