It is not a property. It is the binary operation called multiplication.
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Identity property of multiplication.
Multiplication
when you are only adding or multiplying.
The associative property of math refers to grouping. This property states that you can group numbers (move the parenthesis) anyway and the result will remain the same.
The identity property of math states that any number and that number remains the original number. For example: 5 x 1 = 5 or 5 + 0 = 5