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Basic Number Properties:

,

, and
The word "

" comes from "associate" or "group";the

Property is the rule that refers to grouping.
For

, the rule is "

"; in numbers, this means

.
For

, the rule is "

"; in numbers, this means

.
The word "

" comes from "commute" or "move around", so the

Property is the one that refers to moving stuff around.
For addition, the rule is "

"; in numbers, this means

.
For multiplication, the rule is "

"; in numbers, this means

.
The

Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as

. In numbers, this means, that

.
1.

.........here you have the

Property-the rule for multiplication
2.

.....the

Property- the rule for
3. If

then

...the

Property-the rule for multiplication