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This qquestion is previously asked in wiki answers http://wiki.answers.com/Q/Is_zero_a_rational_number
here is a copy of it
A Rational number is one that CAN be expressed as the division of two Integers.
0/1 = 0
0/2 = 0
...
0/N = 0 ; if N is an Integer different than zero.
etc.
So Zero IS a Rational Number.
Without taking away the truth of this, watch out for:
0/0 which is NOT 0. (some will say this value is Undefined, others will say it is Infinite)
Note that a Rational Number does not have to be an Integer.
i.e. 0.75 is a rational Number since it is 3 divided by 4 (i.e 3/4, or 6/8, etc.).
A Famous NON Rational Number is PI = 3.141592654......
PI is NOT Rational since there are no Integer numbers A and B that divided will yield PI.
PI tells how many diameter lengths are needed to wrap a circle (It is obtained by dividing the perimeter of a circle by its diamater)
What else can I help you with?
Is a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
Is 0 irrational?
No, it is rational.
Is -0. 32 a rational or irrational number?
Rational
Is -4x rational or irrational?
If x is rational the it is rational. If x is irrational then it is irrational.
What are the solutions of rational algebraic equations?
They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.
Is a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
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.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Is the product of a rational number and an irrational number always irrational?
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
Is 0 a rational or irrational?
Rational.
Is the product of a rational number and an irrational number an irrational?
Not necessarily. 0 times any irrational number is 0 - which is rational.
Can you multiply an irrational number by a rational number and the answer is rational?
The product of an irrational number and a rational number, both nonzero, is always irrational
Does a rational number times an irrational number equal a rational number?
No. If the rational number is not zero, then such a product is irrational.
Is 0 an rational or irrational number?
0 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is 0 irrational?
No, it is rational.
Is 4.666 a rational number or an irrational number?
rational! :) Have a nice day!1
What product is true about the irrational and rational numbers?
The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.
