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Is a additive inverse of any rational number a negative number?
The additive inverse of EVERY positive rational number is a negative number.
Why does every rational number have an additive inverse?
It is a fundamental requirement of algebraic structures called groups.
What is the aditive inverse property?
For every number, a,there exists a number called the additive inverse, -a, such that a + -a = 0.
Does every natural number have an additive inverse?
Yes. Just put a minus sign in front of it. Note that except for the zero, the additive inverse is no longer a natural number.
Does every integer have an additive inverse?
Yes.
Is a additive inverse of any rational number a negative number?
The additive inverse of EVERY positive rational number is a negative number.
Does every rational number have an additive inverse and why?
yes
Does every rational number have an additive inverse?
Yes.
Why does every rational number have an additive inverse?
It is a fundamental requirement of algebraic structures called groups.
What is the aditive inverse property?
For every number, a,there exists a number called the additive inverse, -a, such that a + -a = 0.
How does every rational number have an additive inverse?
By definition, every rational number x can be expressed as a ratio p/q where p and q are integers and q is not zero. Consider -p/q. Then by the properties of integers, -p is an integer and is the additive inverse of p. Therefore p + (-p) = 0Then p/q + (-p/q) = [p + (-p)] /q = 0/q.Also, -p/q is a ratio of two integers, with q non-zero and so -p/q is also a rational number. That is, -p/q is the additive inverse of x, expressed as a ratio.
Does every integer has an additive inverse?
The additive inverse states that a number added to its opposite will equal zero. A + (-A) = 0. The "opposite" number here is the "negative" of the number. For any number n, the additive inverse is (-1)n. So therefore yes.
Does every natural number have an additive inverse?
Yes. Just put a minus sign in front of it. Note that except for the zero, the additive inverse is no longer a natural number.
Does every integer have an additive inverse?
Yes.
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 ).
When the additive inverse of a number equal to the absolute value of the number?
One example would be a Galois Field size 4 (ie GF(4)). Here, the elements are {0,1,2,3} and every element is its own additive inverse.
What is the additive inverse of the complex number 8 plus 3i?
To form the additive inverse, negate all parts of the complex number → 8 + 3i → -8 - 3i The sum of a number and its additive inverse is 0: (8 + 3i) + (-8 - 3i) = (8 + -8) + (3 + -3)i = (8 - 8) + (3 - 3)i = 0 + 0i = 0.
