# Distributive Property of Multiplication

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Distributive Property of Multiplication
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Multiplication and the Distributive Property
Exercise
Multiplication and the Distributive Property
As students grow more comfortable with the order of operations, they’ll need this exercise to introduce them to working with one digit distributive properties.
Math
Exercise
Properties of Multiplication: Distributive
Worksheet
Properties of Multiplication: Distributive
Give your third grader some extra practice with one of the key properties of multiplication: distributive property.
Math
Worksheet
Multiplication and Division
Guided Lesson
Multiplication and Division
There are many strategies that can be employed to multiply and divide larger numbers. Students will deepen their conceptual knowledge of multiplication and division, starting with visual models like arrays and diagrams.Then students will then move to more abstract calculation methods like partial products, the distributive property and standard algorithms.
Math
Guided Lesson
Multiplication 2
Guided Lesson
Multiplication 2
This guided lesson builds upon third graders' understanding of multiplication in order to further develop fluency with this operation. The lesson first reinforces the various strategies for doing multiplication (for example, repeated addition), then teaches kids to apply those strategies within practical exercises. Designed by our team of teachers and curriculum experts, the goal is to provide numerous ways to conceptualize multiplication problems.
Math
Guided Lesson
Fourth Grade Fall Review Packet - Week 1
Workbook
Fourth Grade Fall Review Packet - Week 1
Help children prepare for their fourth grade debut with Week 1 of our Fourth Grade Fall Review Packet.
Workbook
Distributive Property of Multiplication
Exercise
Distributive Property of Multiplication
Help fourth graders solidify their knowledge of multiplication by teaching them the distributive property and how it can aid them in solving problems.
Math
Exercise
Distributive Property
Lesson Plan
Distributive Property
Teach your students to recognize and use the distributive property of multiplication.
Math
Lesson Plan
Break it Up: Distributive Property 1
Worksheet
Break it Up: Distributive Property 1
The distributive property is a great tool to help with mental math and simplifying larger multiplication problems. Use this scaffolded resource with your students as an introduction to the distributive property.
Math
Worksheet
Distributive Property Words Problems
Worksheet
Distributive Property Words Problems
Your students are on their way to mastering large number multiplication, so now it's time to step it up a notch! Challenge your students with this resource that requires them to solve multiplication word problems using the distributive property.
Math
Worksheet
Justifying the Distributive Property
Lesson Plan
Justifying the Distributive Property
Let's talk about the distributive property! Give students a chance to explain their thinking of how and why this property of multiplication works. This lesson may be taught as a standalone or as support to the lesson Distributive Property.
Math
Lesson Plan
Distribute to Multiply
Lesson Plan
Distribute to Multiply
Introduce your students to the Distributive Property of Multiplication with this lesson that allows them to learn with their peers and then get some individual practice in.
Math
Lesson Plan
Multiplication and the Distributive Property
Worksheet
Multiplication and the Distributive Property
This worksheet helps third graders practice their understanding of the distributive property of multiplication.
Math
Worksheet
Distributive Property of Multiplication
Worksheet
Distributive Property of Multiplication
In this worksheet, children learn what the distributive property is, and how to use it to solve multiplication problems.
Math
Worksheet
Multiplication Strategy
Worksheet
Multiplication Strategy
Need a helpful strategy for multiplication? Try this "break down" strategy to split up the higher tables into more manageable equations.
Math
Worksheet
Break it Up: Distributive Property 3
Worksheet
Break it Up: Distributive Property 3
Give your students practice using the distributive property with this math resource! This worksheet will help your students gain a stronger foundational understanding of multiplication and increase their confidence in solving problems with big numbers.
Math
Worksheet
Break it Up: Distributive Property 2
Worksheet
Break it Up: Distributive Property 2
Support your students as they use the distributive property to help with mental math and simplifying larger multiplication problems. Use this resource with your young mathematicians as they gain proficiency with the distributive property.
Math
Worksheet
Distributive Property Drawings
Worksheet
Distributive Property Drawings
This great resource will help your students see the visual side of multiplication! With this exercise, your young mathematicians will draw area models and use the distributive property to solve tough multiplication problems.
Math
Worksheet
Making 10
Worksheet
Making 10
Introduce your child to associative and commutative properties of multiplication and addition with this worksheet.
Math
Worksheet
Hard Times Tables
Worksheet
Hard Times Tables
Work through the tougher times tables by using a simple strategy! Break down each equation into two smaller equations to help you out.
Math
Worksheet
Vocabulary Cards: Justifying the Distributive Property
Worksheet
Vocabulary Cards: Justifying the Distributive Property
Use these vocabulary cards with the EL Support Lesson: Justifying the Distributive Property.
Math
Worksheet
Glossary: Justifying the Distributive Property
Worksheet
Glossary: Justifying the Distributive Property
Use this glossary with the EL Support Lesson: Justifying the Distributive Property.
Math
Worksheet

### Distributive Property of Multiplication

The distributive property is an important mathematical property that students begin learning during early algebra. This property shows students that the complicated task of multiplying a number by a group of numbers added together can be simplified down to doing each multiplication separately. Use the resources on this page to gain a better understanding of the distributive property and help your child become an expert.

The distributive property is just a fancy name for multiplication with parentheses. Let’s start with a more simple example:

6 × (3 + 4)

Following the order of operations, we would start by adding the two numbers inside the parenthesis before multiplying that product by 6:

6 × (7) = 42

The distributive property states that we can solve this problem a different way since we have a single term being multiplied by a group of two or more terms added together. Looking at the same example from before, the distributive property says that we can remove the parentheses from our problem by multiplying each term on the inside by the term on the outside:

6 × (3 + 4) → 6 × 3 + 6 × 4

If we then follow our order of operations and perform the multiplication first and then the addition, we get the following:

18 + 24 = 42

This answer is the same as the one we found before, but it was achieved using a different method. This property becomes even more helpful in higher level algebra with the introduction of variables. Let’s look at a different example:

2 × (3x + 5)

In this problem, we can’t follow our order of operations because 3x and 5 do not add. Therefore, we have to use our distributive property to simplify the expression:

2 × (3x + 5) → 2 × 3x + 2 × 5 = 6x + 10

The distributive property is an important algebraic property for students to learn since it is so widely used in upper level math. Education.com’s many resources on the subject will have your student mastering the concept of distributive property in no time!