The following activity sheets will teach your students about the different number properties for formulas.

There are generally five properties that apply to all integers. You must know all of them to solve the problems of advanced math like algebra and calculus. Let's learn about each property. The distributive property is used when you run into parenthesis. It tells us to always attack the parenthesis first. 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 = 45. We also run into the associative property which applies to both addition and multiplication. This basically tells us that if we are multiplying or adding numbers it does not matter how we group the operation because the final value will always be 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 the 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 Commutative property of addition and multiplication tells us that we can swap numbers when they are undergoing addition or multiplication on both sides. Commutative Property - With respect to addition - the sum of two added numbers remains the 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 the same in which you multiplied the numbers. For example; 3 × 5 = 15 or 5 × 3 = 15. Identity Property - With respect to addition - The of added numbers will be zero. For example; 12 + 0 = 12 You will multiply the given number with one and the get the answer that is 18 × 1 = 18. These worksheets explain commutative, associative, and distributive number properties used to identify formulas and equations. Students will be asked to label given examples.

Get Free Worksheets In Your Inbox!


Integer Properties of Numbers Worksheets

Click the buttons to print each worksheet and answer key.

Properties of Numbers Lesson and Practice

Students will learn about commutative, associative, and distributive number properties. A sample problem is solved and two practice problems are provided.

Worksheet

Write the name the number property used in each of the formulas or equations. Ten problems are provided.

Practice

Students will label the formulas or equations as type of property of numbers that is exhibited. Ten problems are provided.

Review and Practice

An example is provided. Write the name the number property used (4 x 7) x 3 = 4 x ( 7 x 3). Identify the property in the equation. This is in the same form as (a x b) x c=a x (b x c). Therefore, this is associative property.

Quiz

Students demonstrate their proficiency recognizing the use of various properties (such as: commutative, associative, or distributive) in a selection of formulas or equations. Ten problems are provided.

Skills Check

Great to be used as method for reviewing or introducing the topic.

Number Properties Lesson

This worksheet explains the anatomy of how to identify the number properties in a given equation. A sample problem is solved.

Lesson and Practice

This series of questions will have students breakdown the make up of problems and name what they see.

Worksheet

This will help you practice this skill at a high level. Ten problems are provided.

Number Properties Practice

Students will determine and label the property that is exhibited in each equation. Ten problems are provided.

Skill Drill

Students will practice this skill some more. Eight problems are provided.

Warm Up

Students demonstrate the skill of recognizing the properties of equations in a series of exercises. Three problems are provided.