Question
A calculator displays the following number in its display: 0.37 which does not fill the display screen. Is this enough to determine whether this number is rational or irrational? In at least 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 a rational number.
The screen of the calculator shows 0.37 on the screen and it does not fill the screen. It indicates that the 0.37 is a terminating decimal number because it has no digits after its hundredth place. So, the number can be converted into a fraction and can be represented in p/q form.
Final Answer:
As the number shown on the screen of the calculator can be converted into p/q form. Hence, the number will be a rational number.
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