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Additive inverse of x is -x (minus x). It's the number that when you add it to the original number, the sum is 0 (zero). 0 is the ADDITIVE IDENTITY, since x+0 = x for all x.
Multiplicative inverse of x is 1/x. Its the number that when you multiply it by the original number, the product is 1. 1 is the MULTIPLICATIVE IDENTITY since 1x = x for all x.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoGiven a function, f, its inverse is the function which restores the result to the original value.For example,
the inverse of f(x) = x + 3 is g(x) = x - 3
the inverse of f(x) = 2x is g(x) = x/2
Another way to look at it is the composite functions f(g(x)) and g(f(x)) must be the identity function.
f(g(x)) = g(f(x)) = x
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Definition of Inverse property of addition?
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division
When the number is added to its additive inverse what is the sum equal to?
It is zero, by definition of additive inverse!
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
Is multiplicative inverse and reciprocal have the same definition?
Yes.
What is the definition of multiplicitive inverse?
The definition of an multipilicative inverse is a number that's times by the known number to attain a product of one. To find the multiplicative inverse is the same thing as the recipricol of the number. To find the multiplicitive inverse or recipricol of a number, first turn the number into a fraction, then switch the numerator and denominator around. The result is your multiplicitive inverse.
Definition of Inverse property of addition?
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division
When the number is added to its additive inverse what is the sum equal to?
It is zero, by definition of additive inverse!
What is the sum of a fractional number and its additive inverse?
0. By the definition of "additive inverse", the sum of ANY number and its additive inverse must be 0.
Multiplicative inverse is the definition of what word?
cross multiply
What is an algebraic definition of subtraction?
it is considered, to be the: "Inverse," in algebra!(:
Is multiplicative inverse and reciprocal have the same definition?
Yes.
What is the definition of multiplicitive inverse?
The definition of an multipilicative inverse is a number that's times by the known number to attain a product of one. To find the multiplicative inverse is the same thing as the recipricol of the number. To find the multiplicitive inverse or recipricol of a number, first turn the number into a fraction, then switch the numerator and denominator around. The result is your multiplicitive inverse.
When a number is added to its additive inverse what is the sum equal to?
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)
Is the product of a number and its multiplicative inverse always a rational number?
If the multiplicative inverse exists then, by definition, the product is 1 which is rational.
Why Is the product of a fraction and its multiplicative inverse 1?
The statement is true only for non-zero fractions and it follows from the definition of a multiplicative inverse.
What is the definition of Inverse Proportionality?
y is inversely proportional to x if it is proportional to 1/x.
What is multiplicative inverse of 0?
There is no multiplicative inverse of 0. By definition, when you multiply a number by its multiplicative inverse, the product is 1. However, when you multiply 0 by anything, the product is 0. Those two statements could not logically co-exist if there were any multiplicative inverse of 0, so there is no such thing.
