These activity sheets give your students practice identifying the property associated with a given expression.

Real numbers are just about any number you can think of including whole, rational, and irrational numbers. The only values that are not real numbers are imaginary and infinity. The most common properties of real numbers are the associative, commutative, closure, and distributive properties. They can go through many different types of basic operations and still retain their identity as a real number. Commutative property - Addition: When you add two values, their sum will be the same no matter which order you place arrange the values in. Multiplication: when you multiply two integers, their product will be the same no matter which orders you find the product in. Associative property - Addition: When you add two numbers, their sum will be the same no matter which way you group the sums. Multiplication: When you multiply three or more units, their product will be the same no matter which way you group the integers. Distributive property - This says that the sum of two number times a third number will be equal to the sum of each addend times the third number. Identity property -Addition: the sum of zero and any number will be that number. Multiplication: the product of one and any number is that number.

These worksheets explain how to identify the property associated with a given expression. The worksheets also go over certain properties of real numbers, such as the commutative property of addition, relate to actual equations. Your students will use these worksheets to review identifying the property associated with a given expression. Note: students should already be familiar with the list of the properties of real numbers. We also cover the topics of: commutative property of multiplication, the additive identity property, the distributive property, and the multiplicative inverse property.

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Properties of Real Numbers Worksheets

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Properties of Real Numbers Lesson and Practice

Determine the given example of which property in this situation. Two elements are interchanging; a x b = b x a, this is the hint that we needed.


Students will learn how to determine the property of a given expression. Ten problems are provided.


What property is displayed over this series of problems.

Review and Practice

This worksheet will practice this skill by completing the problems. A sample problem is solved and six practice problems are provided.

Properties of Real Numbers Quiz

Students demonstrate their proficiency recognizing properties of numbers. Ten problems are provided.

Skill Check

Students will identify properties over a series of problems the use a wide variety of operations. Three problems are provided, and space is included for students to copy the correct answer when given.


Identify the property of real numbers that is demonstrated in the following equation: x + 4y = 4y + x

Worksheet 1

Practice identifying these properties for each of these 10 equations. Example: (4a) b = 4 (ab)2

Worksheet 2

Practice identifying properties of real numbers over the series of exercises that we show you here. Example: 8f + (-8f) = 0


Follow along with the steps given to identify the property of real numbers demonstrated in this equation: x + 8y = 8y + x

Skill Quiz

For each problem determine the property that is demonstrated, and then check your answers and record your total score below. Example: (x + 5) + (-x + -5) = 0.

Do Now Skill

A great worksheet for introduction or review. Complete the following problems, then put your answer in the "My Answer" box. Example: (4a) b = 4 (ab)