Which of the following is a non-terminating repeating decimal?
Answer and explanation
Correct answer: 1.272727...
Option A has the block '27' repeating indefinitely (1.272727...), so it is a non-terminating repeating decimal. Repeating decimals are rational and can be written as fractions. Option C (1.27) is a terminating decimal, not repeating. Option D, \(\sqrt{2}\), is irrational so its decimal expansion is non-terminating and non-repeating. Option B does not show a fixed repeating block in the digits shown, so it is not a repeating decimal (the pattern does not settle into a constant repeating block). Exam tip: to identify a repeating decimal, look for a fixed group of digits that repeats indefinitely after some point.
Frequently asked questions
What is the correct answer to this question?
1.272727...
Why is this the correct answer?
Option A has the block '27' repeating indefinitely (1.272727...), so it is a non-terminating repeating decimal. Repeating decimals are rational and can be written as fractions. Option C (1.27) is a terminating decimal, not repeating. Option D, \(\sqrt{2}\), is irrational so its decimal expansion is non-terminating and non-repeating. Option B does not show a fixed repeating block in the digits shown, so it is not a repeating decimal (the pattern does not settle into a constant repeating block). Exam tip: to identify a repeating decimal, look for a fixed group of digits that repeats indefinitely after some point.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
