Which option correctly shows the meaning of 0.̅12?
Answer and explanation
Correct answer: 0.121212…
The governing concept is recurring-decimal notation. The bar over 12 means that the complete block 12 repeats indefinitely immediately after the decimal point. Thus 0.̅12 means 0.12121212… and not merely 0.12 followed by zeros. Therefore option A is correct. Option B terminates after 0.12 and does not repeat 12. Option C begins with 11, so its repeating pattern is different. Option D begins with 0.012 and also does not place the repeated block at the required position. Reading the entire group under the bar is essential: every occurrence after the decimal is 12.
Frequently asked questions
What is the correct answer to this question?
0.121212…
Why is this the correct answer?
The governing concept is recurring-decimal notation. The bar over 12 means that the complete block 12 repeats indefinitely immediately after the decimal point. Thus 0.̅12 means 0.12121212… and not merely 0.12 followed by zeros. Therefore option A is correct. Option B terminates after 0.12 and does not repeat 12. Option C begins with 11, so its repeating pattern is different. Option D begins with 0.012 and also does not place the repeated block at the required position. Reading the entire group under the bar is essential: every occurrence after the decimal is 12.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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