Number Properties
Even, odd, and perfect squares
Start with the basics and progress through 2 lessons. Each lesson builds on the previous one.
0 of 2 lessons done
Test Your Knowledge
10 questions, new mix each time (from 33)
In This Topic (2 lessons)
Even and Odd Numbers
Learn to identify even and odd numbers and discover the patterns they create.
Perfect Squares and Square Numbers
Learn what perfect squares are and how to identify them by understanding the relationship between squares and square roots.
Number properties form the foundation of arithmetic and algebra. Commutative, associative, distributive, identity, and inverse properties govern how numbers interact and enable simplification and problem-solving strategies.
What You'll Learn
- Identify and apply the commutative property
- Identify and apply the associative property
- Apply the distributive property
- Understand identity and inverse properties
- Use properties to simplify expressions
Frequently Asked Questions
What is the commutative property?
Order does not matter for addition or multiplication: a + b = b + a and a × b = b × a.
What is the distributive property?
Multiplication distributes over addition: a(b + c) = ab + ac. This is key for expanding and factoring.
What are identity elements?
The additive identity is 0 (a + 0 = a). The multiplicative identity is 1 (a × 1 = a).