Answer: all of the above
Explanation:
What numbers are rational? 2/11, 3.6, 0.8333333333-, 11/2
Rational numbers are an important concept in mathematics. They are defined as any number that can be expressed as a ratio of two integers. This means that rational numbers can be written as a fraction, where the numerator and denominator are both integers. For example, 2/11 is a rational number because it can be expressed as the fraction of two integers.
It is important to note that not all numbers are rational. For example, irrational numbers cannot be expressed as a ratio of two integers. Instead, they are represented by decimal expansions that do not terminate and do not repeat. Examples of irrational numbers include π and the square root of 2.
Returning to the example of 2/11, we can see that it is rational because we can express the numerator and denominator as two different integers. Specifically, the numerator is 2 and the denominator is 11. This means that we can write 2/11 as a fraction, and we can perform arithmetic operations on it just like any other rational number.
The concept of rational numbers is important in many areas of mathematics and science. For example, they are used extensively in geometry and physics to represent measurements and quantities. They also play a key role in the study of number theory, which is the branch of mathematics that deals with the properties and relationships of numbers.
In conclusion, rational numbers are an important concept in mathematics that is defined as any number that can be expressed as a ratio of two integers. They are used extensively in many areas of mathematics and science, and understanding them is crucial for anyone interested in these fields.