Expert Mathematics Polynomials Class 10 Level 27

यदि \(\frac{231}{2\cdot3\cdot5^2\cdot7\cdot11}\) को सरलतम रूप में लिखा जाए, तो दशमलव प्रसार कैसा होगा?

If \(\frac{231}{2\cdot3\cdot5^2\cdot7\cdot11}\) is written in lowest form, what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

A. समाप्तTerminating

Step 1

Concept

After cancelling \(231=3\cdot7\cdot11\), the denominator left is \(2\cdot5^2\). Therefore the decimal terminates.

Step 2

Why this answer is correct

The correct answer is A. समाप्त / Terminating. After cancelling \(231=3\cdot7\cdot11\), the denominator left is \(2\cdot5^2\). Therefore the decimal terminates.

Step 3

Exam Tip

\(231=3\cdot7\cdot11\) कटने के बाद हर में \(2\cdot5^2\) बचता है। इसलिए दशमलव समाप्त होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\frac{231}{2\cdot3\cdot5^2\cdot7\cdot11}\) को सरलतम रूप में लिखा जाए, तो दशमलव प्रसार कैसा होगा? / If \(\frac{231}{2\cdot3\cdot5^2\cdot7\cdot11}\) is written in lowest form, what type of decimal expansion will it have?

Correct Answer: A. समाप्त / Terminating. Explanation: \(231=3\cdot7\cdot11\) कटने के बाद हर में \(2\cdot5^2\) बचता है। इसलिए दशमलव समाप्त होगा। / After cancelling \(231=3\cdot7\cdot11\), the denominator left is \(2\cdot5^2\). Therefore the decimal terminates.

Which concept should I revise for this Mathematics MCQ?

After cancelling \(231=3\cdot7\cdot11\), the denominator left is \(2\cdot5^2\). Therefore the decimal terminates.

What exam hint can help solve this Mathematics question?

\(231=3\cdot7\cdot11\) कटने के बाद हर में \(2\cdot5^2\) बचता है। इसलिए दशमलव समाप्त होगा।

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