Commutative and Associative Properties
Learn how the commutative and associative properties help you swap and regroup numbers to make addition and multiplication easier. Let’s get started! 🚀

Video Lesson
Watch and learn the basics

Flashcards
Review key concepts visually
%20The%20Commutative%20Law.webp)
%20Commutative%20Law%20Example.webp)
%20The%20Associative%20Law.webp)
%20Associative%20Law%20Example.webp)
%20Combining%20Commutative%20and%20Associative%20Law.webp)
🛎️ What is the Commutative Property?
- The commutative property means you can swap the order of numbers
- It works for addition and multiplication, but not for subtraction or division
🛎️ Commutative Property: Examples
- In addition, changing the order gives the same total
- In multiplication, changing the order gives the same product
🛎️ What is the Associative Property?
- The associative property means you can change how numbers are grouped
- It works for addition and multiplication, but not for subtraction or division
🛎️ Associative Property: Examples
- In addition, regrouping numbers does not change the total
- In multiplication, regrouping numbers does not change the product
🛎️ Using Both Properties Together
- You can reorder and regroup numbers to make calculations easier
- This helps you with mental maths and simplifying expressions
Practice Questions
Test your understanding
Which of the following operations does the commutative law apply to?
Correct! 🎉 +10 pointsNot quite right
The commutative law applies to addition and multiplication. Division and subtraction do not follow this law.
Correct! 🎉 +10 pointsNot quite right
Using the commutative law, first add . Then add , making the calculation easier.
Correct! 🎉 +20 pointsNot quite right
Start by calculating . Then multiply .
Correct! 🎉 +20 pointsNot quite right
Start by adding . Then add .
Correct! 🎉 +20 pointsNot quite right
Adding the numbers step by step gives , and then .
Correct! 🎉 +30 pointsNot quite right
Using step-by-step multiplication: , then , and finally .
Want to see the full working?
Interactive Activity
Explore how numbers can move and group without changing the result
Loading interactive widget...
Click here to open ChatCat