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Which complex numbers has the same multiplicative and additive inverse?

Updated: 11/30/2021
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Khawaja Baba

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Q: Which complex numbers has the same multiplicative and additive inverse?
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Related questions

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.


What is the opposite of the opposite of a number is?

The same number....


What is the additive inverse of 6 plus 4i?

The additive inverse of 6+4i is -6-4i since their sum is 0. It is analogous to real numbers where the additive inverse of 6 is -6 since 6+-6 =6-6=0 In the case of complex numbers, we add them by adding the real parts and then adding the imaginary parts. So to find the complex additive inverse of a+bi, we find the inverse of a which is -a and of bi which is -bi and so the additive inverse is -a-bi


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.


What is the additive inverse of 18?

The additive inverse is the sum of two numbers that will equal zero. The additive inverse of -18 is 18.


What is multiplicative inverse in rational numbers?

The inverse function of multiplication is division.


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.


What is the inverse for numbers under addition?

A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.


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 the additive inverse of 18 23-?

Find the additive inverse (opposite) of: 18/23