Expert Mathematics Polynomials Class 10 Level 26

यदि \(\frac{a}{b}\) सरलतम रूप में है और \(b=2^4\cdot5^3\cdot7\), तो इसका दशमलव प्रसार कैसा होगा?

If \(\frac{a}{b}\) is in lowest form and \(b=2^4\cdot5^3\cdot7\), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

A. अनवसानी आवर्तीNon-terminating recurring

Step 1

Concept

The denominator contains (7), so the decimal will not terminate and being rational it will recur. In exams decide after checking the denominator in lowest form.

Step 2

Why this answer is correct

The correct answer is A. अनवसानी आवर्ती / Non-terminating recurring. The denominator contains (7), so the decimal will not terminate and being rational it will recur. In exams decide after checking the denominator in lowest form.

Step 3

Exam Tip

हर में (7) है, इसलिए दशमलव समाप्त नहीं होगा और परिमेय होने से आवर्ती होगा। परीक्षा में हर को सरलतम रूप में देखकर निर्णय लें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\frac{a}{b}\) सरलतम रूप में है और \(b=2^4\cdot5^3\cdot7\), तो इसका दशमलव प्रसार कैसा होगा? / If \(\frac{a}{b}\) is in lowest form and \(b=2^4\cdot5^3\cdot7\), what type of decimal expansion will it have?

Correct Answer: A. अनवसानी आवर्ती / Non-terminating recurring. Explanation: हर में (7) है, इसलिए दशमलव समाप्त नहीं होगा और परिमेय होने से आवर्ती होगा। परीक्षा में हर को सरलतम रूप में देखकर निर्णय लें। / The denominator contains (7), so the decimal will not terminate and being rational it will recur. In exams decide after checking the denominator in lowest form.

Which concept should I revise for this Mathematics MCQ?

The denominator contains (7), so the decimal will not terminate and being rational it will recur. In exams decide after checking the denominator in lowest form.

What exam hint can help solve this Mathematics question?

हर में (7) है, इसलिए दशमलव समाप्त नहीं होगा और परिमेय होने से आवर्ती होगा। परीक्षा में हर को सरलतम रूप में देखकर निर्णय लें।

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