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.
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.
A "complex number" is a number of the form a+bi, where a and b are both real numbers and i is the principal square root of -1. Since b can be equal to 0, you see that the real numbers are a subset of the complex numbers. Similarly, since a can be zero, the imaginary numbers are a subset of the complex numbers. So let's take two complex numbers: a+bi and c+di (where a, b, c, and d are real). We add them together and we get: (a+c) + (b+d)i The sum of two real numbers is always real, so a+c is a real number and b+d is a real number, so the sum of two complex numbers is a complex number. What you may really be wondering is whether the sum of two non-real complex numbers can ever be a real number. The answer is yes: (3+2i) + (5-2i) = 8. In fact, the complex numbers form an algebraic field. The sum, difference, product, and quotient of any two complex numbers (except division by 0) is a complex number (keeping in mind the special case that both real and imaginary numbers are a subset of the complex numbers).
Lots of numbers do. To begin, all real numbers do. Multiples of sqrt(-1), aka. imaginary numbers, do. The Complex Numbers are all numbers which are the sum of a real number and an imaginary number.
The sum of any one number is the value of that number.
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0) Number + additive inverse of number = 0, by definition (the additive inverse of a number is that number, which when added to the original number, results in a sum of 0)
The additive inverse of 18 is -18. The additive inverse of any number is the opposite of that number, such that the sum of the original number and the additive inverse is zero.
The additive inverse for a number is its negative value. The sum of an integer and its additive inverse is zero. For the example (5), the additive inverse would be (-5).
The additive inverse of 41 is -41. An additive inverse is the number that will make the sum equal zero.
It is zero, by definition of additive inverse!
The additive inverse of a number is the negative of that number. Given one number, its additive inverse is the number that needs to be added to it so that the sum is zero. Thus: The additive inverse of 2.5 is -2.5 The additive inverse of -7.998 is 7.998
The additive inverse of x is -x It is the number that, when added to the original, gives a sum equal to zero.
I assume you mean the additive inverse. The sum of any number and its additive inverse is zero. For example, 7 + (-7) = 0.
Additive inverse is a number that when added to a given number results in a sum of 0. So the additive inverse of -327 is 327. -327 + 327 = 0
-6. The additive inverse of a number is the number, that, when added to the original number, causes it to equal zero. You can kind of think of it like an opposite number. So, the additive inverse of 2 is -2, and -4 is 4.