In this Grade 5 Eureka Math lesson from Chapter 8, students learn to connect area models and tape diagrams to partial products of the standard multiplication algorithm without renaming. Using the distributive property, students break multi-digit factors into expanded form to see how each partial product contributes to the final answer. The lesson builds on prior knowledge of area, unit form mental math, and place value to bridge visual representations with the written standard algorithm.
Section 1
Using the Distributive Property for Partial Products
The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products.
When we decompose factors by place value, the results of these smaller multiplications are called partial products.
Expand to review the lesson summary and core properties.
Section 1
Using the Distributive Property for Partial Products
The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products.
When we decompose factors by place value, the results of these smaller multiplications are called partial products.