0
Zero by definition is always a rational number. It can sometimes be the cause of mathematical concepts being undefined. For example, a number can not be divided by zero. Dividing by zero is undefined.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
Is it always sometimes or never true that the product of a non zero rational number and an irrational number is irrational?
It is always true.
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)
Is it true product of a non zero rational number and irrational number is rational number?
It is always FALSE.
Is the inverse of a rational number also rational?
Always, unless the original number is zero. This does not have an inverse.
Is the product of a rational and irrational number always irrational?
No, but the only exception is if the rational number is zero.
Is the product of a rational number and an irrational number rational or irrational?
Such a product is always irrational - unless the rational number happens to be zero.
Does a rational number times an irrational number equal a rational number?
No. If the rational number is not zero, then such a product is irrational.
Are integers always sometimes or never rational numbers?
All integers are rational numbers, but not all rational numbers are integers.2/1 = 2 is an integer1/2 is not an integerRational numbers are sometimesintegers.
Is the product of an irrational number and a rational number always an irrational number?
Not if the rational number is zero. In all other cases, the product is irrational.
Should the quotient of an integer divided by a non zero integer always be a rational number?
Yes, that is how a rational number is defined.
What is the product of one irrational number and one rational number?
Provided that the rational number is not 0, the product is irrational.
Is zero a rational number but not an integer?
Zero is a rational number and an integer.
