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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.
WHAT integer has its own additive inverse?
Every integer has its own additive inverse, which is simply the integer multiplied by -1. For example, the additive inverse of 5 is -5, and the additive inverse of -3 is 3. Therefore, all integers, including zero, have their own additive inverses. In summary, any integer ( x ) has an additive inverse of ( -x ).
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.
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.
WHAT integer has its own additive inverse?
Every integer has its own additive inverse, which is simply the integer multiplied by -1. For example, the additive inverse of 5 is -5, and the additive inverse of -3 is 3. Therefore, all integers, including zero, have their own additive inverses. In summary, any integer ( x ) has an additive inverse of ( -x ).
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.
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.
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).
What is another name for the opposite of an integer?
inverse
Does every integer have an additive inverse?
Yes.
When you add an integer to its additive inverse you get?
Zero
What is an integer and its opposite called?
Additive Inverse
What is the Additive inverse of the greatest negative integer?
The greatest negative integer is -1. The additive inverse of a number is the value that, when added to the original number, results in zero. Therefore, the additive inverse of -1 is +1.
