It is rational. You can write its decimal part as 7,010,010,001/10,000,000,000. Add 40,000,000,000/10,000,000,000 to that and you get 47,010,010,001/10,000,000,000, a very ugly fraction that doesn't reduce. But hey, nobody ever said rational numbers were always going to look nice. It still equals 4.7010010001.
10.01 is a rational number
Rational
It is a rational number.
is 34.54 and irrational or rational. number
it is a rational number but 4.121314..... is an irrational no
Irrational.
Such a product is always irrational - unless the rational number happens to be zero.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
No number is irrational and rational.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
The sum of a rational and irrational number must be an irrational number.
rational * irrational = irrational.