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May the sum of a rational and an irrational number only be a rational number?
No. In fact the sum of a rational and an irrational MUST be irrational.
The mode of a list of rational numbers must be a rational number?
false
Is 4.121314 is a rational?
No, a rational number must be a whole number, for example 40 and 5643 and 948.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
Must the difference between two rational numbers be a rational number?
Yes.
Must the difference between two rational be a rational number?
Yes, it must.
Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Can you add two rational numbers and get a rational number?
Every time. The sum of two rational numbers MUST be a rational number.
May the sum of a rational and an irrational number only be a rational number?
No. In fact the sum of a rational and an irrational MUST be irrational.
Is -14 rational number?
nope. rational numbers must be positive.
The mode of a list of rational numbers must be a rational number?
false
Is 4.121314 is a rational?
No, a rational number must be a whole number, for example 40 and 5643 and 948.
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
Is 0.555555 both rational and irrational rational neither rational nor irrational irrational?
No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
Must the difference between two rational numbers be a rational number?
Yes.
Is 0.10100100010000 a rational number?
Since it has a terminating decimal (or binary or to any other rational base) representation, it must be rational.
