Chapter 1
Number and Quantity
Course: Core Academic Skills For Educators Combined Test 5752
Subject: Core Academic Skills Educators Mathematics 5733
Chapter: Algebra
Mathematics is built on the basic operations of addition, subtraction, multiplication, and division. These operations follow certain patterns or rules that always hold true, regardless of which numbers are being used. These rules, known as properties, allow us to rearrange, regroup, and simplify numbers when performing calculations. Understanding them is important for both arithmetic and algebra, since they are used when solving equations, factoring expressions, and performing mental calculations.
Even if the formal names of these properties are not remembered, recognizing how they work allows a person to see that rearranging or regrouping numbers can make problems easier to solve without changing the result.
Property of changing order (commutative idea)
For addition and multiplication, the order of numbers does not affect the result.
Examples: