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.
Additive identity: zero. Multiplicative identity: one.
equidistant from zero on a standard number line
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
Zero does not have an opposite * * * * * While it is true that zero has no multiplicative opposite (or inverse), it certainly has an additive inverse, and that is also zero, since 0 + 0 = 0
Opposites in math are called inverses. There are two of these inverses: an additive and a multiplicative. The additive inverse of a number is that number multiplied by -1. If this is added to the number, then the result will be 0. The multiplicative inverse of a number is its reciprocal. This is the number converted into a fraction then flipped. If you multiply a number with its multiplicative inverse, the result will be 1.
The additive inverse of a number a is the number -a because a + (-a) = 0. For 5.42, the additive inverse is -5.42 because 5.42 + (-5.42) = 0. The multiplicative inverse of a number a is the number 1/a because a(1/a) = 1. For 5.42, the multiplicative inverse is 1/5.42 = 0.1845.
The answer depends on the context for opposition: the additive inverses are whole numbers but the multiplicative inverses are not (except in the case of -1 and +1).
A pair of additive inverses. If the word "additive" is not used, there is no way of differentiating from multiplicative inverses: x and 1/x which multiply to 1.
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.
Additive identity: zero. Multiplicative identity: one.
The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.
Additive inverses or additive opposites.
They are called the additive inverses!
There are two main types of inverses. Additive inverses total zero. Any number and its negative are inverses. 3 and -3 are inverses. Multiplicative inverses total 1. 3/4 and 4/3 are inverses. 3/4 x 4/3 = 12/12 = 1 Most often, the word inversely in math means upside down.
Additive inverse: -2.5 Multiplicative inverse: 0.4
They are additive inverses of each other. They are often called opposites, but that is not good practise. You can have multiplicative inverses (1/2 and 2 because they multiply to 1), and will you call them opposites also?