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Q: Does the set of rational numbers have multiplicative identity?

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Yes, it is 1.

The multiplicative identity is a property of a set of numbers, not of an individual number in the set. 1 is the multiplicative identity for the set of all integers, rationals or reals etc. Individual elements of the set do have a multiplicative INVERSE and for 2, this is 1/2 or 0.5

-3 does not have a multiplicative identity in the set of real numbers.

Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.

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Dividing any number by 1 equals the number you started with.

Yes, it does.

There is only one set and it does have an additive identity.

In a set S, the multiplicative inverse of a non-zero element x is an element of the set, y, such that x*y = y*x = i, the identity element of S. For the set of numbers, the multiplicative identity is 1 and the multiplicative identity is also denoted by 1/x or x^-1.

Yes. The additive identity is 0.

1 is the identity for multiplication. 1*x = x = x*1 for all rational x.

There are two related identity properties: the additive identity and the multiplicative identity. The additive identity property states that for x belonging to a set, there is an additive inverse in the set, which is denoted by -x such that x + (-x) = (-x) + x = 0, where 0 is the additive identity which also belongs to the set. The multiplicative identity property states that for y belonging to a set, there is a multiplicative inverse in the set, which is denoted by 1/y or y-1 such that y * (1/y) = (1/y) + y = 1, where 1 is the multiplicative identity which also belongs to the set.

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