Distributive property

Written by Adi Ackerman, Head Teacher

"Distributive property" is written for 4th Grade (Ages 9-10), and it covers Common Core 4.NBT.B.5. If your little one is a year younger but already steady on mental multiplication, the page still works. You may just need to read the instructions out loud. And if they are older and distributive property never quite stuck, this is a short review rather than busywork.

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Distributive property
Distributive property

Free printable distributive property worksheet for 4th grade students. Part of our distributive property mental multiplication collection. Aligned to Common Core standards.

How do I use this worksheet?

Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, since students at this age benefit more from productive struggle than from being walked through each step, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These distributive property worksheets work well as daily practice, homework, or a focused review activity.

What students will practice

  • Students will recognize and apply distributive property concepts using written strategies and place-value reasoning.
  • Students will solve problems involving distributive property with increasing accuracy and confidence.
  • Students will connect distributive property skills to real-world situations and explain their reasoning clearly.


Curriculum Links

Common Core State Standards

Number and Operations in Base Ten · 4th Grade

4.NBT.B.5

Standard: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

View all 4.NBT.B.5 worksheets →

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FAQ

How do I use this distributive property worksheet?

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Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, since students at this age benefit more from productive struggle than from being walked through each step, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These distributive property worksheets work well as daily practice, homework, or a focused review activity.

What does this worksheet teach?

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These distributive property worksheets for 4th grade give students the structured, hands-on practice they need to build confidence and fluency. Students work through a range of problem formats, from visual models and diagrams to written equations and word problems, so they encounter distributive property from every angle. Each worksheet is designed to build on prior knowledge while introducing the level of challenge appropriate for 4th grade. Practicing distributive property at this stage strengthens the mathematical foundations that support more advanced concepts in later grades.

Can I use this distributive property worksheet for homeschool or classroom?

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Yes, both. We made it for 4th Grade mental 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 distributive property. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

How does the distributive property make mental multiplication more manageable?

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Breaking a large factor into tens and ones (or other parts) turns a hard product into two easier ones that can be added - for example, 7 × 13 = 7 × 10 + 7 × 3 = 70 + 21 = 91.

Why is the distributive property important beyond mental math?

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It is the conceptual foundation of the standard multi-digit multiplication algorithm - each partial product in the algorithm is a direct application of the distributive property.

How does the distributive property appear in algebra?

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It is the core rule for expanding expressions like a(b + c) = ab + ac - students who understand it with numbers in 4th grade have a major head start in algebra.

How many 4th Grade distributive property worksheets are there?

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1 printable worksheet, all free to preview. Downloads are included with a ClassWeekly free trial, and every page prints on standard 8.5 x 11 paper.

What age are distributive property worksheets for?

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These are written for 4th Grade students, roughly ages 9-10. Many teachers also use them a grade up for review or a grade down as an extension, so use the preview to judge the fit for a particular child.

Are these distributive property worksheets aligned to Common Core?

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Yes. Each one shows the Common Core code it covers on its own page, so you can check the alignment yourself rather than taking our word for it.

Can I use these distributive property worksheets for homeschool?

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Yes. Nothing here assumes a classroom of 25, so they work the same one-to-one at the kitchen table as they do in a 4th Grade classroom, a literacy centre, or a tutoring session.

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Worksheet Details

Grade4th Grade
SubjectMath
TopicMental Multiplication
Standard4.NBT.B.5
Pages1 page
DifficultyMedium

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