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Does every rational number have an additive inverse and why?
yes
Does every rational number have an additive inverse?
Yes.
Is the inverse of a rational number also rational?
Always, unless the original number is zero. This does not have an inverse.
How are a number and its opposite represented on a number line?
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
What are inverse numbers?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
Is a additive inverse of any rational number a negative number?
The additive inverse of EVERY positive rational number is a negative number.
Is the additive inverse of any rational number is negative?
No. The additive inverse of zero or a negative rational number is not negative.
What rational number is its own additive inverse?
Zero.
Does every rational number have an additive inverse and why?
yes
What is the sum of a rational number and its additive inverse?
Zero.
Does every rational number have an additive inverse?
Yes.
A rational number whose additive inverse is -7?
The number is 7.
Is the only rational number which is equal to it's additive inverse?
Zero.
Why does every rational number have a additive inverse?
The rational numbers form an algebraic structure with respect to addition and this structure is called a group. And it is the property of a group that every element in it has an additive inverse.
Can the additive inverse of any rational number negative?
Yes, almost half of them have additive inverses which are negative.
When are the absolute value and the opposite of a rational number equal?
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.
What is the additive inverse of eighteen?
The additive inverse of 18 is -18. The additive inverse of any number is the opposite of that number, such that the sum of the original number and the additive inverse is zero.
