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An inverse integer typically refers to the additive inverse of an integer, which is the number that, when added to the original integer, results in zero. For example, the additive inverse of 5 is -5, as 5 + (-5) = 0. In a broader mathematical context, the term can also refer to the multiplicative inverse, which is a number that, when multiplied by the original integer, results in one; for instance, the multiplicative inverse of 5 is 1/5.
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Which integer is equal to additive inverse?
The additive inverse of an integer ( x ) is the integer that, when added to ( x ), results in zero. This integer is (-x). For example, the additive inverse of 5 is -5, and the additive inverse of -3 is 3.
Is the multiplicative inverse of a rational number an integer?
No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.
How Every nonzero integer has a multiplicative inverse as an integer?
A nonzero integer does not have a multiplicative inverse that is also an integer. The multiplicative inverse of an integer ( n ) is ( \frac{1}{n} ), which is only an integer if ( n ) is ( 1 ) or ( -1 ). For all other nonzero integers, the result is a rational number, not an integer. Therefore, only ( 1 ) and ( -1 ) have multiplicative inverses that are integers.
Does every integer have a multiplicative inverse?
No, it does not.
Does every integer have an additive inverse?
Yes.
How is integer subtraction related to integer addition?
they are inverse functions
Is the multiplicative inverse of a rational number an integer?
No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.
Does every integer have a multiplicative inverse?
No, it does not.
What is another name for the opposite of an integer?
inverse
Does every integer have an additive inverse?
Yes.
What is an integer and its opposite called?
Additive Inverse
When you add an integer to its additive inverse you get?
Zero
What is the additive inverse of .5?
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).
How do you find the additive inverse of an integer?
Change its sign.
Which integer is equal to its additive inverse?
Zero
What are the characteristics of a negative integer?
A negative integer is a whole number that is smaller than zero. It is the additive inverse of a positive integer.
What is negative integer of 100?
The additive inverse of 100 is -100.
