If a decimal is terminating or repeating, what type of number is it?
Answer and explanation
Correct answer: Rational number
A rational number has a decimal expansion that either ends after a finite number of digits or continues in a repeating pattern. For example, \(1/4=0.25\) terminates, while \(1/3=0.333\ldots\) repeats. This gives a useful way to identify rational numbers from their decimal forms. The repeating block may contain one digit or several digits.
The statement says that the decimal is terminating or repeating, so it matches the defining decimal property of rational numbers. An irrational number has a decimal expansion that is non-terminating and non-repeating. Integers are only a small group of rational numbers, so not every rational number is an integer. Therefore option A, rational number, is correct.
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What is the correct answer to this question?
Rational number
Why is this the correct answer?
A rational number has a decimal expansion that either ends after a finite number of digits or continues in a repeating pattern. For example, \(1/4=0.25\) terminates, while \(1/3=0.333\ldots\) repeats. This gives a useful way to identify rational numbers from their decimal forms. The repeating block may contain one digit or several digits.
The statement says that the decimal is terminating or repeating, so it matches the defining decimal property of rational numbers. An irrational number has a decimal expansion that is non-terminating and non-repeating. Integers are only a small group of rational numbers, so not every rational number is an integer. Therefore option A, rational number, is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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