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What is the multicative identity of -3?
-3 does not have a multiplicative identity in the set of real numbers.
Why is 0 an interesting number?
It is the additive identity for integers, rational numbers, real numbers, complex numbers.
0 and 1 are not prime numbers but apparently they have their own special names what are they?
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).
What number is zero?
not a real number * * * * * Zero is very much a real number. In fact it is the additive identity for the set of real numbers.
Is zero is not considered a real number?
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.
What number is the additive identity in the set of 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.
What is the multicative identity of -3?
-3 does not have a multiplicative identity in the set of real numbers.
Why is the solution to an identity all 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.
What is the Multiplicative Identity for rational numbers?
It is 1, as it is for all complex numbers - which includes real numbers.
Why is 0 an interesting number?
It is the additive identity for integers, rational numbers, real numbers, complex numbers.
What is the role of zero in maths?
It is the additive identity for the real (and complex) numbers.
0 and 1 are not prime numbers but apparently they have their own special names what are they?
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).
What is the purpose of zero number?
It is the identity for addition of real numbers. It is a place holder which allows simpler expression of numbers.
Is zero is not considered a real number?
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.
What number is zero?
not a real number * * * * * Zero is very much a real number. In fact it is the additive identity for the set of real numbers.
Could there be an identity matrix for matrix addition similar to the additive identity for the set of real numbers?
i dont even flucking know
Show that the set of all real numbers is a group with respect to addition?
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.
