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Why does the definition of rational numbers state that b the denominator of the rational number ab cannot be equal?
Wiki User
∙ 6y ago
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.
Wiki User
∙ 6y ago
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What is the definition for rational and irrational?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is zero an irational number?
Zero is a rational number, and therefore is NOT an irrational number. The definition of a rational number is any number that can be expressed as a fraction where the numerator and demoninator are both integers, and the denominator is non-zero. Irrational numbers are all real numbers that are not rational numbers. Since zero qualifies under the definition of a rational number, (0/3, for example), it therefore cannot be an irrational number.
Why can't numbers be both rational and irrational?
By definition, an irrational number is a number that is not rational, or in other words a number that cannot be expressed as an integer divided by another integer. A number cannot be both "rational" and "not rational."
Why in rational numbers q is not equal to 0?
The denominator of any number cannot be zero because division by zero is not defined.
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.
Can rational numbers have 0 as a denominator?
No, because you cannot divide by zero.
What is the definition for rational and irrational?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is zero an irational number?
Zero is a rational number, and therefore is NOT an irrational number. The definition of a rational number is any number that can be expressed as a fraction where the numerator and demoninator are both integers, and the denominator is non-zero. Irrational numbers are all real numbers that are not rational numbers. Since zero qualifies under the definition of a rational number, (0/3, for example), it therefore cannot be an irrational number.
Why can't numbers be both rational and irrational?
By definition, an irrational number is a number that is not rational, or in other words a number that cannot be expressed as an integer divided by another integer. A number cannot be both "rational" and "not rational."
Why in rational numbers q is not equal to 0?
The denominator of any number cannot be zero because division by zero is not defined.
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 -14 a rational or irrational number?
14 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
Can rational numbers r?
No, rational numbers cannot r.
Is 3.9 rational or irrational?
If there are no numbers after the 9 it is rational
How are rational numbers the same as integers?
Every integer can be expressed as a ratio of itself over 1. Also, any rational number that has a numerator that is divisible by the denominator is an integer. BUT all rational numbers are not integers.
What can the denominator of a rational expression never equal?
It cannot be zero.
Is 18 rational or irrational?
irrational
