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exponent rule MCQ Questions for Class 10

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Practice Questions

2 questions tagged with exponent rule.

Question 1/2 Medium Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

\(\frac{7}{2^2\times5^4}\) का दशमलव प्रसार कितने स्थानों पर समाप्त होगा?

After how many places will the decimal expansion of \(\frac{7}{2^2\times5^4}\) terminate?

Explanation opens after your attempt
Correct Answer

B. (4) स्थान(4) places

Step 1

Concept

The denominator has exponent (2) for (2) and exponent (4) for (5).

Step 2

Why this answer is correct

The larger exponent is (4).

Step 3

Exam Tip

So the decimal terminates after (4) places. चरण 1: हर में (2) की घात (2) और (5) की घात (4) है। चरण 2: बड़ी घात (4) है। चरण 3: इसलिए दशमलव (4) स्थानों पर समाप्त होगा।

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Question 2/2 Medium Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 20

\(\frac{3}{2^4\times5}\) का दशमलव प्रसार कितने दशमलव स्थानों पर समाप्त होगा?

After how many decimal places will the decimal expansion of \(\frac{3}{2^4\times5}\) terminate?

Explanation opens after your attempt
Correct Answer

C. (4) स्थान(4) places

Step 1

Concept

The denominator has exponent (4) for (2) and exponent (1) for (5).

Step 2

Why this answer is correct

The larger exponent is (4), so the decimal terminates after (4) places.

Step 3

Exam Tip

Do not add the exponents; take the larger one. चरण 1: हर में (2) की घात (4) और (5) की घात (1) है। चरण 2: बड़ी घात (4) है, इसलिए दशमलव (4) स्थानों पर समाप्त होगा। चरण 3: दोनों घातों को जोड़ना नहीं, बड़ी घात लेनी है।

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