is 0.3 pi rational,67/79 , 75 pi,0.3 pi,13 pi
no, .3π is not rational
since π is irrational, any multiple of π such as
.3π is also irrational.
(I don't understand what the
67/79 , 75 pi,0.3 pi,13 pi
is supposed to be )
To determine whether a number is rational or irrational, we need to check if it can be expressed as a fraction (rational) or not (irrational).
Let's go through each number one by one:
1. 0.3π:
To check if 0.3π is rational or irrational, we need to see if it can be expressed as a fraction. In this case, since π (pi) is an irrational number, multiplying it by any rational number (like 0.3) would still result in an irrational number. Therefore, 0.3π is an irrational number.
2. 67/79:
This number is expressed as a fraction. Since both the numerator (67) and the denominator (79) are integers, it is a rational number.
3. 75π:
Similar to 0.3π, multiplying an irrational number (π) by a rational number (like 75) would still result in an irrational number. Therefore, 75π is an irrational number.
4. 0.3π:
This number was already discussed in the first point and determined to be irrational.
5. 13π:
As in the previous cases, multiplying π by a rational number (in this case, 13) would result in an irrational number. Thus, 13π is also an irrational number.
To determine whether a number is rational or irrational, we need to determine if it can be written as a fraction of two integers. I'll go through each number you mentioned and explain how to determine if it is rational or irrational.
1. 0.3π: To check if this number is rational, we need to see if it can be expressed as a fraction of two integers. However, since we have an irrational number (π) multiplied by a rational number (0.3), the product is still irrational. Therefore, 0.3π is an irrational number.
2. 67/79: This is a fraction with two integers in the numerator and denominator. Since there are no variables or irrational numbers involved, we can easily see that 67/79 is a rational number.
3. 75π: Again, we have an irrational number (π) multiplied by a rational number (75). Therefore, the product is an irrational number.
4. 0.3π: We have already discussed this number in the first point. It is also an irrational number.
5. 13π: Similar to the previous examples, multiplying an irrational number (π) by a rational number (13) results in an irrational number.
In summary:
- 0.3π, 75π, and 13π are irrational numbers.
- 67/79 is a rational number.