what do you do to check whether a number is rational or irrational? in your explanation, use an example of an irrational and rational number

Answer 1

To determine whether a number is rational or irrational, we need to first understand what these terms mean. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. An irrational number, on the other hand, is a number that cannot be expressed as a fraction and has an infinite number of decimals that never repeat.

One way to check whether a number is rational or irrational is to try and express it as a fraction. If the number can be written as a fraction, then it is rational. If it cannot be expressed as a fraction, then it is irrational.

For example, let's take the number 1/3. This is a rational number because it can be written as a fraction with integers for both the numerator and the denominator.

Now let's take the number √2, which is the square root of 2. This number cannot be written as a fraction with integers for the numerator and denominator, so it is irrational.

In summary, to check whether a number is rational or irrational, we need to try and express it as a fraction. If we can do so, then it is rational. If we cannot, then it is irrational.