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Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?
Any, and every, irrational number will do.
Is the product of a rational number and an irrational number an irrational?
Not necessarily. 0 times any irrational number is 0 - which is rational.
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.
Is the product of a rational number and an irrational number always irrational?
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
What number can you add to any rational number to obtain an irrational number?
You can add any irrational number.
Is 2.14 a rational number or irrational number?
Any number with a defined end point, including 2.14, is a rational number.
Is 10.01 a rational or irrational number?
10.01 is a rational number
Is 3pi an irrational number?
Yes. Any time you multiply a rational number by an irrational number, you get an irrational number - unless the rational number is zero.
What irrational numbers can turn into a rational number?
No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.
Why is any number rational?
Any number is NOT rational. In fact, there are more irrational numbers than there are rational.
Is an irrational number plus an irrational number rational?
No. The sum of an irrational number and any other [real] number is irrational.
Are there more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
