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How do you define whether a given number is rational or irrational?
Wiki User
∙ 10y ago
A rational number can be expressed as a simple fraction, an irrational number cannot.
More formally:
A rational number is any real number that can be expressed as a ratio of two integers (positive or negative whole numbers).
(The denominator in the ratio cannot be zero.)
An irrational number cannot be expressed in that way.
The terms "rational" and "irrational" refer to the idea of "ratio".
Wiki User
∙ 10y ago
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How can you determine whether the square root of a number is a rational number or an irrational number?
If it can't be expressed as a fraction then it is an irrational number
When an irrational number is divided by a rational number is the quotient rational or irrational?
Irrational.
What is the product of rational and irrational number?
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
Is the product of a rational number and irrational number always rational?
No.A rational times an irrational is never rational. It is always irrational.
When you multiply an irrational number by a rational number will the answer always be irrational rational or both?
It will be irrational.
Whether a rational number multiplied by an irrational number gives an irrational number?
rational * irrational = irrational.
Is 0.05 a rational or irrational number?
It is a rational number.
is 0.313111331 a rational or irrational number?
It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.
is 27.5 rational or irrational?
It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.
How do you Represent irrational number on number line?
The same as you would a rational number. Its distance from zero will represent the number, whether it is rational or irrational.
Does the sign of a number indicate whether it is rational or irrational?
No.
What do you do to check whether a number is rational or irrational?
If its decimal representation is either terminating or a repeating number then it is rational. Otherwise it is irrational.
Is 10.01 a rational or irrational number?
10.01 is a rational number
Is -2.75 an irrational or rational number?
It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational. The fact that it is negative does not matter.
How can you determine whether the square root of a number is a rational number or an irrational number?
If it can't be expressed as a fraction then it is an irrational number
How do you define irrational numbers?
Quite simply, a number that is not a rational number. And a rational number is one that can be written as a fraction, with integer numerator and denominator.
Is 37.5 a rational or irrational number?
Rational
