If (x=0.000\overline{54}), what is its ordinary decimal form?
Answer and explanation
Correct answer: \(0.000545454\ldots\)
The bar is placed only over 54, so the block 54 repeats indefinitely. The first three zeros are non-repeating; hence the expansion is \(0.000545454\ldots\). Option C incorrectly treats 540 as the repeating block. Exam tip: first identify exactly which digits are covered by the bar in a recurring decimal.
Frequently asked questions
What is the correct answer to this question?
\(0.000545454\ldots\)
Why is this the correct answer?
The bar is placed only over 54, so the block 54 repeats indefinitely. The first three zeros are non-repeating; hence the expansion is \(0.000545454\ldots\). Option C incorrectly treats 540 as the repeating block. Exam tip: first identify exactly which digits are covered by the bar in a recurring decimal.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
