In Grade 5 enVision Mathematics, Lesson 3-3 teaches students how to multiply multi-digit whole numbers by a 1-digit number using partial products and the standard algorithm. Students learn to apply place-value strategies, including regrouping across ones, tens, and hundreds, to solve problems with 2-, 3-, and 4-digit factors. This lesson is part of Chapter 3, which focuses on building fluency with multi-digit multiplication.
Section 1
Calculating Products Using the Partial Products Algorithm
The partial products algorithm uses the distributive property to solve multiplication.
A multi-digit number is broken into the sum of its place values (expanded form), and each part is multiplied separately before adding the results.
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
Calculating Products Using the Partial Products Algorithm
The partial products algorithm uses the distributive property to solve multiplication.
A multi-digit number is broken into the sum of its place values (expanded form), and each part is multiplied separately before adding the results.
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