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Does every rational number have an additive inverse and why?
yes
Does every rational number have an additive inverse?
Yes.
What is the additive inverse of a rational number?
It is the number with the same magnitude (absolute value) and the opposite sign.
How do you find the multplicate inverse of a rational number?
You take its reciprocal, that is you divide 1 by the number. A rational number can be written as a fraction with integer values in both the numerator and denominator, j/k. The multiplicative inverse of a number is what you have to multiply by to get a product of 1. Putting these ideas together, the multiplicative inverse is the reciprocal, or k/j: (j/k) * (k/j) = 1.
What type of number is negative 3.8?
It is a negative number. It is also a rational number; also, it's a real number.
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.
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.
Is the multiplicative inverse of any nonzero rational number is a rational number?
of course
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.
What is the sum of a rational number and its additive inverse?
Zero.
What rational number is its own additive inverse?
Zero.
Do rational number have muliplicative inverse?
All but 0.
Does every rational number have an additive inverse and why?
yes
Is the inverse of aan irrational number is irrational?
Yes. Both the additive inverse and the multiplicative inverse would be irrational in this case. For example, if a and b are integers, a/b is rational by definition; in this case, b/a would also be rational, being the ratio of two integers.
Does every rational number have an additive inverse?
Yes.
A rational number whose additive inverse is -7?
The number is 7.
