Chapter 1
Number & Quantity and Algebra
Course: Praxis Mathematics 5165
Subject: Praxis Study Companion Mathematics 5165
Chapter: Number Amp Quantity And Algebra Of Praxis Study Companion Mathematics 5165
Structure of the Real Number System and Basic Operations
The real number system includes rational and irrational numbers. You must understand how operations behave within this system and how properties support problem solving.
Solving Word Problems with Real Numbers
Real numbers are used to represent measurable quantities such as:
- Time
- Money
- Distance
- Temperature
- Weight
You must be able to:
- Translate real-world situations into mathematical expressions
- Apply addition, subtraction, multiplication, and division correctly
- Interpret results in context
Example: If someone earns $500 per week for 12 weeks: 500 × 12 = 6,000
Properties of Operations
You must determine whether operations satisfy these properties:
Commutative Property
Order does not change the result (addition and multiplication only).