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Why must you always be mindful of the final value of the denominator in a rational expression?
Wiki User
∙ 14y ago
The value of the denominator cannot be zero.
Wiki User
∙ 14y ago
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Is zero over an integer denominator always rational?
Yes
Can the denominator be an integer in a rational number?
A rational number is defined as a number that can be expressed as the ratio(fraction) of two integers.So if you see a fraction that you know is a rational number, and the denominator isn'tan integer, there's always something you can do to simplify it, without changing its value,so that the denominator and the numerator both areintegers.
Is 5.010010001 continuing in that pattern infinitely rational and how can you convert it to a fraction?
5.01001000100001... is not a rational number. Rational numbers will always repeat when written in a digital form. Since it is not rational, it cannot be written as a fraction with integer numerator and denominator.
Is there any fraction that is irrational?
There is no fraction that is irrational. A rational number is defined as the division of two integers, with the denominator not being zero, so a division (or fraction) is always rational, not irrational.
Which statement is true Converting an integer to a fraction shows whether it is rational A negative fraction is never rational An integer numerator over a zero denominator is never rational?
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
Is zero over an integer denominator always rational?
Yes
Is the quotient of two integers is always a rational number (provided the denominator is non-zero)?
Yes it is. That is the definition of rational numebrs.
When subtracting rational expressions with a common denominator always remember to the negative sign?
Distribute
When solving a rational equation what is the first step you must always take?
Get rid of the denominator.
Can the denominator be an integer in a rational number?
A rational number is defined as a number that can be expressed as the ratio(fraction) of two integers.So if you see a fraction that you know is a rational number, and the denominator isn'tan integer, there's always something you can do to simplify it, without changing its value,so that the denominator and the numerator both areintegers.
Is 5.010010001 continuing in that pattern infinitely rational and how can you convert it to a fraction?
5.01001000100001... is not a rational number. Rational numbers will always repeat when written in a digital form. Since it is not rational, it cannot be written as a fraction with integer numerator and denominator.
Will an expression containing a square root symbol always be a rational number?
It is more likely that it will be irrational.
The sum of two rational numbers is a rational number?
Always true. (Never forget that whole numbers are rational numbers too - use a denominator of 1 yielding an improper fraction of the form of all rational numbers namely a/b.)
Is there any fraction that is irrational?
There is no fraction that is irrational. A rational number is defined as the division of two integers, with the denominator not being zero, so a division (or fraction) is always rational, not irrational.
Which statement is true Converting an integer to a fraction shows whether it is rational A negative fraction is never rational An integer numerator over a zero denominator is never rational?
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Is the difference of two rational numbers always rational?
Yes. This is the same as asking for one rational number to be subtracted from another; to do this each rational number is made into an equivalent rational number so that the two rational numbers have the same denominator, and then the numerators are subtracted which gives a rational number which may possibly be simplified.
