free printable worksheets distributive property multiplication

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Distributive property of multiplication

Multiplication in parts worksheets.

Students explicitly rewrite and answer multiplication equations using the distributive property.  Multiplicands up to 30.

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Multiplication Properties Worksheets

The printable multiplication properties worksheets in this page contain commutative and associative property of multiplication; distributive property; identifying equivalent statement; multiplicative inverse and identity; and more. The pdf worksheets cater to the learning requirements of children in grade 3 through grade 6. Some of these worksheets are absolutely free of cost.

Basic Multiplication Properties

Commutative Property of Multiplication

Identify the correct choice from the list of multiplication properties.

Commutative Property 1

Commutative Property 2

• Download All

Associative Property of Multiplication

Associative Property: a * (b * c) = (a * b) * c

Find out which of the following choices describes associative property of multiplication.

Associative Property 1

Associative Property 2

Distributive Property Worksheets

Identify the Equivalent Statement

You have 4 choices with 3 distractors in each question. Identify the correct equivalent statement.

Equivalent Statement 1

Equivalent Statement 2

Distributing Numbers

Apply distributive principle of multiplication to rewrite the multiplication sentence.

Distributive Property Worksheet 1

Distributive Property Worksheet 2

Solve using Distributive Property

Use distributive property to solve the multiplication problems in these printable worksheets for 3rd grade and 4th grade kids.

Solving Worksheet 1

Solving Worksheet 2

Multiplication Properties: Special Focus

Missing Number

Use commutative and associative property of multiplication to find the missing number in these grade 4 and grade 5 exercises.

Missing Number 1

Missing Number 2

Use multiplicative identity and multiplicative inverse to find the missing number.

Identity or Inverse: Easy

Identity or Inverse: Moderate

Multiplicative Inverse

Multiplicative inverse of a is 1/a; a/b is b/a and vice versa. 5th grade and 6th grade children need to identify the multiplication inverse for each problem.

Multiplicative Inverse: Easy

Multiplicative Inverse: Moderate

Multiplicative Inverse: Difficult

Identifying the Property

Multiplication properties worksheet pdfs include multiplication equation in each question. Identify what property is used in each question.

Multiplication Property Worksheet 1

Multiplication Property Worksheet 2

Properties Worksheets: Mixed Review

It includes both addition and multiplication properties in each worksheet.

Properties Worksheets

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Distributive Property Worksheets

The sums given on the below free and printable worksheets test you on your knowledge of distribute property as you perform basic mathematical operations like multiplication and addition.

• Combining Like Terms and Distributive Property Worksheets

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The Distributive Property of Multiplication Worksheets

Multiplication has so many unique qualities that makes it one of the most helpful operations of math. In many situations you will find parathesis used in equations. Using the distributive property we can simplify these products to make them work with other operations that may exist within the equation or inequality. In some cases, students will feel that this differs from the order of operations that they have previously learned. They are correct in that it does differ from PEMDAS, but the result of the product is the equivalent. This lesson and worksheet series helps students understand the proper application of the distributive property of multiplication.

Aligned Standard: Grade 4 Operations - 4.OA.1

• Skating Step-by-Step Lesson - The skater indicates a gliding series of steps.
• Guided Lesson - John's big bag broke. Get all of his baseballs into 2 smaller bags.
• Guided Lesson Explanation - You can also help students learn to scale with this material.
• Multiple Choice 1 - You are given a series of 4 problems. Which one displays the distributive property?
• Rewriting Equations 1 - We give you an equation and ask you to rewrite it using the property.
• Practice Worksheet 1 - We work on filling in the missing numbers.
• Distributive Property Five Worksheet Pack - This has a whole bunch of practice.
• Answer Keys - These are for all the unlocked materials above.

Practice Writing Full Equations Sheets

• Rewriting Equations 2 - Rewrite the equation using the distributive property of multiplication. Solve the equation.
• Rewriting Equations 3 - More practice for you on this topic.
• Rewriting Equations 4 - This will get you on a good pace.

Pick the Correct Form

• Multiple Choice 2 - Which equation below represents the distributive property of multiplication?
• Multiple Choice 3 - Complete each problem displaying the distributive property of multiplication.

Fill in the Missing Numbers

• Practice 2 - Complete the missing parts of the equations.
• Practice 3 - We step up the values a bit here for you.

What is the Distributive Property of Multiplication?

Each mathematical operation in itself is magical. Having said that, multiplication is both fun and challenging. Having four properties, it is the only mathematical operation that entails four comprehensive properties (commutative, associative, multiplicative identity property, and distributive) to make the operation easy for large and complex equations. Though all the properties of this mathematical operation have their own importance, one in particular, the distributive property is the most useful property of the bunch. It allows you carry out multiplication easily and quickly and helps you rearrange all types of equation to help you organize all different forms of algebraic equations.

According to this property, when a number is multiplied with the sum or difference of two other numbers, it gives out the same result. This means that when the first number is distributed to both of those number, multiplied by each of them and then added or subtracted. The formula states:

a(b + c) = ab + ac

This really gives meaning to the use of parentheses and brackets in all types of different equations. Note that this movement from bracket to without does not interact or change the addition or subtraction portion of the equation.

To make it easier for you to understand, consider this example: 5 (5 - 2) = x

We can extend that product of five to each factor found within the parathesis. Based on what we know now, we can rewrite this as: 5(5) - 5(2) = x. We can carryout the math further to: 25 – 10 = 15.

In the above example, both the equations [5 (5 - 2) or 5(5) - 5(2)] yield the same results, which is 15. The property proves to be true and therefore justifies its claim. As you advance through higher levels of math this will come in very handy to help you plow through all types of algebra.

The Importance and Uses of the Distributive Property of Multiplication

This simple property can be a lifesaver in helping you organize your operations and in many cases, it can help you be a great deal more accurate with your solutions. You can use it to break down problems into much more digestible pieces. For example, if you presented with the problem 23 x 6. You can break this into two pieces and work off of the smaller value. We can rewrite this as 20 x 6 + 3 x 6. Based on this property it identical. You can then do your calculations mentally. Using this technique will help you make better decisions in everyday math routines. You can also use this to rearrange complex problems such as 4(24 – 7). Using this same mindset, this can be rewritten as: 4 x 24 – 4 x 7. You can also use this method to cheat, a bit, with values that end in zeros. For example, when tackling the problem: 400 x 320. You can ignore the ending zeros. Think of those ending zeros as place holders and remove them. That would allow us to restate this problem as 4 x 32 with three terminating zeros. 4 x 32 = 128. Now we just need to add those ending zeros: 128,000. That makes life a little simpler for you. When you discover this technique and master it, multiplication problems will not be that scary for you from here on.

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Distributive Property of Multiplication Worksheets

Distributive property of multiplication worksheets is an efficient means to promote the practice of solving complex multiplication problems with ease. Distributive property is a key multiplication property that helps in rewriting complex multiplication expressions in simpler form. Understanding this property enables students to perform complex multiplication operations with ease.

Benefits of Distributive Property of Multiplication Worksheets

Distributive property of multiplication worksheets is a handy tool to implement constant practice of applying distributive property of multiplication operation among the addends. These worksheets offer a wide range of problems based on applying the distributive property through interactive visuals of addition equations. The self-explanatory answer-keys attached to these worksheets provide a step-by-step understanding of solving large numbers multiplication.

Download Distributive Property of Multiplication Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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6th Grade Distributive Property

Welcome to our 6th Grade Distributive Property Worksheets.

Here you will find a range of algebra worksheets to help you learn how to use the distributive property to expand and factorize a range of expressions.

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Distributive Property Support

Evaluate the expression worksheets, expand the expression worksheets, factorize the expression worksheets.

• Distributive Property Mixed Worksheets
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6th Grade Distributive Property Online Quiz

This page is all about using the distributive property to expand and factorize a range of expressions.

We have split the worksheets up into 4 different sections:

• Evaluate the expression - work out the value of different algabraic expressions;
• Expand the expression - use the distributive property to multiply out the brackets;
• Factorize the expression - use the distributive property to factorize different expressions.
• Mixed questions involving all 3 of the above.

By splitting the algebra up into sections, you only need to concentrate on one aspect at a time!

Each question sheet comes with its own separate answer sheet.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

What is an algebraic expression?

An expression is a mathematical statement where variables and operations are combined.

• 2a + 5 is an expression involving the variable a
• 5(y 2 - 6) is another expression

How to Evaluate an Expression

When we are evaluating the value of an expression, we work out the value of the expression when we give a value to the variable.

• 2(p + 5) has a value of 22 when p = 6 because 2(6 + 5) = 2 x 11 = 22
• 3(12 - q) has a value of 21 when q = 5 because 3(12 - 5) = 3 x 7 = 21
• 8(n - 2) has a value of 64 when n = 10 because 8 (10 - 2) = 8 x 8 = 64
• 8(n - 2) has a value of 0 when n = 2 because 8 (0 ) = 8 x 0 = 0

How to Expand an Expression

When we are expanding an expression, we multiply out the factors.

• 2(p + 5) = 2 x p + 2 x 5 = 2p + 10
• 3(12 - q) = 3 x 12 - 3 x q = 36 - 3q
• 8(n - 2) = 8 x n - 8 x 2 = 8n - 16
• 5(y + 3z) = 5 x y + 5 x 3z = 5y + 15z

How to Factorize an Expression

When we are factorizing an expression, we try to find the greatest common factor of all the numbers and take it out as a factor.

• 3n + 15 = 3(n + 5) - greatest common factor of 3 and 15 is 3.
• 4p + 32 = 4(p + 8) - the greatest common factor of 4 and 32 is 8.
• 20 - 8y = 4(5 - 2y) - the greatest common factor of 20 and 8 is 4.
• 4a - 10b + 6c = 2(2a - 5b + 3c) - the greatest common factor of 4, 10 and 6 is 2.
• 35d + 42 = 7(5d + 6) - the greatest common factor of 35 and 42 is 7.

6th Grade Distributive Property Worksheets

These sheets involve working out the value of the expression using PEMDAS and order of operations.

The first sheets is a multiple choice sheet with only numbers in the expressions.

The second sheet involves finding the value of the expression with only numbers in the expression.

The third sheet involves finding the value of the expression with numbers and variables in the expression.

• Evaluate the Expression Sheet 6:1
• PDF version
• Evaluate the Expression Sheet 6:2
• Evaluate the Expression Sheet 6:3

Sheet 1 is a multiple choice sheet where you match the factorized expression with the correct expanded expression.

Sheet 2 involes writing the factorized expression as an expanded expression.

• Expand the Expression Sheet 6:1
• Expand the Expression Sheet 6:2

Expand the Expression Walkthrough Video

This short video walkthrough shows several problems from our Expand the Expression Worksheet 6:1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

Sheet 1 is a multiple choice sheet where you match the expression with the correct factorized expression.

Sheet 2 involes writing the expression as a factorized expression.

• Factorize the Expression Sheet 6:1
• Factorize the Expression Sheet 6:2

6th Grade Distributive Property Mixed Worksheets

These questions involve expanding, factorizing and evaluating different expressions..

They are a combination of questions from all the above categories.

• 6th Grade Distributive Property Sheet 6:1
• 6th Grade Distributive Property Sheet 6:2

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Interactive Equality Explorer

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• Interactive Equality Explorer by PhET

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Distributive Property Of Multiplication Worksheets

Created: February 14, 2024

Last updated: February 14, 2024

Free distributive property of multiplication worksheets are learning aids containing free instructions and guidelines on solving the distributive property of multiplication problems.

The distributive property of multiplication worksheets grade 3 are valuable because students can read them and learn how to generalize this procedure whenever necessary. This handiness, a core characteristic of the distributive property of multiplication over addition and subtraction worksheets, is a major reason why teachers adopt them more commonly today and why you should consider introducing your students to them.

Understanding Distributive Property of Multiplication Over Addition Worksheets 6th Grade

The average distributive property of multiplication worksheets PDF is structured with well-channeled exercises that take the learner through systematic steps. Their ease of use suggests that students won’t need the teacher guiding them for extended periods to enjoy the distributive property of multiplication worksheets grade 4. Interactive visuals and step-by-step lessons also help students learn how the distributive property of multiplication 5th grade worksheets work.

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The Benefits of Distributive Property of Multiplication Grade 3 Worksheets

• Encouraging Efficient Practice: With this distributive property of multiplication worksheets third grade, students can constantly practice applying the important concept by reorganizing the factors involved in a third grade distributive property of multiplication worksheets problem and become adept at using that fact.
• Simplification of Complex Expressions: With the knowledge of free distributive property of multiplication worksheets 3rd grade, learners can break complicated expressions into simpler ones that can be easily worked out.

Wide Range of Problems: The distributive property of multiplication worksheets 3rd grade PDF offer different kinds of problems that need different types of skills, thereby making users’ problem-solving methods versatile.

As a seasoned educator with a Bachelor’s in Secondary Education and over three years of experience, I specialize in making mathematics accessible to students of all backgrounds through Brighterly. My expertise extends beyond teaching; I blog about innovative educational strategies and have a keen interest in child psychology and curriculum development. My approach is shaped by a belief in practical, real-life application of math, making learning both impactful and enjoyable.

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THREE, FREE Distributive Property Worksheets with a Winter Theme

Grab Three, FREE distributive property worksheets so children can practice creating and solving expressions like     a(b + c ) = (a * b) + (a * c).

We participate in a homeschool community that encourages memory work. My kiddos have worked hard on memorizing places on the map, latin endings, parts of speech, and concepts about science.

We also memorize the facts for the numbers 2 – 15, geometry formulas, and multiplication properties. My boys have gotten good at singing a song that helps them remember what the formula is, but of course, I want a little more.

I wanted my oldest to see it in action, and get in some practice solving multiplication problems using the distributive property.

So I created him three distributive property worksheets!

Prep – Work:

Guess what! Almost no prep- work is required for these sheets.

• First, print off the pages. You will need to print one page for each child, except for page five. Only one page is needed per two children.
• Next, gather up pencils, colored pencils, glue, and scissors!

Now you are ready to go!!

Distributive Property Worksheets

Write it out:.

First, we have a simple sheet where the children are asked to look at one expression, change it to another, and then solve.

To begin, they are given the expression (5 * 9) + (5 * 4). It is easy to see that five is a factor in both parentheses. So there is actually a better way to write this. 5 (9 + 4). Now that the expression is rewritten it is time to solve.

5 * 9 = 45 and 5 * 4 = 20.

45 + 20 = 65

Cut and Paste:

Next, we move to the second sheet. The children are looking for the two expressions that match and then gluing them under the answer.

You know I can’t leave this part out!! Modeling is extremely important to our right brain children and those that learn visually.

The final worksheet begins by providing the children an expression. After studying the expression and rewriting it, they move on to models.

Our sweet little ones will now cut out and color arrays that match each part of the expression.

Once the models are glued on, they write down how many squares are in each array.

Finally, they add the two arrays together and write down the answer.

I hope you and your children enjoy seeing the distributive property come to life!!!

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Distributive Property of Multiplication

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Free Printable Distributive Property of Multiplication Worksheets for 7th Grade

Distributive Property of Multiplication: Discover an extensive collection of free printable math worksheets for Grade 7 students, crafted by Quizizz to enhance their understanding and mastery of this essential mathematical concept.

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Explore printable Distributive Property of Multiplication worksheets for 7th Grade

Distributive Property of Multiplication worksheets for Grade 7 are essential tools for teachers looking to enhance their students' understanding of the fundamental concepts in Math. These worksheets focus on the critical skill of multiplication, specifically targeting the distributive property, which is one of the key properties of multiplication. By incorporating these worksheets into their lesson plans, teachers can provide Grade 7 students with ample opportunities to practice and master this crucial aspect of Math. The worksheets are designed to be engaging and challenging, ensuring that students remain motivated and interested in the subject matter. Furthermore, these Distributive Property of Multiplication worksheets for Grade 7 are an excellent resource for teachers to assess their students' progress and identify areas where additional support may be needed.

Quizizz is a fantastic platform for teachers to access a wide variety of educational resources, including Distributive Property of Multiplication worksheets for Grade 7. This platform offers an extensive collection of worksheets, quizzes, and other interactive activities that cater to different learning styles and preferences. Teachers can easily integrate Quizizz into their lesson plans, providing students with a fun and engaging way to practice and reinforce their understanding of the properties of multiplication. In addition to the Distributive Property of Multiplication worksheets for Grade 7, Quizizz also offers resources covering other essential Math topics, ensuring that teachers have a comprehensive selection of materials to support their students' learning. By utilizing Quizizz, teachers can create a dynamic and interactive learning environment that promotes the development of critical Math skills in their Grade 7 students.