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, it is not.
No. sqrt(2)/pi is not rational.
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.
Firstly, it is pi, not phi. Second, 22/7 is a ratio of 2 integers. It is, therefore a rational number. pi is not a rational number, so it cannot be 22/7. It is a near enough approximation, though.
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. pi/2 is a faction but it is not a rational number.
No. pi/2 is a fraction but, since pi is irrational, so it pi/2.
A rational number, by definition, is a number that can be written as a fraction. So, yes, 7/2 is a rational number An example of an irrational number would be pi, which cannot be expressed as a fraction.
No, it is not.
Yes, 3.14/2 is a rational number. 3.14/2 = 1.57 1.57 = 1 57/100 = 157/100. Do not confuse this with pi, which is 3.14159..., which is an irrational number.
No. sqrt(2)/pi is not rational.
You might add (-pi/3), in which case you obtain zero. Or you can choose any other rational number, and subtract that number minus pi/3. For example, if you want the result to be 2, , the number you must add is (2 - pi/3).
No, since Pi is an irrational number, 2(pi) would still be irrational.
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, or the square root of 2.
Firstly, it is pi, not phi. Second, 22/7 is a ratio of 2 integers. It is, therefore a rational number. pi is not a rational number, so it cannot be 22/7. It is a near enough approximation, though.