The opposite is defined in the context of an operation.
So, if the operation is addition, then the opposite is the additive inverse. If the operation in multiplication, then the opposite is the reciprocal. If the operation is exponentiation then the opposite is the logarithm, if the operation is sine then the opposite is arc sine.
In function notation,
if y = f(x) then the opposite is x = f-1(y), which may or may not always be defined.
Yes. Those would be numbers such as 5 and -5, which only have opposite signs - they are called additive inverses (of one another).
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
Two numbers that are the same distance from zero on the number line but are on opposite sides of zero are opposite numbers, or opposites. The opposite of a number is called its additive inverse. The opposite of 78 is -78.
usually this means positive numbers and their negative counterparts. The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites, or additive inverse property). Example: -999 + 999 = 0; therefore -999 and 999 are additive inverse (1/3) + (-1/3) = 0; therefore 1/3 and -1/3 are additive inverse 1 + (-1) = 0; therefore 1 and -1 are additive inverse a + (-a) = 0; therefore a and -a are additive inverse, So, the opposite of -999 is 999; the opposite of 1/3 is -1/3; the opposite of 1 is -1, and the opposite of a is -a.
It depends on the context:Inverse refers to a statement or theorem opposite.Negative refers to additive opposites.Reciprocal refers to multiplicative opposites.
They are pair of additive inverses or additive opposites.
Additive inverses or additive opposites.
Not necessarily. Negatives are called opposites, or additive inverses. Inverses is much more general. For example, the inverse of an exponent is a logarithm.
Because by definition, there sum will always be zero. Because the definition of opposites are additive inverses.
They are opposites or additive inverses. They equal zero when added together.
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?
opposites, additive inverses
Additive opposites MUST have the same absolute values.
The additive inverse is +4
That a and b are additive inverses of one another.
The answer depends on the context for opposite. Common opposites are the additive or multiplicative inverses but any invertible function can be used to define an opposite.
If by "opposite" you mean "additive inverse", then yes.