Understanding Numbers

Numbers come in all shapes and sizes: whole numbers, integers, fractions, and decimals. Mastering their properties helps you solve all kinds of math problems!

Types of Numbers

• Whole Numbers: 0, 1, 2, 3, ...
• Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
• Rational Numbers: Numbers that can be written as fractions.
• Irrational Numbers: Numbers that cannot be written as fractions, like \( \sqrt{2} \) or \( \pi \).

Key Properties

• Commutative Property: \( a + b = b + a \), \( a \times b = b \times a \)
• Associative Property: \( (a + b) + c = a + (b + c) \)
• Distributive Property: \( a(b + c) = ab + ac \)

Why Do These Matter?

Knowing how numbers behave lets you break down tough problems and solve them step by step.

Real-World Connection

Whether you're budgeting your allowance or splitting a pizza, number properties are everywhere!