Number Properties
Even, odd, and perfect squares
lessons (3)
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.
Modular Arithmetic
Learn clock arithmetic: remainders, a mod n, congruence modulo n, and how to use them for calendars, check digits and the last digit of huge powers.
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 Students Will 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).