In this Grade 4 Eureka Math lesson from Chapter 11, students learn to multiply three- and four-digit numbers by a single-digit number using the standard algorithm, including regrouping across the ones, tens, and hundreds places. The lesson connects place value chart representations and partial products to the standard algorithm, helping students understand why each step works. Fluency practice covers expanded form, mental multiplication, and disk models to build the foundational skills needed for multi-digit multiplication.
Section 1
Relating Place Value Regrouping to the Standard Algorithm
Regrouping 10 units of a smaller place value into 1 unit of the next higher place value on a chart (e.g., ) is represented by the 'carried' digit in the standard algorithm.
The carried digit is the number of new groups formed.
Section 2
Applying the Standard Algorithm for Multiplication
The standard algorithm for multiplication is a procedure where you multiply numbers vertically.
You multiply the single-digit multiplier by each digit of the multi-digit number, starting from the ones place and moving left.
When the product in any place value is 10 or more, you regroup (or 'carry') the tens digit to the next place value column to the left.
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Section 1
Relating Place Value Regrouping to the Standard Algorithm
Regrouping 10 units of a smaller place value into 1 unit of the next higher place value on a chart (e.g., ) is represented by the 'carried' digit in the standard algorithm.
The carried digit is the number of new groups formed.
Section 2
Applying the Standard Algorithm for Multiplication
The standard algorithm for multiplication is a procedure where you multiply numbers vertically.
You multiply the single-digit multiplier by each digit of the multi-digit number, starting from the ones place and moving left.
When the product in any place value is 10 or more, you regroup (or 'carry') the tens digit to the next place value column to the left.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter