A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers.
3.14 is rational. However, it is often used as an approximation for pi, which is irrational.
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
No, and nor is negative 5 pi.
A number is said to be rational if it can be expressed as a ratio of two [finite] integers [the second of which is non-zero]. Here, if pi is to be rational, both p and q must be integers. If p is an integer then q will be irrational and if q is an integer, p will be irrational. They can never both be rational and so the ratio definition cannot be satisfied.
Minus two.Some rational numbers are positive, some are negative. -9 is a negative rational number.
No. To be a rational number it must be an integer over another integer. π is not an integer, nor can it be made into an integer by multiplying it by another integer, thus one twelfth of π is not a rational number.
A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers.
pi is not a integer any of the natural numbers (positive or negative) or zero; "an integer is a number that is not a fraction"- since pi has a decimal it isn't considered a integer
3.14 is rational. However, it is often used as an approximation for pi, which is irrational.
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
-4.9 is a rational number. If a number is irrational, then it can not be expressed as a finite number of digits. A few examples of irrational numbers are: pi, the square root of any integer which is not square and the golden ratio (phi).
1/2, 5, pi, respectively
No, and nor is negative 5 pi.
-1.5, -pi, -2/5
pi is real, irrational and transcendent; it is not rational, complex, nor an integer.Yes, it is non-terminating and non-repeating.Yes, pie is an irrational number.
A number is said to be rational if it can be expressed as a ratio of two [finite] integers [the second of which is non-zero]. Here, if pi is to be rational, both p and q must be integers. If p is an integer then q will be irrational and if q is an integer, p will be irrational. They can never both be rational and so the ratio definition cannot be satisfied.