कौन सा विकल्प संख्या रेखा पर \( \sqrt{0.0225} \) का सही मान देता है?
Which option gives the correct value of \( \sqrt{0.0225} \) on the number line?
#number-line
#small-decimal-root
#place-value
A (0.15)
B (1.5)
C (0.015)
D (0.225)
Explanation opens after your attempt
Step 1
Concept
\(0.15^2=0.0225\), so the square root is (0.15). Counting decimal places is important.
Step 2
Why this answer is correct
The correct answer is A. (0.15). \(0.15^2=0.0225\), so the square root is (0.15). Counting decimal places is important.
Step 3
Exam Tip
\(0.15^2=0.0225\), इसलिए वर्गमूल (0.15) है। दशमलव स्थानों को गिनना जरूरी है।
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कौन सा विकल्प संख्या रेखा पर \( \sqrt{0.0144} \) का सही मान देता है?
Which option gives the correct value of \( \sqrt{0.0144} \) on the number line?
#number-line
#small-decimal-root
#place-value
A (0.12)
B (1.2)
C (0.012)
D (0.144)
Explanation opens after your attempt
Step 1
Concept
\(0.12^2=0.0144\), so the square root is (0.12). Counting decimal places is important.
Step 2
Why this answer is correct
The correct answer is A. (0.12). \(0.12^2=0.0144\), so the square root is (0.12). Counting decimal places is important.
Step 3
Exam Tip
\(0.12^2=0.0144\), इसलिए वर्गमूल (0.12) है। दशमलव स्थानों को गिनना जरूरी है।
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कौन सा विकल्प संख्या रेखा पर \( \sqrt{0.0081} \) का सही मान देता है?
Which option gives the correct value of \( \sqrt{0.0081} \) on the number line?
#number-line
#small-decimal-root
#place-value
A (0.09)
B (0.9)
C (0.009)
D (0.81)
Explanation opens after your attempt
Step 1
Concept
\(0.09^2=0.0081\), so the square root is (0.09). Count decimal places carefully.
Step 2
Why this answer is correct
The correct answer is A. (0.09). \(0.09^2=0.0081\), so the square root is (0.09). Count decimal places carefully.
Step 3
Exam Tip
\(0.09^2=0.0081\) इसलिए वर्गमूल (0.09) है। दशमलव स्थानों को ध्यान से गिनें।
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संख्या रेखा पर (1.05), (1.5), और (1.005) में सबसे बाईं ओर कौन होगा?
On the number line, which among (1.05), (1.5), and (1.005) will be farthest left?
#number-line
#decimals
#least-value
#place-value
A (1.05)
B (1.5)
C (1.005)
D तीनों समान हैं / All three are equal
Explanation opens after your attempt
Correct Answer
C. (1.005)
Step 1
Concept
The smallest value is (1.005), so it is farthest left. Read zeros in decimals carefully.
Step 2
Why this answer is correct
The correct answer is C. (1.005). The smallest value is (1.005), so it is farthest left. Read zeros in decimals carefully.
Step 3
Exam Tip
सबसे छोटा मान (1.005) है इसलिए यह सबसे बाईं ओर होगा। दशमलव में शून्य को सही स्थान पर पढ़ें।
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संख्या रेखा पर (2.01) और (2.10) में कौन-सा बिंदु दाईं ओर है?
On the number line, which point is to the right between (2.01) and (2.10)?
#decimal-comparison
#number-line
#place-value
A (2.10)
B (2.01)
C (2.00)
D (-2.10)
Explanation opens after your attempt
Step 1
Concept
(2.10=2.1) and (2.1>2.01), so (2.10) is to the right. Read decimal place values carefully.
Step 2
Why this answer is correct
The correct answer is A. (2.10). (2.10=2.1) and (2.1>2.01), so (2.10) is to the right. Read decimal place values carefully.
Step 3
Exam Tip
(2.10=2.1) और (2.1>2.01), इसलिए (2.10) दाईं ओर है। दशमलव में स्थान मान ठीक से देखें।
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कौन सा विकल्प (0.0125) के सरल भिन्न रूप को सही दिखाता है?
Which option correctly shows the simplest fraction form of (0.0125)?
#decimal-to-fraction
#simplest-form
#place-value
A \(\frac{1}{80}\)
B \(\frac{1}{8}\)
C \(\frac{5}{40}\)
D \(\frac{1}{125}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{80}\)
Step 1
Concept
\(0.0125=\frac{125}{10000}\).
Step 2
Why this answer is correct
Simplifying by (125), we get \(\frac{1}{80}\).
Step 3
Exam Tip
Exam tip: Count zeros very carefully in small decimals. चरण 1: \(0.0125=\frac{125}{10000}\) है। चरण 2: \(\frac{125}{10000}\) को (125) से सरल करने पर \(\frac{1}{80}\) मिलता है। चरण 3: परीक्षा सुझाव: छोटे दशमलव में शून्यों की गिनती बहुत सावधानी से करें।
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किस दशमलव का सरल भिन्न रूप \(\frac{7}{20}\) है?
Which decimal has \(\frac{7}{20}\) as its simplest fraction form?
#fraction-to-decimal
#terminating
#place-value
A (0.35)
B (0.7)
C (0.27)
D (0.75)
Explanation opens after your attempt
Step 1
Concept
Multiply denominator (20) by (5) to make (100).
Step 2
Why this answer is correct
\(\frac{7}{20}=\frac{35}{100}=0.35\).
Step 3
Exam Tip
Exam tip: With denominator (20), make (100) for a quick answer. चरण 1: \(\frac{7}{20}\) में हर (20) को (100) बनाने के लिए (5) से गुणा करें। चरण 2: \(\frac{7}{20}=\frac{35}{100}=0.35\) है। चरण 3: परीक्षा सुझाव: हर (20) हो तो (100) बनाकर उत्तर जल्दी मिलता है।
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कौन सा विकल्प \(\frac{7}{80}\) के सही दशमलव प्रसार को दिखाता है?
Which option shows the correct decimal expansion of \(\frac{7}{80}\)?
#fraction-to-decimal
#place-value
#terminating
A (0.0875)
B (0.875)
C (0.00875)
D (0.0785)
Explanation opens after your attempt
Correct Answer
A. (0.0875)
Step 1
Concept
\(80\times125=10000\).
Step 2
Why this answer is correct
\(\frac{7}{80}=\frac{875}{10000}=0.0875\).
Step 3
Exam Tip
Exam tip: Missing the zero after the decimal point changes the answer. चरण 1: \(80\times125=10000\) है। चरण 2: \(\frac{7}{80}=\frac{875}{10000}=0.0875\) है। चरण 3: परीक्षा सुझाव: दशमलव से पहले आने वाले शून्य को छोड़ना उत्तर बदल देता है।
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\(\frac{3}{40}\) का दशमलव रूप क्या होगा?
What will be the decimal form of \(\frac{3}{40}\)?
#fraction-to-decimal
#place-value
#terminating
A (0.75)
B (0.075)
C (0.0075)
D (0.375)
Explanation opens after your attempt
Correct Answer
B. (0.075)
Step 1
Concept
\(40\times25=1000\).
Step 2
Why this answer is correct
\(\frac{3}{40}=\frac{75}{1000}=0.075\).
Step 3
Exam Tip
Exam tip: A small numerator may lead to zeros after the decimal point. चरण 1: \(40\times25=1000\) है। चरण 2: \(\frac{3}{40}=\frac{75}{1000}=0.075\) है। चरण 3: परीक्षा सुझाव: अंश छोटा हो तो दशमलव में आगे शून्य आ सकता है।
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(0.2) को भिन्न रूप में लिखिए।
Write (0.2) in fraction form.
#decimal-to-fraction
#place-value
#easy
A \(\frac{1}{2}\)
B \(\frac{1}{5}\)
C \(\frac{2}{5}\)
D \(\frac{5}{2}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{5}\)
Step 1
Concept
\(0.2=\frac{2}{10}\).
Step 2
Why this answer is correct
Simplifying \(\frac{2}{10}\) gives \(\frac{1}{5}\).
Step 3
Exam Tip
Exam tip: For one decimal place, start with denominator (10). चरण 1: \(0.2=\frac{2}{10}\) है। चरण 2: \(\frac{2}{10}\) को सरल करने पर \(\frac{1}{5}\) मिलता है। चरण 3: परीक्षा सुझाव: एक दशमलव स्थान हो तो पहले हर (10) लें।
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\(\frac{4}{625}\) का सही दशमलव रूप चुनिए।
Choose the correct decimal form of \(\frac{4}{625}\).
#decimal-conversion
#place-value
#terminating
A (0.064)
B (0.0064)
C (0.00064)
D (0.64)
Explanation opens after your attempt
Correct Answer
B. (0.0064)
Step 1
Concept
\(625\times16=10000\).
Step 2
Why this answer is correct
\(\frac{4}{625}=\frac{64}{10000}=0.0064\).
Step 3
Exam Tip
Exam tip: Count zeros carefully while placing the decimal point. चरण 1: \(625\times16=10000\) है। चरण 2: \(\frac{4}{625}=\frac{64}{10000}=0.0064\) है। चरण 3: परीक्षा सुझाव: शून्यों की संख्या गिनते समय जल्दबाजी न करें।
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\(\frac{2}{25}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{2}{25}\)?
#fraction-to-decimal
#place-value
#easy
A (0.08)
B (0.8)
C (0.02)
D (0.25)
Explanation opens after your attempt
Step 1
Concept
Multiply denominator (25) by (4) to make (100).
Step 2
Why this answer is correct
\(\frac{2}{25}=\frac{8}{100}=0.08\).
Step 3
Exam Tip
Exam tip: Make the denominator (10), (100), or (1000) for quick conversion. चरण 1: हर (25) को (100) बनाने के लिए (4) से गुणा करें। चरण 2: \(\frac{2}{25}=\frac{8}{100}=0.08\) है। चरण 3: परीक्षा सुझाव: हर (10), (100), (1000) बनाने से गणना तेज होती है।
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