If (x=0.00\overline{45}), what is its ordinary decimal form?
Answer and explanation
Correct answer: \(0.00454545\ldots\)
The bar is over 45 only, so after the initial two zeros, 45 repeats continuously: \(0.00\overline{45}=0.00454545\ldots\). In option B, the repeating block begins one decimal place later, so it represents a different number. Exam tip: Repeat only the digits under the bar; digits before the bar are written only once.
Frequently asked questions
What is the correct answer to this question?
\(0.00454545\ldots\)
Why is this the correct answer?
The bar is over 45 only, so after the initial two zeros, 45 repeats continuously: \(0.00\overline{45}=0.00454545\ldots\). In option B, the repeating block begins one decimal place later, so it represents a different number. Exam tip: Repeat only the digits under the bar; digits before the bar are written only once.
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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