The decimal \(0.1010010001\ldots\) that shows no fixed repeating block is what type of number?
Answer and explanation
Correct answer: Irrational number
A decimal that is non-terminating and non-repeating represents an irrational number. Rational numbers either terminate or repeat a fixed block in their decimal form, so option B is incorrect. Integers and whole numbers are special cases of rationals and therefore do not describe a non-terminating non-repeating decimal; C and D are incorrect. Exam tip: if a decimal neither ends nor shows a repeating pattern, classify it as irrational; try expressing the number as a fraction to test rationality.
Frequently asked questions
What is the correct answer to this question?
Irrational number
Why is this the correct answer?
A decimal that is non-terminating and non-repeating represents an irrational number. Rational numbers either terminate or repeat a fixed block in their decimal form, so option B is incorrect. Integers and whole numbers are special cases of rationals and therefore do not describe a non-terminating non-repeating decimal; C and D are incorrect. Exam tip: if a decimal neither ends nor shows a repeating pattern, classify it as irrational; try expressing the number as a fraction to test rationality.
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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