The Associative Property of Addition and Multiplication is another fairly simple and straight forward property for developing number sense and understanding. The property simply states that in addition expressions and multiplication expressions, numbers can be grouped (or associate) differently without changing the value of the expression. What this means is: In the first expression (2…

The Commutative Property of Addition and Multiplication is a fairly simple and straight forward property for developing number sense and understanding. The property simply states that in addition expressions and multiplication expressions, numbers can travel (or commute) to either side of the operation symbol (the ‘+’ or the ‘x’). What this means is: Notice how…

One of the most basic properties to understand is that numbers are made by adding (or subtracting) separate numbers to (or from) one another. This is to say that a number can be constructed from two or more separate numbers AND numbers can be deconstructed from a singular number into two or more separate numbers.…