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The answer depends on whether you mean an additive opposite or a multiplicative opposite.
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What is absolute value of the opposite of a nonzero rational number?
The absolute value is always positive.
Is the multiplicative inverse of any nonzero rational number is a rational number?
of course
Should the quotient of an integer divided by nonzero integer always be a rational number?
Yes, by definition.
When are the absolute value and the opposite of rational number equal?
When the number is 0.
What is a rational number whose opposite and absolute value are the same?
They are all non-positive rational numbers.
What is absolute value of the opposite of a nonzero rational number?
The absolute value is always positive.
Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
How do you Use absolute value to write definition of the opposite of a nonzero rational number?
I would do it that way.
Is the quotient of two nonzero numbers never a rational number?
The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
Is the multiplicative inverse of any nonzero rational number is a rational number?
of course
Is the quotient of two nonzero numbers always a rational number?
Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.
Is the quotion of any two nonzero integers is a rational number true?
The definition of a rational number is the quotient of any two nonzero integers.
Is the product of a nonzero rational number and an irrational number rational or irrational?
It is always irrational.
What is product of a nonzero rational number and irrational number is?
It is irrational.
Nonzero rational number and in irrational number makes what?
An irrational number.
What is product of a nonzero rational number and a irrational number?
It is an irrational number.
Is a nonzero integer always be a rational number?
Yes.
