Free Printable Associative Property of Multiplication Worksheets for Grade 3

Start with equal groups students can regroup physically. For example, show that 2 groups of 3 groups of 4 objects can be calculated as (2 × 3) × 4 or 2 × (3 × 4), with 24 objects either way. Keep the factors in the same order so students focus on grouping rather than confusing this property with the commutative property.

Use missing-parentheses problems, matched equivalent expressions, and calculations in which students choose the easier grouping. A problem such as 5 × (2 × 6) encourages students to regroup as (5 × 2) × 6 and use the familiar product 10 × 6.

Third graders often change the order of the factors instead of changing only the grouping, or assume the property also works for subtraction and division. Ask students to circle the grouped factors and verify both expressions numerically.

Host the worksheet as a digital quiz on Wayground or assign its printable PDF on paper. Every worksheet includes a complete answer key, and teachers can scan paper submissions with the Wayground for Teachers app for grading.

Common Core introduces multiplication properties as tools for understanding and solving multiplication problems in Grade 3. Students build from interpreting equal groups and arrays toward regrouping three factors to make easier facts, such as pairing 2 and 5 before multiplying by another factor.

For students who need less visual or reading load, create a version with larger text or wider spacing and reduce the answer choices in a digital session. Students ready for enrichment can explain which grouping makes a calculation easier and why.

The associative property is typically introduced in Grade 3, after students understand multiplication as equal groups. At this stage, they use concrete examples and basic facts to see that regrouping factors does not change the product.