In Grade 3, students explore the powerful properties of multiplication that make arithmetic faster, flexible, and easier to reason about. The commutative property tells Grade 3 learners that the order of the two factors does not matter, so 4 x 5 and 5 x 4 both equal 20. The associative property lets students regroup three factors with parentheses, showing that (2 x 3) x 4 gives the same product as 2 x (3 x 4). The distributive property is one of the most useful Grade 3 strategies: it lets students break apart a harder fact into friendlier pieces, such as writing 6 x 7 as 6 x 5 plus 6 x 2, which becomes 30 + 12 = 42. The identity property of multiplication shows that any number times 1 stays the same, so 87 x 1 is simply 87. The zero property reminds Grade 3 students that any number multiplied by 0 is 0, no matter how large the other factor is. Together these properties, aligned with CCSS 3.OA.5, help Grade 3 students build fluency with facts, reason about arrays, and prepare for harder multiplication and division problems in later grades.
Worksheet Preview
Browse all 12 printable worksheets below — click any card to open the full page.
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
Properties of Multiplication
What's Included in This Download
What You'll Learn
These properties of multiplication worksheets help grade 3 students develop essential math skills through engaging activities.
How to Use These Worksheets
- Download & Print: Click the download button to get the PDF. Print on standard 8.5" x 11" paper.
- Start Simple: Begin with easier pages before moving to more challenging activities.
- Daily Practice: Dedicate 10-15 minutes each day for consistent learning.
- Use Manipulatives: Pair worksheets with physical objects like blocks or counters.
- Provide Encouragement: Celebrate progress and effort to build confidence.
- Check Progress: Use the included answer key to review work together.
Common Mistakes to Watch For
- Confusing the Grade 3 commutative property (order) with the associative property (grouping) when describing 4 x 5 = 5 x 4 versus (2 x 3) x 4 = 2 x (3 x 4).
- Forgetting in Grade 3 that the distributive property requires adding the two smaller products together after splitting, so 6 x 7 as 6 x 5 + 6 x 2 must be added to 42, not left as 30 and 12.
- Mixing up Grade 3 identity and zero properties and writing 5 x 0 = 5 or 5 x 1 = 0 instead of 5 x 0 = 0 and 5 x 1 = 5.
Frequently Asked Questions
What is the commutative property?
The commutative property of multiplication tells Grade 3 students that changing the order of two factors does not change the product, so 4 x 5 equals 5 x 4 and both equal 20.
How does the associative property help in Grade 3?
In Grade 3, the associative property lets students regroup three factors with parentheses. Since (2 x 3) x 4 equals 2 x (3 x 4), students can pick the easier pair to multiply first.
What is the distributive property of multiplication?
The distributive property in Grade 3 means you can split one factor into a sum and multiply each part. For example, 6 x 7 equals 6 x 5 + 6 x 2, which is 30 + 12 = 42.
What is the identity property of multiplication?
The identity property states that any Grade 3 number multiplied by 1 equals itself. So 9 x 1 = 9 and 256 x 1 = 256, because 1 is the multiplicative identity.
What is the zero property of multiplication?
The zero property tells Grade 3 students that any number times 0 equals 0. Whether the other factor is 5 or 500, multiplying it by 0 always gives a product of 0.
Are these worksheets really free?
Yes! All our worksheets are 100% free to download and print. There's no subscription, no hidden fees, and no registration required.
Can I use these in my classroom?
Absolutely! Teachers are welcome to print and use these worksheets in their classrooms. Make as many copies as needed for your students.