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Commutative Property of Multiplication Worksheet, Fact Families Included

Flip the factors, keep the product: this commutative property of multiplication worksheet walks your student through exactly why 3 × 4 and 4 × 3 land on the same answer.

The sheet opens with a definition box that states the commutative property in plain language alongside the rule a × b = b × a and a worked example using 3 × 4 and 4 × 3. Section one asks students to complete paired number sentences for four factor pairs (2 × 7, 3 × 8, 5 × 6, and 4 × 9), while section two shifts to fill-in-the-blank product boxes using the same factor pairs in a different arrangement. This commutative property of multiplication worksheet is well matched to grades 3 and 4, when students are building fluency with multiplication facts and beginning to understand why the order of factors does not change the product.

Section three asks your student to write two complete fact families from scratch, each made up of four number sentences, which pushes the concept past recognition into application. The progression from guided sentence completion to open-ended fact family writing makes it easy to use the first two sections independently and save section three for a short discussion or check-in. Together, the three sections build both recall speed and conceptual understanding of how multiplication pairs relate.

Reinforce order-of-factors fluency with this commutative property of multiplication worksheet, suited for grades 3 and 4. Instant download.
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Getting Started with a Commutative Property of Multiplication Worksheet

Usage Notes

A pencil is the right tool here because students will be writing products and constructing number sentences they may want to revise. Sections one and two work well for independent practice once your homeschooler understands the concept, while section three benefits from a brief guided walkthrough the first time through.

Printing Tips

Standard 20-pound copy paper is fine for sections one and two, but if your student tends to write large, 24-pound paper gives a little more surface comfort for the fact family lines in section three. Portrait orientation is the correct setting.