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powers of 2 MCQ Questions for Class 10

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3 questions tagged with powers of 2.

Question 1/3 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

\(\frac{1}{640}\) का दशमलव प्रसार कितने स्थानों पर समाप्त होगा?

After how many decimal places will the decimal expansion of \(\frac{1}{640}\) terminate?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

\(640=64\cdot 10=2^6\cdot 2\cdot 5=2^7\cdot 5\).

Step 2

Why this answer is correct

The larger exponent is (7), so the decimal terminates after (7) places.

Step 3

Exam Tip

Convert the denominator directly into powers of (2) and (5). चरण 1: \(640=64\cdot 10=2^6\cdot 2\cdot 5=2^7\cdot 5\) है। चरण 2: बड़ी घात (7) है, इसलिए दशमलव (7) स्थानों पर समाप्त होगा। चरण 3: हर को सीधे (2) और (5) की घातों में बदलें।

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Question 2/3 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 19

\(\frac{16}{2^7\cdot 5^4}\) का दशमलव प्रसार कितने स्थानों पर समाप्त होगा?

After how many decimal places will the decimal expansion of \(\frac{16}{2^7\cdot 5^4}\) terminate?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(16=2^4\), so \(2^4\) cancels from the denominator.

Step 2

Why this answer is correct

The reduced denominator is \(2^3\cdot 5^4\). The larger exponent is (4), so the decimal terminates after (4) places.

Step 3

Exam Tip

Include powers hidden in the numerator during cancellation. चरण 1: \(16=2^4\), इसलिए हर से \(2^4\) कटेगा। चरण 2: सरलतम हर \(2^3\cdot 5^4\) होगा। बड़ी घात (4) है, इसलिए दशमलव (4) स्थानों पर समाप्त होगा। चरण 3: अंश में छिपी घातों को कटौती में शामिल करें।

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Question 3/3 Easy Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 19

\(\frac{7}{16}\) का दशमलव विस्तार अधिकतम कितने दशमलव स्थानों के बाद समाप्त होगा?

After at most how many decimal places will the decimal expansion of \(\frac{7}{16}\) terminate?

Explanation opens after your attempt
Correct Answer

C. चारFour

Step 1

Concept

\(16=2^4\).

Step 2

Why this answer is correct

To make the denominator a power of (10), multiply by \(5^4\), so it can terminate within four decimal places.

Step 3

Exam Tip

Focus on the larger exponent of (2) and (5). चरण 1: \(16=2^4\) है। चरण 2: भाजक को \(10^4\) बनाने के लिए \(5^4\) से गुणा किया जा सकता है, इसलिए विस्तार चार स्थानों तक जा सकता है। चरण 3: (2) और (5) की सबसे बड़ी घात पर ध्यान दें।

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