Distributive Property of Multiplication
Written by Adi Ackerman, Head Teacher
"Distributive Property of Multiplication" is written for 3rd Grade (Ages 8-9), and it covers Common Core 3.OA.B.5. If your little one is a year younger but already steady on multiplication, the page still works. You may just need to read the instructions out loud. And if they are older and multiplication strategies never quite stuck, this is a short review rather than busywork.


3rd grade math worksheet: break a factor into two parts, multiply each part and add (distributive property). Answer key included. Part of our multiplication strategies collection. Aligned to Common Core standards.
How do I use this worksheet?
Draw the array or the groups with your child before writing the equation. When a fact is hard, try the distributive property: split one factor into two easier parts, multiply each and add.
What students will practice
- Students will use arrays, equal groups and skip counting to find products.
- Students will apply the commutative and distributive properties.
- Students will use the zero and one properties of multiplication.
Curriculum Links
Common Core State Standards
Operations and Algebraic Thinking · 3rd Grade
Standard: Apply properties of operations as strategies to multiply and divide.
View all 3.OA.B.5 worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this multiplication strategies worksheet?
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Draw the array or the groups with your child before writing the equation. When a fact is hard, try the distributive property: split one factor into two easier parts, multiply each and add.
What does this worksheet teach?
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Break a factor into two parts, multiply each part and add (distributive property). The distributive property lets you break one factor into two parts, multiply each part, then add the products. Problems on the page include 6 × 9, 8 × 6 and 6 × 7. The directions on the page read: Read the example. Then, fill in the missing part, multiply each part and add. The page opens with a worked example, and the answer key shows every answer.
Can I use this multiplication strategies worksheet for homeschool or classroom?
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Yes, both. We made it for 3rd Grade multiplication, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with multiplication strategies. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
What multiplication strategies do 3rd graders learn?
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They use arrays, equal groups and skip counting to see what multiplication means, then use properties of operations to work out facts they do not know yet.
What is the commutative property of multiplication?
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It says the order of the factors does not change the product, so 3 × 5 = 5 × 3. Knowing this cuts the number of facts a student must learn almost in half.
How does the distributive property help with hard facts?
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To find 3 × 8, break 8 into 5 + 3, find 3 × 5 = 15 and 3 × 3 = 9, then add to get 24. The sheet gives boxes for each part.
Which standards do these sheets support?
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They support 3.OA.A.1 (interpret products as groups of objects) and 3.OA.B.5 (use properties of operations as strategies to multiply).
When should third graders know their multiplication tables?
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By the end of third grade, students should know all multiplication facts for single-digit numbers from memory (CCSS 3.OA.C.7). Most curricula introduce multiplication early in third grade, building from repeated addition, arrays, and equal groups before moving to memorization.
What is the best order to teach multiplication facts?
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Start with 2s, 5s, and 10s (patterns make them easier), then 0s and 1s (identity properties). Next teach 3s and 4s, followed by 6s, 7s, 8s, and 9s. By this point, students already know many facts from the commutative property. Multiplication worksheets organized by factor help target specific fact families.
How can I help my third grader memorize multiplication facts?
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Combine understanding with practice. First ensure your child understands multiplication as groups of (3x4 = 3 groups of 4). Then use skip counting, arrays, and worksheets for repeated practice. Short daily sessions of 5-10 minutes are more effective than occasional long sessions.
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Worksheet Details
| Grade | 3rd Grade |
| Subject | Math |
| Topic | Multiplication |
| Standard | 3.OA.B.5 |
| Pages | 1 page |
| Difficulty | Medium |
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