Section 1
Applying the Distributive Property
Property
The distributive property allows you to multiply a number by a sum or difference by multiplying each part of the sum or difference separately and then adding or subtracting the products.
In this Grade 5 Eureka Math lesson from Chapter 8, students learn to convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. Using the commutative property and decomposition, students practice breaking apart factors — such as rewriting 8 × 31 as 30 eights plus 1 eight — to simplify calculations mentally. The lesson builds fluency with estimating products and applying the distributive property across two- and three-digit multiplication problems.
Section 1
Applying the Distributive Property
The distributive property allows you to multiply a number by a sum or difference by multiplying each part of the sum or difference separately and then adding or subtracting the products.
Expand to review the lesson summary and core properties.
Section 1
Applying the Distributive Property
The distributive property allows you to multiply a number by a sum or difference by multiplying each part of the sum or difference separately and then adding or subtracting the products.