If a decimal terminates (as this one does) or it has a repeating pattern (an example would be if it was 0.242424....) then the decimal can be represented as a ratio of two integers, and is rational.
In this case: -4849/20000, so it is rational.
Irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
No.A rational times an irrational is never rational. It is always irrational.
It will be irrational.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).
10.01 is a rational number
Rational
RATIONAL , because you can convert it to a RATION (FRACTION). Method Let P = 0.272727.... Then 100P = 27.272727.... Subtract 99P = 27 (Note the decimals to infinity subtract to zero. P = 27/99 Cancel down by '9' P = 3/11 ( Which is a RATIO/rational). Since both '3' & '11' are prime numbers this will not cancel down any further. Hence 3/11 = 0.272727....
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.