The identity property of multiplication asserts the existence of an element, denoted by 1, such that for every element x in a set (of integers, rationals, reals or complex numbers), 1*x = x*1 = x
The identity property of addition asserts the existence of an element, denoted by 0, such that for every element y in a set (of integers, rationals, reals or complex numbers), 0+y = y+0 = y
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meaning of identity property of multiplication
Identity property of multiplication
The, "Identity Property Of Multiplication," is a number multiplied by one, produces the original number. Example: 51x1=51 : Identity Property Of Multiplication
The concept of an identity property in arithmetic is of a process that does not alter the identity of a number, so with respect to addition, the number zero has the identity property; you can add zero to a number and that number does not change. With multiplication, the number one has the identity property; you can multiply anything by one, and it doesn't change.
The distributive property of multiplication over addition and the identity property of multiplication. RS + RS = 1*RS + 1*RS (using identity property) = (1 + 1)*RS (using distributive property) = 2*RS