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What are the elements in rational numbers having multiplicative inverse?
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.
How do you find the multiplicative inverse of a whole number?
Divide 1 by the number. The multiplicative inverse of 7 is 1/7, for example.
What is the mulitplicative inverse of -6?
The multiplicative inverse of a number is any number that will multiply by it to make zero. Here, the multiplicative inverse of -6 is -(1/6), or negative one sixth.
How are a number and its opposite represented on a number line?
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
Is the multiplicative inverse of any irrational number always an irrational number?
Yes.
