One is the multiplicative identity or the identity of/for multiplication.
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When you multiply a number times 1, you can get the same number multiplicative identity. When you add a 0 to a number, you can get the same number additive identity.
identity
In multiplication, when you multiply a number by 1, and you have the same number, that's called the identity property of one.
The identity property of multiplication is sometimes called the one property of multiplication because it involves the number one. Any number times one equals the original number.
why is one called the multiplicative identity