If a number is both non-terminating andnon-repeating then it is irrational.
It is called irrational because we can not convert the number in to a fraction where the denominator (the number at the bottom) is not 0.
You could search for as long as you liked, but you would not find two integers which when one is divided by the other (when the bottom number is not 0 remember) that would result in a number which is both non-terminating and non-repeating.
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If there's a repeating sequence then it's a rational number.
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
No. Every rational number is not a whole number but every whole number is a rational number. Rational numbers include integers, natural or counting numbers, repeating and terminating decimals and fractions, and whole numbers.
That is the definition of a rational number.