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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)
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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 0.34343434 rational or irrational?
Rational
Is 4.46466... rational or irrational?
No
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 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.
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 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 irrational?
No, it is rational.
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 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.
