Rational because you can coinvert it to a ratio(fraction).
0.6 = 6/10 = 3/5
NB Irrational Numbers are those that cannot be converted to a fraction. e,g, pi = 3.1415692.... or sqrt(2) = 1.414213562....
There are many more irrational numbers.
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10.01 is a rational number
Rational
Such a product is always irrational - unless the rational number happens to be zero.
The sum of a rational and irrational number must be an irrational number.
rational * irrational = irrational.