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recurring-nine MCQ Questions for Class 10

recurring-nine se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with recurring-nine.

Question 1/2 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

\(0.24999\ldots\) किसके बराबर है?

What is \(0.24999\ldots\) equal to?

Explanation opens after your attempt
Correct Answer

B. (0.25)

Step 1

Concept

When (9)'s continue forever at the end, the number may equal the next terminating decimal.

Step 2

Why this answer is correct

\(0.24999\ldots=0.25\).

Step 3

Exam Tip

Convert infinite repeating (9)'s into the simpler terminating form. चरण 1: अंत में लगातार (9) आने पर संख्या अगले सांत दशमलव के बराबर हो सकती है। चरण 2: \(0.24999\ldots=0.25\) है। चरण 3: ऐसे दशमलवों में (9) की अनंत पुनरावृत्ति को साधारण सांत रूप में बदलें।

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Question 2/2 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

\(0.0999\ldots\) के बारे में सही कथन कौन-सा है?

Which statement is correct about \(0.0999\ldots\)?

Explanation opens after your attempt
Correct Answer

A. यह \(\frac{1}{10}\) के बराबर हैIt is equal to \(\frac{1}{10}\)

Step 1

Concept

\(0.0999\ldots=0.1\).

Step 2

Why this answer is correct

\(0.1=\frac{1}{10}\), so it is rational and equal to a terminating decimal.

Step 3

Exam Tip

When (9)'s continue at the end, check for an equivalent terminating decimal. चरण 1: \(0.0999\ldots=0.1\) होता है। चरण 2: \(0.1=\frac{1}{10}\), इसलिए यह परिमेय और सांत दशमलव के बराबर है। चरण 3: अंत में लगातार (9) आने पर बराबर सांत दशमलव की संभावना देखें।

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