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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.

Q: What are the elements in rational numbers having multiplicative inverse?

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Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.

It is 1, as it is for all complex numbers - which includes real numbers.

If you mean each side of 9 then the integers or whole numbers are 8 and 10

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.

I believe it is because 0 does not have an inverse element.

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

The inverse function of multiplication is division.

help me

Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.

One

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.

Yes. The multiplicative identity for the rational numbers is 1 (also can be written as 1/1).

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

change it to an improper fraction and then do it

multiplicative inverse

Yes, it is 1.

A number's reciprocal could be called a multiplicative inverse.