It is 1, as it is for all complex numbers - which includes real numbers.
Additive identity: zero. Multiplicative identity: one.
Let m be a whole number, then the multiplicative inverse of m is a number n such that mn=1 since 1 is the multiplicative identity. There is only one choice for n, it is 1/m since m(1/m)=1
One.
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
Yes. The multiplicative identity for the rational numbers is 1 (also can be written as 1/1).
-3 does not have a multiplicative identity in the set of real numbers.
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
Yes, it is 1.
It is 1, as it is for all complex numbers - which includes real numbers.
The multiplicative identity is the number 1. Why? Because if you multiply (or divide) a number by 1, it remains the same. eg a x 1 = a In a similar manner, the additive identity is 0. If you add (or subtract) 0 from a number, it remains the same eg a + 0 = a.
Additive identity: zero. Multiplicative identity: one.
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.
The fact that 1 is the multiplicative identity for numbers.
Yes. 1 is the multiplicative identity for numbers.
why is one called the multiplicative identity
It is the property that 1 is the multiplicative identity for sets of numbers.