In this Grade 5 Eureka Math lesson from Chapter 6, students learn to divide decimals using place value understanding, decomposing units such as ones into tenths and tenths into hundredths when a remainder occurs at a given place value. Using place value charts and the standard algorithm, students work through problems like 1.7 ÷ 2 and 2.6 ÷ 4, expressing any remainder in the smallest unit needed to complete the division. The lesson builds on prior decimal division concepts and connects to real-world multi-step problems involving money.
Section 1
Decomposing Remainders in Decimal Division
When dividing decimals, a remainder in one place value can be decomposed (or unbundled) into ten of the next smaller place value unit to continue the division process. This is based on the relationships: 1 one = 10 tenths, 1 tenth = 10 hundredths, 1 hundredth = 10 thousandths, and so on.
Section 2
Connecting Place Value Models to the Standard Algorithm
The "bring down" step in the standard algorithm for division is the abstract representation of unbundling a remainder from one place value and combining it with the digits in the next smaller place value. Annexing a zero in the dividend is equivalent to unbundling a remainder into an empty, smaller place value (e.g., 1 tenth becomes 10 hundredths).
Expand to review the lesson summary and core properties.
Section 1
Decomposing Remainders in Decimal Division
When dividing decimals, a remainder in one place value can be decomposed (or unbundled) into ten of the next smaller place value unit to continue the division process. This is based on the relationships: 1 one = 10 tenths, 1 tenth = 10 hundredths, 1 hundredth = 10 thousandths, and so on.
Section 2
Connecting Place Value Models to the Standard Algorithm
The "bring down" step in the standard algorithm for division is the abstract representation of unbundling a remainder from one place value and combining it with the digits in the next smaller place value. Annexing a zero in the dividend is equivalent to unbundling a remainder into an empty, smaller place value (e.g., 1 tenth becomes 10 hundredths).