-3 does not have a multiplicative identity in the set of real numbers.
It is the additive identity for integers, rational numbers, real numbers, complex numbers.
They both considered "identity elements". 0 is actually the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Mathematicians refers to 0 as the additive identity (or better said, the reflexive identity of addition). 1 is a separate and special entity called 'Unity' or 'Identity element'. 1 is actually the identity element under multiplication for the real numbers, since a x 1 = 1 x a = a. Mathematicians refers to 1 as the multiplicative identity (or better said, the reflex identity of multiplication).
not a real number * * * * * Zero is very much a real number. In fact it is the additive identity for the set of real numbers.
Wrong! Not only is zero a real number, but it is the additive identity for the set of integers, rational numbers as well as real numbers.
Zero is the additive identity in the set of real numbers; when you add zero to any number, the number does not change its identity.
-3 does not have a multiplicative identity in the set of real numbers.
That is how an identity is defined. If the solution was not true for all numbers, then it would not be called an identity. In fact, it should be true for all complex numbers as well.
It is 1, as it is for all complex numbers - which includes real numbers.
It is the additive identity for integers, rational numbers, real numbers, complex numbers.
It is the additive identity for the real (and complex) numbers.
They both considered "identity elements". 0 is actually the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Mathematicians refers to 0 as the additive identity (or better said, the reflexive identity of addition). 1 is a separate and special entity called 'Unity' or 'Identity element'. 1 is actually the identity element under multiplication for the real numbers, since a x 1 = 1 x a = a. Mathematicians refers to 1 as the multiplicative identity (or better said, the reflex identity of multiplication).
It is the identity for addition of real numbers. It is a place holder which allows simpler expression of numbers.
not a real number * * * * * Zero is very much a real number. In fact it is the additive identity for the set of real numbers.
Wrong! Not only is zero a real number, but it is the additive identity for the set of integers, rational numbers as well as real numbers.
i dont even flucking know
Closure: The sum of two real numbers is always a real number. Associativity: If a,b ,c are real numbers, then (a+b)+c = a+(b+c) Identity: 0 is the identity element since 0+a=a and a+0=a for any real number a. Inverse: Every real number (a) has an additive inverse (-a) since a + (-a) = 0 Those are the four requirements for a group.