FTCE General Knowledge Math Practice Test

What are the rules that govern arithmetic operations on real numbers called?

1. Properties

2. Definitions

3. Theorems

4. Corollaries

The correct answer is: Properties

The correct answer, "Properties," refers to the fundamental rules that govern how arithmetic operations can be performed on real numbers. These include rules such as the commutative property, associative property, distributive property, and others, which describe how numbers behave under addition and multiplication. Properties are essential as they form the foundation for simplifying expressions and performing calculations accurately. The other terms—definitions, theorems, and corollaries—serve different purposes in mathematics. Definitions are used to explain concepts and establish a common understanding of terms. Theorems are statements that have been proven based on axioms and previously established statements, while corollaries are propositions that follow readily from a theorem. While all these elements are important within mathematics, they are not specifically the rules governing arithmetic operations on real numbers like the properties are.