Maths-

General

Easy

Question

# If the number 0.987098709 is displayed on a calculator that can only display ten digits, do we know whether it is rational or irrational? In one complete sentence explain why?

Hint:

**Hint:**

A rational number is a type of real number, which is in the form of p/q where q is not equal to zero. For a decimal number, if a decimal expansion is a terminating decimal then it is a rational number and if a decimal expansion is non-terminating but a repeating decimal then it is also a rational number but if a decimal expansion is a non-repeating and non-terminating decimal then it is an irrational number.

## The correct answer is: YES an irrational number.

### The number 0.987098709 has 10 digits, so it will occupy the full screen of the calculator and we can it may have more digits after the last digit. The number 0.987098709 shows a non-terminating and repeating pattern but it is not known what will be the digit after the last digit because if it follows the same pattern even after the last digit then it will be a rational number, but if the digits after the last digit do not show similar pattern than it will be an irrational number. So, it is impossible to draw any conclusion.

Final Answer:

Hence, it is impossible to say if the number 0.987098709 displayed on a calculator is a rational or irrational number.

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