For any number x,
0 + x = x + 0 = x
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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.
it goes like this addition is when you add two numbers to get the sum
Identity Property of Addition
The, "Identity Property Of Multiplication," is a number multiplied by one, produces the original number. Example: 51x1=51 : Identity Property Of Multiplication
The Identity Property of Addition.