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It is because division by zero is not defined.

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Q: Why it is necessary to have a non zero number as denominator in any rational number?
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What is a number written as quotient of two integers where the denominator is not zero?

A rational number


Is O a rational number?

A rational number can be expressed as a fraction or ratio of two integers. Zero is an integer. Therefore, zero is a rational number EXCEPT, that the denominator of a rational number cannot be zero. You can't divide by zero.


When is rational expression undefine or meaningless?

A rational number is any number that can be expressed as a fraction. It becomes meaningless or undefined when the lower number, the denominator, its 0 (zero)


What is the number written as quotient of two integers where denominator is not zero?

rational number


Why the dinominator of rational number should not be zero?

The denominator of any number cannot be zero because division by zero is not defined.


What is a requirement for a number to a rational number?

The requirement for a number to be a rational number is that it can be expressed as a ratio of two integers, where the denominator does not equal zero.


Why does the definition of rational numbers state that b the denominator of the rational number ab cannot be equal?

I think it says a little more than that. b, the denominator of the rational number a/b, cannot be equal to zero because division by zero is undefined.


How can a rational number be positive?

A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator. Such a number can be positive, negative, or zero.A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator. Such a number can be positive, negative, or zero.A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator. Such a number can be positive, negative, or zero.A rational number is simply a number that can be expressed as a fraction, with integer numerator and denominator. Such a number can be positive, negative, or zero.


What is a number written as a quotient of two integers where denominator is not zero?

It is a rational fraction.


Definition of irrational and rational?

A rational number is one that can be expressed as the ratio of two integers with the denominator not being zero. An irrational number is one that is not rational.


Why the denominator of rational number should not be equal to zero?

To divide any number by zero will give infinity and therefore an error.


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.