MP Board · Class 10 · Mathematics · Real NumbersWhich of the following rational numbers has a non-terminating repeating decimal expansion?
📊Student Analytics & Stats
Total Attempts: 7
Accuracy Rate: 57.1%
Step-by-Step Solution
The correct answer is D ($\frac{7}{80}$). Wait, let's check: $80 = 2^4 \times 5^1$ (terminating). Let's check another option. Let's make option B: $\frac{13}{3125}$ ($3125 = 5^5$, terminating). Let's check $\frac{64}{455}$: $455 = 5 \times 7 \times 13$ (non-terminating repeating). Let's put $\frac{64}{455}$ in the options.
Detailed Options Breakdown
Option : \(\frac{13}{3125}\)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: \(\frac{64}{455}\) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \(\frac{16}{1600}\)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: \(\frac{35}{50}\)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.