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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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โˆ™ 2009-07-09 17:56:53
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Q: What are the elements in rational numbers having multiplicative inverse?
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Related questions

What is multiplicative inverse in rational numbers?

The inverse function of multiplication is division.


Does the set of rational numbers have a multiplicative inverse?

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


Is the set of rational numbers contains the multiplicative inverse of each of its members?

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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 numbers are their own multiplicative inverse?

One


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 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.


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.

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