Expert Mathematics Real Numbers Class 10 Level 21

यदि सरलतम हर \(q=2^5\cdot 5^5\cdot 7^0\) है तो दशमलव प्रसार के बारे में क्या निश्चित है?

If the reduced denominator is \(q=2^5\cdot 5^5\cdot 7^0\), what is certain about the decimal expansion?

Explanation opens after your attempt
Correct Answer

A. ठीक (5) स्थानों पर समाप्तTerminates exactly after (5) places

Step 1

Concept

Since \(7^0=1\), the effective denominator is \(2^5\cdot 5^5=10^5\). The decimal terminates exactly after (5) places.

Step 2

Why this answer is correct

The correct answer is A. ठीक (5) स्थानों पर समाप्त / Terminates exactly after (5) places. Since \(7^0=1\), the effective denominator is \(2^5\cdot 5^5=10^5\). The decimal terminates exactly after (5) places.

Step 3

Exam Tip

\(7^0=1\) है इसलिए प्रभावी हर \(2^5\cdot 5^5=10^5\) है। दशमलव ठीक (5) स्थानों पर समाप्त होगा।

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यदि सरलतम हर \(q=2^5\cdot 5^5\cdot 7^0\) है तो दशमलव प्रसार के बारे में क्या निश्चित है? / If the reduced denominator is \(q=2^5\cdot 5^5\cdot 7^0\), what is certain about the decimal expansion?

Correct Answer: A. ठीक (5) स्थानों पर समाप्त / Terminates exactly after (5) places. Explanation: \(7^0=1\) है इसलिए प्रभावी हर \(2^5\cdot 5^5=10^5\) है। दशमलव ठीक (5) स्थानों पर समाप्त होगा। / Since \(7^0=1\), the effective denominator is \(2^5\cdot 5^5=10^5\). The decimal terminates exactly after (5) places.

Which concept should I revise for this Mathematics MCQ?

Since \(7^0=1\), the effective denominator is \(2^5\cdot 5^5=10^5\). The decimal terminates exactly after (5) places.

What exam hint can help solve this Mathematics question?

\(7^0=1\) है इसलिए प्रभावी हर \(2^5\cdot 5^5=10^5\) है। दशमलव ठीक (5) स्थानों पर समाप्त होगा।

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