These activity sheets give your students a review of the commutative, associative, and distributive properties.

The commutative property of addition and multiplication shows us that numbers can easily be swapped within operations of an equation. Commutative Property - With respect to addition - the sum of two added numbers remain same. No matter, in which order you have added the numbers. For example. 3 + 5 = 8 or 5 + 3 = 8. With respect to multiplication - The multiplied answer will be the same after multiplying two numbers together. The order will also be same in which you multiplied the numbers. For example; 3 × 5 = 15 or 5 × 3 = 15. When we see problems like this we know for sure that the order of the integers does not matter. The associative property tells us that how we group numbers within an equation does not matter, if the operations are the same. Associative Property - With respect to addition - The sum of the three or more added numbers will be the same. No matter, in what ways you have grouped the numbers. For example; 6 + (4 + 3) = 13 or (6 + 4) + 3 = 13. With respect to multiplication - The product will remain same when you multiply three or more numbers together. No matter, in what ways you have made a group of multiplied numbers. For example; 6 × (4 × 3) = 72 or (6 × 4) × 3 = 72. The distributive property is the most used property in math. Distributive Property - The third number after two times additions will be equal to the sum of the number of times you have added the third number. For example; 5 × (7 + 2) = 45 or 5 × 7 + 5 × 2 = 4. It lets us multiply a sum by multiplying each addend by itself and then we finish off by adding the products.

These worksheets review the commutative, associative, and distributive properties, and identify the correct property for given expressions. While these are defined, students should have some prior knowledge.

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Commutative, Associative, and Distributive Properties Worksheets

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Commutative, Associative, and Distributive Properties Lesson

This worksheet explains how to identify the correct property for given expressions. A sample problem is solved, and two practice problems are provided.

Worksheet

This is a fill in the blank activity that covers just about everything. Ten problems are provided.

Practice

Students will practice determining the number properties that are present in expressions. Ten problems are provided.

Review and Practice

The concept of how to identify operation properties that exist is reviewed. A sample problem is solved. Six practice problems are provided.

Quiz

Students will demonstrate their proficiency with these skills. Ten problems are provided.

Check

This can be used with you entire group of students as a whole. Three problems are provided, and space is included for students to copy the correct answer when given.

Identifying Properties Lesson

This worksheet explains how to identify the commutative, associative, and distributive properties. A sample problem is solved.

Lesson and Practice

Students will identify the commutative, associative, and distributive properties that exist in a series of computations. A sample problem is solved and two practice problems are provided.

Worksheet

You will examine a series of expressions and identify the presence of either the commutative, associative, or distributive property. Ten problems are provided.

Practice

You will get more experience learning which properties apply to different series of operations. Ten problems are provided.

Drill

We work through all of these concepts in a series of light exercises. Eight problems are provided.

Warm Up

Take your time to identify what is present in each of these expressions or equations. Three problems are provided.

Lesson

This worksheet explains how to rewrite an equation using the commutative property. A sample problem is solved, and two practice problems are provided.

Commutative Property Worksheet

Students will rewrite equations using their knowledge of these applications. Ten problems are provided.

Practice

You get more experience rewriting equations. Ten problems are provided.

Review and Practice

The concept that is explored in this unit goes to the next level. A sample problem is solved. Six practice problems are provided.

Quiz

Students will demonstrate their proficiency with rewriting equations. Ten problems are provided.

Check

We get an idea of where you stand with this skill in this section. Three problems are provided, and space is included for students to copy the correct answer when given.