Question 1/5
Expert Mathematics
Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21
\(0.00999\ldots\) किसके बराबर है?
What is \(0.00999\ldots\) equal to?
#repeating-nine
#terminating-equivalent
#decimal-concept
#real-numbers
A (0.009)
B (0.01)
C \(\frac{9}{999}\)
D \(\frac{99}{1000}\)
Explanation opens after your attempt
Step 1
Concept
When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.00999\ldots=0.01\).
Step 2
Why this answer is correct
The correct answer is B. (0.01). When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.00999\ldots=0.01\).
Step 3
Exam Tip
अंत में अनंत (9) आने पर संख्या अगले सांत दशमलव के बराबर होती है। इसलिए \(0.00999\ldots=0.01\)।
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Question 2/5
Expert Mathematics
Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21
\(0.46999\ldots\) किसके बराबर है?
What is \(0.46999\ldots\) equal to?
#repeating-nine
#terminating-equivalent
#decimal-concept
#real-numbers
A (0.46)
B (0.47)
C \(\frac{469}{999}\)
D \(\frac{4699}{10000}\)
Explanation opens after your attempt
Step 1
Concept
When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.46999\ldots=0.47\).
Step 2
Why this answer is correct
The correct answer is B. (0.47). When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.46999\ldots=0.47\).
Step 3
Exam Tip
अंत में अनंत (9) आने पर संख्या अगले सांत दशमलव के बराबर होती है। इसलिए \(0.46999\ldots=0.47\)।
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Question 3/5
Expert Mathematics
Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 20
\(0.37999\ldots\) किसके बराबर है?
What is \(0.37999\ldots\) equal to?
#repeating-nine
#terminating-equivalent
#decimal-concept
#real-numbers
A (0.37)
B (0.38)
C \(\frac{379}{999}\)
D \(\frac{3799}{10000}\)
Explanation opens after your attempt
Step 1
Concept
When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.37999\ldots=0.38\).
Step 2
Why this answer is correct
The correct answer is B. (0.38). When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.37999\ldots=0.38\).
Step 3
Exam Tip
अंत में अनंत (9) आने पर संख्या अगले सांत दशमलव के बराबर होती है। इसलिए \(0.37999\ldots=0.38\)।
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Question 4/5
Expert Mathematics
Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19
\(0.124999\ldots\) किसके बराबर है?
What is \(0.124999\ldots\) equal to?
#repeating-nine
#terminating-equivalent
#decimal-concept
#real-numbers
A (0.124)
B (0.125)
C \(\frac{124}{999}\)
D \(\frac{1249}{10000}\)
Explanation opens after your attempt
Correct Answer
B. (0.125)
Step 1
Concept
When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.124999\ldots=0.125\).
Step 2
Why this answer is correct
The correct answer is B. (0.125). When (9)'s continue forever at the end, the number equals the next terminating decimal. Thus \(0.124999\ldots=0.125\).
Step 3
Exam Tip
अंत में अनंत (9) होने पर संख्या अगले सांत दशमलव के बराबर होती है। इसलिए \(0.124999\ldots=0.125\)।
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Question 5/5
Hard Mathematics
Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21
\(0.24999\ldots\) किसके बराबर है?
What is \(0.24999\ldots\) equal to?
#recurring-nine
#terminating-equivalent
#decimal-concept
#real-numbers
A (0.24)
B (0.25)
C \(\frac{24}{99}\)
D \(\frac{249}{1000}\)
Explanation opens after your attempt
Step 1
Concept
When (9)'s continue forever at the end, the number may equal the next terminating decimal.
Step 2
Why this answer is correct
\(0.24999\ldots=0.25\).
Step 3
Exam Tip
Convert infinite repeating (9)'s into the simpler terminating form. चरण 1: अंत में लगातार (9) आने पर संख्या अगले सांत दशमलव के बराबर हो सकती है। चरण 2: \(0.24999\ldots=0.25\) है। चरण 3: ऐसे दशमलवों में (9) की अनंत पुनरावृत्ति को साधारण सांत रूप में बदलें।
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