भिन्न \(\frac{1}{4}\) का दशमलव रूप क्या है?
What is the decimal form of the fraction \(\frac{1}{4}\)?
#number systems
#decimal representation
#rational numbers
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A (0.20)
B (0.25)
C (0.40)
D (0.75)
Explanation opens after your attempt
Step 1
Concept
\(\frac{1}{4}=0.25\) because \(1\div4=0.25\). Exam tip: remember decimals of simple fractions.
Step 2
Why this answer is correct
The correct answer is B. (0.25). \(\frac{1}{4}=0.25\) because \(1\div4=0.25\). Exam tip: remember decimals of simple fractions.
Step 3
Exam Tip
\(\frac{1}{4}=0.25\) क्योंकि \(1\div4=0.25\)। परीक्षा में सरल भिन्नों के दशमलव याद रखें।
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दशमलव (0.5) को भिन्न में बदलने पर क्या मिलेगा?
What do we get when decimal (0.5) is converted into a fraction?
#number systems
#decimal to fraction
#terminating decimal
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A \(\frac{1}{5}\)
B \(\frac{5}{10}\)
C \(\frac{5}{100}\)
D \(\frac{10}{5}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{5}{10}\)
Step 1
Concept
\(0.5=\frac{5}{10}=\frac{1}{2}\). Exam tip: use (10) or (100) in the denominator according to decimal places.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{5}{10}\). \(0.5=\frac{5}{10}=\frac{1}{2}\). Exam tip: use (10) or (100) in the denominator according to decimal places.
Step 3
Exam Tip
\(0.5=\frac{5}{10}=\frac{1}{2}\)। परीक्षा में दशमलव स्थान देखकर हर में (10) या (100) लिखें।
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कौन-सा दशमलव सांत दशमलव है?
Which decimal is a terminating decimal?
#number systems
#terminating decimal
#decimal representation
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A \(0.333\ldots\)
B \(1.414213\ldots\)
C (2.75)
D \(0.121121112\ldots\)
Explanation opens after your attempt
Step 1
Concept
The digits in (2.75) end so it is terminating. Exam tip: a terminating decimal has a finite number of digits.
Step 2
Why this answer is correct
The correct answer is C. (2.75). The digits in (2.75) end so it is terminating. Exam tip: a terminating decimal has a finite number of digits.
Step 3
Exam Tip
(2.75) के बाद अंक समाप्त हो जाते हैं इसलिए यह सांत है। परीक्षा में सांत दशमलव में अंकों की संख्या सीमित होती है।
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कौन-सा दशमलव असांत आवर्ती है?
Which decimal is non-terminating recurring?
#number systems
#recurring decimal
#rational numbers
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A \(0.777\ldots\)
B (0.125)
C (3.14)
D \(1.020020002\ldots\)
Explanation opens after your attempt
Correct Answer
A. \(0.777\ldots\)
Step 1
Concept
In \(0.777\ldots\), (7) repeats so it is non-terminating recurring. Exam tip: identify the repeating digit or group.
Step 2
Why this answer is correct
The correct answer is A. \(0.777\ldots\). In \(0.777\ldots\), (7) repeats so it is non-terminating recurring. Exam tip: identify the repeating digit or group.
Step 3
Exam Tip
\(0.777\ldots\) में (7) बार-बार आता है इसलिए यह असांत आवर्ती है। परीक्षा में दोहराने वाला अंक या समूह पहचानें।
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दशमलव \(0.\overline{6}\) किस भिन्न के बराबर है?
The decimal \(0.\overline{6}\) is equal to which fraction?
#number systems
#bar notation
#recurring decimal
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A \(\frac{1}{6}\)
B \(\frac{2}{3}\)
C \(\frac{3}{5}\)
D \(\frac{6}{100}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{2}{3}\)
Step 1
Concept
\(0.\overline{6}=\frac{6}{9}=\frac{2}{3}\). Exam tip: for one repeating digit use denominator (9).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{2}{3}\). \(0.\overline{6}=\frac{6}{9}=\frac{2}{3}\). Exam tip: for one repeating digit use denominator (9).
Step 3
Exam Tip
\(0.\overline{6}=\frac{6}{9}=\frac{2}{3}\)। परीक्षा में एक आवर्ती अंक के लिए हर (9) लें।
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भिन्न \(\frac{3}{8}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{3}{8}\)?
#number systems
#fraction to decimal
#terminating decimal
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A (0.375)
B (0.38)
C (0.625)
D (3.8)
Explanation opens after your attempt
Correct Answer
A. (0.375)
Step 1
Concept
\(\frac{3}{8}=3\div8=0.375\). Exam tip: use division to find the decimal form.
Step 2
Why this answer is correct
The correct answer is A. (0.375). \(\frac{3}{8}=3\div8=0.375\). Exam tip: use division to find the decimal form.
Step 3
Exam Tip
\(\frac{3}{8}=3\div8=0.375\)। परीक्षा में भाग विधि से दशमलव निकाला जा सकता है।
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किस भिन्न का दशमलव विस्तार सांत होगा?
Which fraction will have a terminating decimal expansion?
#number systems
#terminating test
#prime factors
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A \(\frac{7}{3}\)
B \(\frac{5}{6}\)
C \(\frac{9}{14}\)
D \(\frac{11}{40}\)
Explanation opens after your attempt
Correct Answer
D. \(\frac{11}{40}\)
Step 1
Concept
In \(\frac{11}{40}\), the denominator \(40=2^3\times5\), so the decimal is terminating. Exam tip: check whether the denominator has only (2) and (5) as prime factors.
Step 2
Why this answer is correct
The correct answer is D. \(\frac{11}{40}\). In \(\frac{11}{40}\), the denominator \(40=2^3\times5\), so the decimal is terminating. Exam tip: check whether the denominator has only (2) and (5) as prime factors.
Step 3
Exam Tip
\(\frac{11}{40}\) में हर \(40=2^3\times5\) है इसलिए दशमलव सांत होगा। परीक्षा में हर के अभाज्य गुणनखंड केवल (2) और (5) देखें।
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दशमलव (0.125) को सरलतम भिन्न में बदलने पर क्या मिलेगा?
What is (0.125) as a fraction in simplest form?
#number systems
#decimal to fraction
#simplification
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A \(\frac{1}{4}\)
B \(\frac{1}{8}\)
C \(\frac{125}{10}\)
D \(\frac{5}{8}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{8}\)
Step 1
Concept
\(0.125=\frac{125}{1000}=\frac{1}{8}\). Exam tip: first write denominator (1000), then simplify.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{8}\). \(0.125=\frac{125}{1000}=\frac{1}{8}\). Exam tip: first write denominator (1000), then simplify.
Step 3
Exam Tip
\(0.125=\frac{125}{1000}=\frac{1}{8}\)। परीक्षा में पहले हर (1000) लें फिर सरल करें।
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दशमलव (3.04) में (4) का स्थानीय मान क्या है?
What is the place value of (4) in (3.04)?
#number systems
#place value
#decimal representation
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A (4)
B \(\frac{4}{10}\)
C \(\frac{4}{100}\)
D \(\frac{4}{1000}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{4}{100}\)
Step 1
Concept
(4) is in the hundredths place, so its place value is \(\frac{4}{100}\). Exam tip: after the decimal point, the first place is tenths and the second is hundredths.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{4}{100}\). (4) is in the hundredths place, so its place value is \(\frac{4}{100}\). Exam tip: after the decimal point, the first place is tenths and the second is hundredths.
Step 3
Exam Tip
(4) सौवें स्थान पर है इसलिए स्थानीय मान \(\frac{4}{100}\) है। परीक्षा में दशमलव के बाद पहला दसवां और दूसरा सौवां स्थान होता है।
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संख्या (5.2) को \(\frac{p}{q}\) रूप में लिखने पर सरलतम रूप क्या है?
What is the simplest \(\frac{p}{q}\) form of (5.2)?
#number systems
#rational form
#decimal to fraction
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A \(\frac{26}{5}\)
B \(\frac{52}{5}\)
C \(\frac{5}{2}\)
D \(\frac{52}{100}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{26}{5}\)
Step 1
Concept
\(5.2=\frac{52}{10}=\frac{26}{5}\). Exam tip: remove the decimal and put (10) in the denominator.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{26}{5}\). \(5.2=\frac{52}{10}=\frac{26}{5}\). Exam tip: remove the decimal and put (10) in the denominator.
Step 3
Exam Tip
\(5.2=\frac{52}{10}=\frac{26}{5}\)। परीक्षा में दशमलव हटाकर हर में (10) रखें।
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कौन-सा विकल्प (0.04) के बराबर है?
Which option is equal to (0.04)?
#number systems
#decimal value
#hundredths
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A \(\frac{4}{10}\)
B \(\frac{4}{100}\)
C \(\frac{40}{10}\)
D \(\frac{1}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{4}{100}\)
Step 1
Concept
In (0.04), (4) is in the hundredths place, so \(0.04=\frac{4}{100}\). Exam tip: do not ignore zeros.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{4}{100}\). In (0.04), (4) is in the hundredths place, so \(0.04=\frac{4}{100}\). Exam tip: do not ignore zeros.
Step 3
Exam Tip
(0.04) में (4) सौवें स्थान पर है इसलिए \(0.04=\frac{4}{100}\)। परीक्षा में शून्य को नजरअंदाज न करें।
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दशमलव (2.305) में (0) किस स्थान पर है?
In the decimal (2.305), at which place is (0)?
#number systems
#place value
#decimal places
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A दसवां / Tenths
B सौवां / Hundredths
C हजारवां / Thousandths
D इकाई / Ones
Explanation opens after your attempt
Correct Answer
B. सौवां / Hundredths
Step 1
Concept
In (2.305), (0) is at the second place after the decimal point. Exam tip: the second decimal place is hundredths.
Step 2
Why this answer is correct
The correct answer is B. सौवां / Hundredths. In (2.305), (0) is at the second place after the decimal point. Exam tip: the second decimal place is hundredths.
Step 3
Exam Tip
(2.305) में (0) दशमलव के बाद दूसरे स्थान पर है। परीक्षा में दूसरा स्थान सौवां होता है।
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भिन्न \(\frac{7}{10}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{7}{10}\)?
#number systems
#tenths
#fraction to decimal
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A (0.07)
B (7.10)
C (0.7)
D (70.0)
Explanation opens after your attempt
Step 1
Concept
\(\frac{7}{10}=0.7\) because the denominator is (10). Exam tip: denominator (10) gives one decimal place.
Step 2
Why this answer is correct
The correct answer is C. (0.7). \(\frac{7}{10}=0.7\) because the denominator is (10). Exam tip: denominator (10) gives one decimal place.
Step 3
Exam Tip
\(\frac{7}{10}=0.7\) क्योंकि हर (10) है। परीक्षा में हर (10) हो तो एक दशमलव स्थान रखें।
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कौन-सा दशमलव (0.6) के बराबर है?
Which decimal is equal to (0.6)?
#number systems
#equivalent decimals
#decimal zeros
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A (0.06)
B (0.60)
C (6.0)
D (0.006)
Explanation opens after your attempt
Step 1
Concept
(0.6=0.60) because a zero at the end does not change the value. Exam tip: trailing zeros after decimals may be removed.
Step 2
Why this answer is correct
The correct answer is B. (0.60). (0.6=0.60) because a zero at the end does not change the value. Exam tip: trailing zeros after decimals may be removed.
Step 3
Exam Tip
(0.6=0.60) क्योंकि अंत में लगा शून्य मान नहीं बदलता। परीक्षा में दशमलव के अंत के शून्य हटाए जा सकते हैं।
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दशमलव \(0.\overline{2}\) को भिन्न में बदलने पर क्या मिलेगा?
What fraction is equal to \(0.\overline{2}\)?
#number systems
#recurring decimal
#fraction form
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A \(\frac{2}{9}\)
B \(\frac{2}{10}\)
C \(\frac{1}{2}\)
D \(\frac{9}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{2}{9}\)
Step 1
Concept
\(0.\overline{2}=\frac{2}{9}\). Exam tip: divide one repeating digit by (9).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{2}{9}\). \(0.\overline{2}=\frac{2}{9}\). Exam tip: divide one repeating digit by (9).
Step 3
Exam Tip
\(0.\overline{2}=\frac{2}{9}\)। परीक्षा में एक दोहराते अंक को (9) से भाग दें।
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कौन-सा दशमलव (1) से छोटा और (0) से बड़ा है?
Which decimal is less than (1) and greater than (0)?
#number systems
#compare decimals
#decimal representation
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A (1.25)
B (0.89)
C (1.00)
D (2.09)
Explanation opens after your attempt
Step 1
Concept
(0.89) is greater than zero and less than (1). Exam tip: compare the whole number part first.
Step 2
Why this answer is correct
The correct answer is B. (0.89). (0.89) is greater than zero and less than (1). Exam tip: compare the whole number part first.
Step 3
Exam Tip
(0.89) शून्य से बड़ा और (1) से छोटा है। परीक्षा में पूर्णांक भाग देखकर जल्दी तुलना करें।
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भिन्न \(\frac{9}{20}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{9}{20}\)?
#number systems
#fraction to decimal
#terminating decimal
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A (0.09)
B (0.20)
C (0.45)
D (0.95)
Explanation opens after your attempt
Step 1
Concept
\(\frac{9}{20}=\frac{45}{100}=0.45\). Exam tip: try to convert the denominator to (100).
Step 2
Why this answer is correct
The correct answer is C. (0.45). \(\frac{9}{20}=\frac{45}{100}=0.45\). Exam tip: try to convert the denominator to (100).
Step 3
Exam Tip
\(\frac{9}{20}=\frac{45}{100}=0.45\)। परीक्षा में हर को (100) बनाने की कोशिश करें।
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किस संख्या का दशमलव विस्तार (4.000) के बराबर है?
Which number is equal to the decimal expansion (4.000)?
#number systems
#decimal zeros
#integer decimal
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A (0.4)
B (4)
C (40)
D (0.004)
Explanation opens after your attempt
Step 1
Concept
(4.000=4) because only zeros appear after the decimal point. Exam tip: such zeros do not change the value.
Step 2
Why this answer is correct
The correct answer is B. (4). (4.000=4) because only zeros appear after the decimal point. Exam tip: such zeros do not change the value.
Step 3
Exam Tip
(4.000=4) क्योंकि दशमलव के बाद केवल शून्य हैं। परीक्षा में ऐसे शून्य संख्या का मान नहीं बदलते।
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कौन-सा दशमलव परिमेय संख्या है?
Which decimal is a rational number?
#number systems
#rational decimal
#recurring decimal
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A \(0.1010010001\ldots\)
B \(2.2360679\ldots\) बिना आवर्तन / \(2.2360679\ldots\) without repetition
C \(0.\overline{45}\)
D \(3.14159265\ldots\) बिना आवर्तन / \(3.14159265\ldots\) without repetition
Explanation opens after your attempt
Correct Answer
C. \(0.\overline{45}\)
Step 1
Concept
\(0.\overline{45}\) is non-terminating recurring, so it is rational. Exam tip: terminating or recurring decimals are rational.
Step 2
Why this answer is correct
The correct answer is C. \(0.\overline{45}\). \(0.\overline{45}\) is non-terminating recurring, so it is rational. Exam tip: terminating or recurring decimals are rational.
Step 3
Exam Tip
\(0.\overline{45}\) असांत आवर्ती है इसलिए परिमेय है। परीक्षा में सांत या आवर्ती दशमलव परिमेय होते हैं।
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दशमलव (0.09) को भिन्न में बदलने पर क्या मिलेगा?
What is the fraction form of (0.09)?
#number systems
#decimal to fraction
#hundredths
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A \(\frac{9}{10}\)
B \(\frac{9}{100}\)
C \(\frac{90}{100}\)
D \(\frac{1}{9}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{9}{100}\)
Step 1
Concept
\(0.09=\frac{9}{100}\) because it has two decimal places. Exam tip: count decimal places carefully after (0).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{9}{100}\). \(0.09=\frac{9}{100}\) because it has two decimal places. Exam tip: count decimal places carefully after (0).
Step 3
Exam Tip
\(0.09=\frac{9}{100}\) क्योंकि दो दशमलव स्थान हैं। परीक्षा में (0) के बाद के स्थानों को ध्यान से गिनें।
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कौन-सा भिन्न असांत आवर्ती दशमलव देगा?
Which fraction gives a non-terminating recurring decimal?
#number systems
#non terminating recurring
#prime factors
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A \(\frac{3}{5}\)
B \(\frac{7}{8}\)
C \(\frac{1}{6}\)
D \(\frac{11}{25}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{1}{6}\)
Step 1
Concept
The denominator of \(\frac{1}{6}\) has (3), so the decimal is non-terminating recurring. Exam tip: look for factors other than (2) and (5).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{1}{6}\). The denominator of \(\frac{1}{6}\) has (3), so the decimal is non-terminating recurring. Exam tip: look for factors other than (2) and (5).
Step 3
Exam Tip
\(\frac{1}{6}\) के हर में (3) भी है इसलिए दशमलव असांत आवर्ती होगा। परीक्षा में (2) और (5) के अलावा गुणनखंड देखें।
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दशमलव (7.08) में (8) का स्थानीय मान क्या है?
What is the place value of (8) in (7.08)?
#number systems
#place value
#hundredths
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A \(\frac{8}{10}\)
B \(\frac{8}{100}\)
C \(\frac{8}{1000}\)
D (8)
Explanation opens after your attempt
Correct Answer
B. \(\frac{8}{100}\)
Step 1
Concept
(8) is in the hundredths place, so its place value is \(\frac{8}{100}\). Exam tip: the middle (0) changes the place.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{8}{100}\). (8) is in the hundredths place, so its place value is \(\frac{8}{100}\). Exam tip: the middle (0) changes the place.
Step 3
Exam Tip
(8) सौवें स्थान पर है इसलिए स्थानीय मान \(\frac{8}{100}\) है। परीक्षा में बीच का (0) स्थान बदल देता है।
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कौन-सा दशमलव (0.3) से बड़ा है?
Which decimal is greater than (0.3)?
#number systems
#compare decimals
#decimal order
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A (0.03)
B (0.29)
C (0.300)
D (0.31)
Explanation opens after your attempt
Step 1
Concept
(0.31) is greater than (0.30). Exam tip: write (0.3) as (0.30) to compare.
Step 2
Why this answer is correct
The correct answer is D. (0.31). (0.31) is greater than (0.30). Exam tip: write (0.3) as (0.30) to compare.
Step 3
Exam Tip
(0.31) का मान (0.30) से बड़ा है। परीक्षा में (0.3) को (0.30) लिखकर तुलना करें।
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भिन्न \(\frac{13}{100}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{13}{100}\)?
#number systems
#fraction to decimal
#hundredths
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A (0.13)
B (1.3)
C (13.00)
D (0.013)
Explanation opens after your attempt
Step 1
Concept
\(\frac{13}{100}=0.13\) because the denominator is (100). Exam tip: denominator (100) gives two decimal places.
Step 2
Why this answer is correct
The correct answer is A. (0.13). \(\frac{13}{100}=0.13\) because the denominator is (100). Exam tip: denominator (100) gives two decimal places.
Step 3
Exam Tip
\(\frac{13}{100}=0.13\) क्योंकि हर (100) है। परीक्षा में हर (100) हो तो दो दशमलव स्थान रखें।
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कौन-सा दशमलव (0.07) के बराबर नहीं है?
Which decimal is not equal to (0.07)?
#number systems
#equivalent decimals
#decimal place
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A (0.070)
B (0.7)
C (0.0700)
D \(\frac{7}{100}\)
Explanation opens after your attempt
Step 1
Concept
(0.7) is seven tenths, while (0.07) is seven hundredths. Exam tip: notice the position of zeros after the decimal point.
Step 2
Why this answer is correct
The correct answer is B. (0.7). (0.7) is seven tenths, while (0.07) is seven hundredths. Exam tip: notice the position of zeros after the decimal point.
Step 3
Exam Tip
(0.7) सात दसवां है जबकि (0.07) सात सौवां है। परीक्षा में दशमलव के बाद शून्य का स्थान ध्यान रखें।
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दशमलव (6.25) को मिश्रित भिन्न के रूप में कैसे लिखेंगे?
How can (6.25) be written as a mixed fraction?
#number systems
#mixed fraction
#decimal representation
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A \(6\frac{1}{4}\)
B \(6\frac{1}{2}\)
C \(6\frac{3}{4}\)
D \(6\frac{25}{10}\)
Explanation opens after your attempt
Correct Answer
A. \(6\frac{1}{4}\)
Step 1
Concept
\(0.25=\frac{1}{4}\), so \(6.25=6\frac{1}{4}\). Exam tip: first convert the decimal part into a fraction.
Step 2
Why this answer is correct
The correct answer is A. \(6\frac{1}{4}\). \(0.25=\frac{1}{4}\), so \(6.25=6\frac{1}{4}\). Exam tip: first convert the decimal part into a fraction.
Step 3
Exam Tip
\(0.25=\frac{1}{4}\) इसलिए \(6.25=6\frac{1}{4}\)। परीक्षा में दशमलव भाग को पहले भिन्न में बदलें।
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कौन-सा दशमलव (2.5) और (2.7) के बीच है?
Which decimal lies between (2.5) and (2.7)?
#number systems
#between decimals
#compare decimals
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A (2.49)
B (2.56)
C (2.75)
D (2.07)
Explanation opens after your attempt
Step 1
Concept
(2.56) is greater than (2.5) and less than (2.7). Exam tip: compare using (2.50) and (2.70).
Step 2
Why this answer is correct
The correct answer is B. (2.56). (2.56) is greater than (2.5) and less than (2.7). Exam tip: compare using (2.50) and (2.70).
Step 3
Exam Tip
(2.56), (2.5) से बड़ा और (2.7) से छोटा है। परीक्षा में (2.5) को (2.50) और (2.7) को (2.70) मानें।
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भिन्न \(\frac{1}{5}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{1}{5}\)?
#number systems
#fraction to decimal
#tenths
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A (0.5)
B (0.15)
C (0.2)
D (0.05)
Explanation opens after your attempt
Step 1
Concept
\(\frac{1}{5}=\frac{2}{10}=0.2\). Exam tip: multiply denominator (5) by (2) to make (10).
Step 2
Why this answer is correct
The correct answer is C. (0.2). \(\frac{1}{5}=\frac{2}{10}=0.2\). Exam tip: multiply denominator (5) by (2) to make (10).
Step 3
Exam Tip
\(\frac{1}{5}=\frac{2}{10}=0.2\)। परीक्षा में हर (5) को (10) बनाने के लिए (2) से गुणा करें।
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दशमलव (0.375) में कितने दशमलव स्थान हैं?
How many decimal places are there in (0.375)?
#number systems
#decimal places
#place value
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
There are (3) digits after the decimal point in (0.375). Exam tip: count all digits after the decimal point.
Step 2
Why this answer is correct
The correct answer is C. (3). There are (3) digits after the decimal point in (0.375). Exam tip: count all digits after the decimal point.
Step 3
Exam Tip
(0.375) में दशमलव के बाद (3) अंक हैं। परीक्षा में दशमलव बिंदु के बाद सभी अंकों को गिनें।
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कौन-सा दशमलव (5.09) से छोटा है?
Which decimal is less than (5.09)?
#number systems
#compare decimals
#decimal order
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A (5.9)
B (5.10)
C (5.090)
D (5.08)
Explanation opens after your attempt
Step 1
Concept
(5.08) is less than (5.09) because (8<9) at the hundredths place. Exam tip: compare after making equal decimal places.
Step 2
Why this answer is correct
The correct answer is D. (5.08). (5.08) is less than (5.09) because (8<9) at the hundredths place. Exam tip: compare after making equal decimal places.
Step 3
Exam Tip
(5.08), (5.09) से छोटा है क्योंकि सौवें स्थान पर (8<9) है। परीक्षा में समान दशमलव स्थान बनाकर तुलना करें।
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कौन-सा विकल्प \(0.\overline{12}\) के अर्थ को सही दिखाता है?
Which option correctly shows the meaning of \(0.\overline{12}\)?
#number systems
#bar notation
#recurring decimal
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A \(0.121212\ldots\)
B \(0.12000\ldots\)
C \(0.11212\ldots\)
D \(0.012012\ldots\)
Explanation opens after your attempt
Correct Answer
A. \(0.121212\ldots\)
Step 1
Concept
In \(0.\overline{12}\), the group (12) repeats. Exam tip: read the whole repeating group under the bar.
Step 2
Why this answer is correct
The correct answer is A. \(0.121212\ldots\). In \(0.\overline{12}\), the group (12) repeats. Exam tip: read the whole repeating group under the bar.
Step 3
Exam Tip
\(0.\overline{12}\) में (12) बार-बार आता है। परीक्षा में बार के नीचे पूरा दोहराता समूह देखें।
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दशमलव (1.2) को \(\frac{p}{q}\) रूप में लिखने पर क्या मिलेगा?
What is (1.2) in \(\frac{p}{q}\) form?
#number systems
#rational form
#decimal to fraction
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A \(\frac{12}{100}\)
B \(\frac{6}{5}\)
C \(\frac{5}{6}\)
D \(\frac{12}{5}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{6}{5}\)
Step 1
Concept
\(1.2=\frac{12}{10}=\frac{6}{5}\). Exam tip: write the fraction in simplest form.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{6}{5}\). \(1.2=\frac{12}{10}=\frac{6}{5}\). Exam tip: write the fraction in simplest form.
Step 3
Exam Tip
\(1.2=\frac{12}{10}=\frac{6}{5}\)। परीक्षा में भिन्न को सरलतम रूप में लिखें।
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किस भिन्न का दशमलव विस्तार सांत नहीं होगा?
Which fraction will not have a terminating decimal expansion?
#number systems
#non terminating decimal
#prime factors
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A \(\frac{3}{16}\)
B \(\frac{7}{25}\)
C \(\frac{2}{11}\)
D \(\frac{9}{50}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{2}{11}\)
Step 1
Concept
In \(\frac{2}{11}\), the denominator has (11), so the decimal will not terminate. Exam tip: check for denominator factors other than (2) and (5).
Step 2
Why this answer is correct
The correct answer is C. \(\frac{2}{11}\). In \(\frac{2}{11}\), the denominator has (11), so the decimal will not terminate. Exam tip: check for denominator factors other than (2) and (5).
Step 3
Exam Tip
\(\frac{2}{11}\) में हर (11) है इसलिए दशमलव सांत नहीं होगा। परीक्षा में हर में (2) और (5) के अलावा गुणनखंड हो तो जांचें।
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दशमलव (0.004) में (4) किस स्थान पर है?
In (0.004), at which place is (4)?
#number systems
#thousandths
#place value
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A दसवां / Tenths
B सौवां / Hundredths
C हजारवां / Thousandths
D इकाई / Ones
Explanation opens after your attempt
Correct Answer
C. हजारवां / Thousandths
Step 1
Concept
(4) is at the third place after the decimal point, so it is in the thousandths place. Exam tip: include zeros while counting places.
Step 2
Why this answer is correct
The correct answer is C. हजारवां / Thousandths. (4) is at the third place after the decimal point, so it is in the thousandths place. Exam tip: include zeros while counting places.
Step 3
Exam Tip
(4) दशमलव के बाद तीसरे स्थान पर है इसलिए हजारवें स्थान पर है। परीक्षा में शून्यों को भी स्थान गिनते समय शामिल करें।
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कौन-सा दशमलव \(\frac{3}{4}\) के बराबर है?
Which decimal is equal to \(\frac{3}{4}\)?
#number systems
#fraction to decimal
#common fractions
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A (0.34)
B (0.43)
C (0.70)
D (0.75)
Explanation opens after your attempt
Step 1
Concept
\(\frac{3}{4}=\frac{75}{100}=0.75\). Exam tip: you can also use \(\frac{1}{4}=0.25\) to solve quickly.
Step 2
Why this answer is correct
The correct answer is D. (0.75). \(\frac{3}{4}=\frac{75}{100}=0.75\). Exam tip: you can also use \(\frac{1}{4}=0.25\) to solve quickly.
Step 3
Exam Tip
\(\frac{3}{4}=\frac{75}{100}=0.75\)। परीक्षा में \(\frac{1}{4}=0.25\) से भी जल्दी हल कर सकते हैं।
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दशमलव (12.03) में पूर्णांक भाग क्या है?
What is the whole number part of (12.03)?
#number systems
#decimal parts
#whole number part
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A (3)
B (12)
C (03)
D (0.03)
Explanation opens after your attempt
Step 1
Concept
The part before the decimal point is (12). Exam tip: the whole number part lies to the left of the decimal point.
Step 2
Why this answer is correct
The correct answer is B. (12). The part before the decimal point is (12). Exam tip: the whole number part lies to the left of the decimal point.
Step 3
Exam Tip
दशमलव बिंदु से पहले का भाग (12) है। परीक्षा में पूर्णांक भाग दशमलव बिंदु के बाएं होता है।
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दशमलव (0.009) को भिन्न में लिखिए।
Write (0.009) as a fraction.
#number systems
#decimal to fraction
#thousandths
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A \(\frac{9}{100}\)
B \(\frac{9}{1000}\)
C \(\frac{9}{10}\)
D \(\frac{1000}{9}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{9}{1000}\)
Step 1
Concept
\(0.009=\frac{9}{1000}\) because it has three decimal places. Exam tip: leading zeros after the decimal point also increase place count.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{9}{1000}\). \(0.009=\frac{9}{1000}\) because it has three decimal places. Exam tip: leading zeros after the decimal point also increase place count.
Step 3
Exam Tip
\(0.009=\frac{9}{1000}\) क्योंकि तीन दशमलव स्थान हैं। परीक्षा में अग्र शून्य भी स्थान बढ़ाते हैं।
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कौन-सा दशमलव (3.4) के बराबर है?
Which decimal is equal to (3.4)?
#number systems
#equivalent decimals
#trailing zeros
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A (3.04)
B (3.40)
C (34.0)
D (0.34)
Explanation opens after your attempt
Step 1
Concept
(3.4=3.40) because the final zero does not change the value. Exam tip: remove unnecessary zeros to identify equal decimals.
Step 2
Why this answer is correct
The correct answer is B. (3.40). (3.4=3.40) because the final zero does not change the value. Exam tip: remove unnecessary zeros to identify equal decimals.
Step 3
Exam Tip
(3.4=3.40) क्योंकि अंत का शून्य मान नहीं बदलता। परीक्षा में बराबर दशमलव पहचानने के लिए अनावश्यक शून्य हटाएं।
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दशमलव (8.75) को सरलतम भिन्न में लिखने पर क्या मिलेगा?
What is (8.75) as a fraction in simplest form?
#number systems
#decimal to fraction
#simplest form
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A \(\frac{35}{4}\)
B \(\frac{875}{10}\)
C \(\frac{87}{5}\)
D \(\frac{75}{8}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{35}{4}\)
Step 1
Concept
\(8.75=\frac{875}{100}=\frac{35}{4}\). Exam tip: first remove the decimal point, then simplify the fraction.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{35}{4}\). \(8.75=\frac{875}{100}=\frac{35}{4}\). Exam tip: first remove the decimal point, then simplify the fraction.
Step 3
Exam Tip
\(8.75=\frac{875}{100}=\frac{35}{4}\)। परीक्षा में पहले दशमलव हटाएं फिर भिन्न सरल करें।
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कौन-सा दशमलव (0.125) से छोटा है?
Which decimal is less than (0.125)?
#number systems
#compare decimals
#decimal order
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A (0.2)
B (0.13)
C (0.124)
D (0.1250)
Explanation opens after your attempt
Correct Answer
C. (0.124)
Step 1
Concept
(0.124) is less than (0.125) because (4<5) at the thousandths place. Exam tip: compare digits place by place.
Step 2
Why this answer is correct
The correct answer is C. (0.124). (0.124) is less than (0.125) because (4<5) at the thousandths place. Exam tip: compare digits place by place.
Step 3
Exam Tip
(0.124), (0.125) से छोटा है क्योंकि हजारवें स्थान पर (4<5) है। परीक्षा में समान स्थान तक अंक मिलाकर तुलना करें।
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कौन-सी संख्या सांत दशमलव का उदाहरण नहीं है?
Which number is not an example of a terminating decimal?
#number systems
#terminating decimal
#recurring decimal
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A (6.5)
B (0.04)
C (10.125)
D \(1.272727\ldots\)
Explanation opens after your attempt
Correct Answer
D. \(1.272727\ldots\)
Step 1
Concept
In \(1.272727\ldots\), (27) repeats, so it is not terminating. Exam tip: dots with repetition indicate a non-terminating recurring decimal.
Step 2
Why this answer is correct
The correct answer is D. \(1.272727\ldots\). In \(1.272727\ldots\), (27) repeats, so it is not terminating. Exam tip: dots with repetition indicate a non-terminating recurring decimal.
Step 3
Exam Tip
\(1.272727\ldots\) में (27) बार-बार आता है इसलिए यह सांत नहीं है। परीक्षा में तीन बिंदु और दोहराव दिखे तो असांत आवर्ती मानें।
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भिन्न \(\frac{17}{50}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{17}{50}\)?
#number systems
#fraction to decimal
#terminating decimal
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A (0.34)
B (0.17)
C (0.50)
D (0.85)
Explanation opens after your attempt
Step 1
Concept
\(\frac{17}{50}=\frac{34}{100}=0.34\). Exam tip: multiply denominator (50) by (2) to make (100).
Step 2
Why this answer is correct
The correct answer is A. (0.34). \(\frac{17}{50}=\frac{34}{100}=0.34\). Exam tip: multiply denominator (50) by (2) to make (100).
Step 3
Exam Tip
\(\frac{17}{50}=\frac{34}{100}=0.34\)। परीक्षा में हर (50) को (100) बनाने के लिए (2) से गुणा करें।
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दशमलव (9.006) में (6) का स्थानीय मान क्या है?
What is the place value of (6) in (9.006)?
#number systems
#place value
#thousandths
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A \(\frac{6}{1000}\)
B \(\frac{6}{100}\)
C \(\frac{6}{10}\)
D (6)
Explanation opens after your attempt
Correct Answer
A. \(\frac{6}{1000}\)
Step 1
Concept
(6) is in the thousandths place, so its place value is \(\frac{6}{1000}\). Exam tip: each zero shifts the place one step ahead.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{6}{1000}\). (6) is in the thousandths place, so its place value is \(\frac{6}{1000}\). Exam tip: each zero shifts the place one step ahead.
Step 3
Exam Tip
(6) हजारवें स्थान पर है इसलिए स्थानीय मान \(\frac{6}{1000}\) है। परीक्षा में प्रत्येक शून्य एक स्थान आगे बढ़ाता है।
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कौन-सा विकल्प \(\frac{1}{2}\) का दशमलव रूप है?
Which option is the decimal form of \(\frac{1}{2}\)?
#number systems
#fraction to decimal
#basic decimals
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A (0.2)
B (0.5)
C (1.2)
D (2.0)
Explanation opens after your attempt
Step 1
Concept
\(\frac{1}{2}=0.5\). Exam tip: remember half as (0.5).
Step 2
Why this answer is correct
The correct answer is B. (0.5). \(\frac{1}{2}=0.5\). Exam tip: remember half as (0.5).
Step 3
Exam Tip
\(\frac{1}{2}=0.5\)। परीक्षा में आधे का दशमलव (0.5) तुरंत याद रखें।
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कौन-सा दशमलव असांत अनावर्ती है?
Which decimal is non-terminating non-recurring?
#number systems
#non recurring decimal
#irrational numbers
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A \(0.444\ldots\)
B (2.125)
C \(0.1234567891011\ldots\)
D (7.000)
Explanation opens after your attempt
Correct Answer
C. \(0.1234567891011\ldots\)
Step 1
Concept
In \(0.1234567891011\ldots\), no fixed repeating group is seen. Exam tip: such a decimal can be of irrational type.
Step 2
Why this answer is correct
The correct answer is C. \(0.1234567891011\ldots\). In \(0.1234567891011\ldots\), no fixed repeating group is seen. Exam tip: such a decimal can be of irrational type.
Step 3
Exam Tip
\(0.1234567891011\ldots\) में कोई स्थिर आवर्ती समूह नहीं दिखता। परीक्षा में ऐसा दशमलव अपरिमेय प्रकार का हो सकता है।
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दशमलव (0.2) और (0.20) के बारे में सही कथन कौन-सा है?
Which statement about (0.2) and (0.20) is correct?
#number systems
#equivalent decimals
#compare decimals
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A (0.2<0.20)
B (0.2>0.20)
C (0.2=0.20)
D इनकी तुलना नहीं हो सकती / They cannot be compared
Explanation opens after your attempt
Correct Answer
C. (0.2=0.20)
Step 1
Concept
The final zero in (0.20) does not change the value, so (0.2=0.20). Exam tip: remove trailing zeros before comparing.
Step 2
Why this answer is correct
The correct answer is C. (0.2=0.20). The final zero in (0.20) does not change the value, so (0.2=0.20). Exam tip: remove trailing zeros before comparing.
Step 3
Exam Tip
(0.20) में अंत का शून्य मान नहीं बदलता इसलिए (0.2=0.20)। परीक्षा में अंत के शून्य हटाकर तुलना करें।
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भिन्न \(\frac{6}{25}\) का दशमलव रूप क्या है?
What is the decimal form of \(\frac{6}{25}\)?
#number systems
#fraction to decimal
#terminating decimal
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A (0.06)
B (0.24)
C (0.25)
D (0.60)
Explanation opens after your attempt
Step 1
Concept
\(\frac{6}{25}=\frac{24}{100}=0.24\). Exam tip: multiply denominator (25) by (4) to make (100).
Step 2
Why this answer is correct
The correct answer is B. (0.24). \(\frac{6}{25}=\frac{24}{100}=0.24\). Exam tip: multiply denominator (25) by (4) to make (100).
Step 3
Exam Tip
\(\frac{6}{25}=\frac{24}{100}=0.24\)। परीक्षा में हर (25) को (100) बनाने के लिए (4) से गुणा करें।
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कौन-सा दशमलव (10.01) से बड़ा है?
Which decimal is greater than (10.01)?
#number systems
#compare decimals
#decimal representation
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A (10.001)
B (10.010)
C (10.009)
D (10.02)
Explanation opens after your attempt
Correct Answer
D. (10.02)
Step 1
Concept
(10.02) is greater than (10.01) because (2>1) at the hundredths place. Exam tip: when whole number parts are equal, compare decimal parts.
Step 2
Why this answer is correct
The correct answer is D. (10.02). (10.02) is greater than (10.01) because (2>1) at the hundredths place. Exam tip: when whole number parts are equal, compare decimal parts.
Step 3
Exam Tip
(10.02), (10.01) से बड़ा है क्योंकि सौवें स्थान पर (2>1) है। परीक्षा में समान पूर्णांक भाग हो तो दशमलव भाग तुलना करें।
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दशमलव (0.625) को सरलतम भिन्न में बदलने पर क्या मिलेगा?
What is (0.625) as a fraction in simplest form?
#number systems
#decimal to fraction
#simplest form
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A \(\frac{5}{8}\)
B \(\frac{6}{25}\)
C \(\frac{25}{6}\)
D \(\frac{625}{100}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{8}\)
Step 1
Concept
\(0.625=\frac{625}{1000}=\frac{5}{8}\). Exam tip: for three decimal places, first use denominator (1000).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{8}\). \(0.625=\frac{625}{1000}=\frac{5}{8}\). Exam tip: for three decimal places, first use denominator (1000).
Step 3
Exam Tip
\(0.625=\frac{625}{1000}=\frac{5}{8}\)। परीक्षा में तीन दशमलव स्थान हों तो पहले हर (1000) लें।
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कौन-सा दशमलव \(\frac{4}{5}\) के बराबर है?
Which decimal is equal to \(\frac{4}{5}\)?
#number systems
#fraction to decimal
#tenths
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A (0.45)
B (0.08)
C (0.8)
D (4.5)
Explanation opens after your attempt
Step 1
Concept
\(\frac{4}{5}=\frac{8}{10}=0.8\). Exam tip: multiply denominator (5) by (2) to make (10).
Step 2
Why this answer is correct
The correct answer is C. (0.8). \(\frac{4}{5}=\frac{8}{10}=0.8\). Exam tip: multiply denominator (5) by (2) to make (10).
Step 3
Exam Tip
\(\frac{4}{5}=\frac{8}{10}=0.8\)। परीक्षा में हर (5) को (10) बनाने के लिए (2) से गुणा करें।
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