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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.
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Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
What is the Multiplicative Identity for rational numbers?
It is 1, as it is for all complex numbers - which includes real numbers.
What is the integer opposite of -9?
If you mean each side of 9 then the integers or whole numbers are 8 and 10
What are inverse numbers?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
Why are the rational numbers under the operation of multiplication not a group?
I believe it is because 0 does not have an inverse element.
Does the set of rational numbers have a multiplicative inverse?
Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.
What is multiplicative inverse in rational numbers?
The inverse function of multiplication is division.
Is the set of rational numbers contains the multiplicative inverse of each of its members?
help me
Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
What numbers are their own multiplicative inverse?
One
What number does not have a multiplicative inverse?
A multiplicative inverse for 2 numbers exists if the 2 numbers are coprime, i.e. their greatest common divisor (or gcd) is 1. However, if your question refers to just a singular number, virtually all real numbers (with the exception of zero) have a multiplicative inverse.
Does the set of rational numbers have multiplicative identity?
Yes. The multiplicative identity for the rational numbers is 1 (also can be written as 1/1).
What is the multiplicative identity of 2?
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
How do you find the multiplicative inverse of mixed numbers?
change it to an improper fraction and then do it
What is one of two numbers having a product of 1?
multiplicative inverse
Does the set of rational numbers have a multiplicative identity?
Yes, it is 1.
What is a numbers reciprocal called?
A number's reciprocal could be called a multiplicative inverse.
