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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.
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Are two integers that are opposite also called additive inverses.?
Yes. Those would be numbers such as 5 and -5, which only have opposite signs - they are called additive inverses (of one another).
What does mean additive inverses?
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
What is the additive inverse of 78?
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.
What are opposites in algebra?
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.
What are mathematical terms that mean opposite of?
It depends on the context:Inverse refers to a statement or theorem opposite.Negative refers to additive opposites.Reciprocal refers to multiplicative opposites.
