Concept-wise Practice

powers-of-ten MCQ Questions for Class 10

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

Practice Questions

4 questions tagged with powers-of-ten.

यदि \(10^{-3}\times N=0.45\), तो (N) का मान क्या है?

If \(10^{-3}\times N=0.45\), what is the value of (N)?

Explanation opens after your attempt
Correct Answer

A. (,450,)

Step 1

Concept

\(N=\dfrac{0.45}{10^{-3}}=0.45\times 10^3=450\). In exams, dividing by \(10^{-3}\) is like multiplying by \(10^3\).

Step 2

Why this answer is correct

The correct answer is A. (,450,). \(N=\dfrac{0.45}{10^{-3}}=0.45\times 10^3=450\). In exams, dividing by \(10^{-3}\) is like multiplying by \(10^3\).

Step 3

Exam Tip

\(N=\dfrac{0.45}{10^{-3}}=0.45\times 10^3=450\)। परीक्षा में \(10^{-3}\) से भाग देना \(10^3\) से गुणा करने जैसा है।

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\(\dfrac{10^5-10^4}{9\times 10^3}\) का मान क्या है?

What is the value of \(\dfrac{10^5-10^4}{9\times 10^3}\)?

Explanation opens after your attempt
Correct Answer

A. (,10,)

Step 1

Concept

Taking \(10^4\) common in the numerator gives \(\dfrac{10^4(10-1)}{9\times 10^3}=10\). In exams, taking a common factor makes calculation easier.

Step 2

Why this answer is correct

The correct answer is A. (,10,). Taking \(10^4\) common in the numerator gives \(\dfrac{10^4(10-1)}{9\times 10^3}=10\). In exams, taking a common factor makes calculation easier.

Step 3

Exam Tip

ऊपर \(10^4\) common लेने पर \(\dfrac{10^4(10-1)}{9\times 10^3}=10\) मिलता है। परीक्षा में common factor लेने से गणना आसान होती है।

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(\dfrac{\(10^3\)2}{10^{-2}}) का सरल रूप क्या होगा?

What is the simplified form of (\dfrac{\(10^3\)2}{10^{-2}})?

Explanation opens after your attempt
Correct Answer

A. \(,10^8,\)

Step 1

Concept

(\(10^3\)2=106) and \(\dfrac{10^6}{10^{-2}}=10^{6-(-2)}=10^8\). In exams, be careful while subtracting a negative exponent.

Step 2

Why this answer is correct

The correct answer is A. \(,10^8,\). (\(10^3\)2=106) and \(\dfrac{10^6}{10^{-2}}=10^{6-(-2)}=10^8\). In exams, be careful while subtracting a negative exponent.

Step 3

Exam Tip

(\(10^3\)2=106) और \(\dfrac{10^6}{10^{-2}}=10^{6-(-2)}=10^8\)। परीक्षा में negative exponent को घटाते समय सावधान रहें।

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यदि \(\frac{p}{q}\) सबसे सरल रूप में है और \(q=2^4\times5^4\), तो दशमलव प्रसार किस स्थान पर समाप्त होगा?

If \(\frac{p}{q}\) is in lowest form and \(q=2^4\times5^4\), at which decimal place will the expansion terminate?

Explanation opens after your attempt
Correct Answer

B. चौथे स्थान परAt the fourth place

Step 1

Concept

The denominator (24\times54=\(2\times5\)4=104).

Step 2

Why this answer is correct

So the decimal terminates after (4) places.

Step 3

Exam Tip

Exam tip: Equal powers of (2) and (5) directly form a power of (10). चरण 1: हर (24\times54=\(2\times5\)4=104) है। चरण 2: इसलिए दशमलव (4) स्थानों पर समाप्त होगा। चरण 3: परीक्षा सुझाव: बराबर घातों में हर सीधे (10) की घात बन जाता है।

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