Medium Mathematics Real Numbers Class 10 Level 21

\(\frac{45}{360}\) को सरल करने के बाद दशमलव प्रसार कितने स्थानों पर समाप्त होगा?

After simplifying \(\frac{45}{360}\), after how many places will its decimal expansion terminate?

Explanation opens after your attempt
Correct Answer

C. (3) स्थान(3) places

Step 1

Concept

\(\frac{45}{360}=\frac{1}{8}\).

Step 2

Why this answer is correct

Since \(8=2^3\), the decimal terminates after (3) places.

Step 3

Exam Tip

Do not get confused by the original denominator (360); check the reduced denominator. चरण 1: \(\frac{45}{360}=\frac{1}{8}\) है। चरण 2: \(8=2^3\) है, इसलिए दशमलव (3) स्थानों पर समाप्त होगा। चरण 3: मूल हर (360) देखकर भ्रमित न हों, सरलतम हर देखें।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{45}{360}\) को सरल करने के बाद दशमलव प्रसार कितने स्थानों पर समाप्त होगा? / After simplifying \(\frac{45}{360}\), after how many places will its decimal expansion terminate?

Correct Answer: C. (3) स्थान / (3) places. Explanation: चरण 1: \(\frac{45}{360}=\frac{1}{8}\) है। चरण 2: \(8=2^3\) है, इसलिए दशमलव (3) स्थानों पर समाप्त होगा। चरण 3: मूल हर (360) देखकर भ्रमित न हों, सरलतम हर देखें। / Step 1: \(\frac{45}{360}=\frac{1}{8}\). Step 2: Since \(8=2^3\), the decimal terminates after (3) places. Step 3: Do not get confused by the original denominator (360); check the reduced denominator.

Which concept should I revise for this Mathematics MCQ?

\(\frac{45}{360}=\frac{1}{8}\).

What exam hint can help solve this Mathematics question?

Do not get confused by the original denominator (360); check the reduced denominator. चरण 1: \(\frac{45}{360}=\frac{1}{8}\) है। चरण 2: \(8=2^3\) है, इसलिए दशमलव (3) स्थानों पर समाप्त होगा। चरण 3: मूल हर (360) देखकर भ्रमित न हों, सरलतम हर देखें।

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