भिन्न \( \frac{3}{8} \) का दशमलव रूप कौन-सा है?
Which is the decimal form of \( \frac{3}{8} \)?
#number-systems
#decimal-representation
#terminating-decimal
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A (0.375)
B (0.38)
C (0.83)
D (0.625)
Explanation opens after your attempt
Correct Answer
A. (0.375)
Step 1
Concept
\( \frac{3}{8}=\frac{375}{1000}=0.375 \). Converting denominator (8) into (1000) is useful.
Step 2
Why this answer is correct
The correct answer is A. (0.375). \( \frac{3}{8}=\frac{375}{1000}=0.375 \). Converting denominator (8) into (1000) is useful.
Step 3
Exam Tip
\( \frac{3}{8}=\frac{375}{1000}=0.375 \) है। हर (8) को (1000) में बदलना उपयोगी रहता है।
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भिन्न \( \frac{11}{20} \) का दशमलव प्रसार क्या है?
What is the decimal expansion of \( \frac{11}{20} \)?
#number-systems
#decimal-representation
#hundredths
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A (0.11)
B (0.20)
C (0.45)
D (0.55)
Explanation opens after your attempt
Step 1
Concept
\( \frac{11}{20}=\frac{55}{100}=0.55 \). Multiply denominator (20) by (5) to make (100).
Step 2
Why this answer is correct
The correct answer is D. (0.55). \( \frac{11}{20}=\frac{55}{100}=0.55 \). Multiply denominator (20) by (5) to make (100).
Step 3
Exam Tip
\( \frac{11}{20}=\frac{55}{100}=0.55 \) है। हर (20) को (100) बनाने के लिए (5) से गुणा करें।
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मिश्रित संख्या \(1\frac{3}{4}\) का दशमलव रूप क्या है?
What is the decimal form of the mixed number \(1\frac{3}{4}\)?
#number-systems
#decimal-representation
#mixed-number
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A (1.25)
B (1.75)
C (1.34)
D (0.75)
Explanation opens after your attempt
Step 1
Concept
\( \frac{3}{4}=0.75 \), so \(1\frac{3}{4}=1.75\). First convert the fractional part into a decimal.
Step 2
Why this answer is correct
The correct answer is B. (1.75). \( \frac{3}{4}=0.75 \), so \(1\frac{3}{4}=1.75\). First convert the fractional part into a decimal.
Step 3
Exam Tip
\( \frac{3}{4}=0.75 \), इसलिए \(1\frac{3}{4}=1.75\) है। पहले भिन्न भाग को दशमलव में बदलें।
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दशमलव (0.06) को सरल भिन्न में बदलने पर क्या मिलेगा?
What is obtained when (0.06) is converted into a simplified fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{6}{10} \)
B \( \frac{6}{1000} \)
C \( \frac{3}{50} \)
D \( \frac{6}{50} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{3}{50} \)
Step 1
Concept
\(0.06=\frac{6}{100}=\frac{3}{50}\). For two decimal places, take denominator (100).
Step 2
Why this answer is correct
The correct answer is C. \( \frac{3}{50} \). \(0.06=\frac{6}{100}=\frac{3}{50}\). For two decimal places, take denominator (100).
Step 3
Exam Tip
\(0.06=\frac{6}{100}=\frac{3}{50}\) है। दो दशमलव स्थान हों तो हर (100) लें।
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दशमलव (0.48) को सरल भिन्न में कैसे लिखेंगे?
How will (0.48) be written as a simplified fraction?
#number-systems
#decimal-representation
#simplification
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A \( \frac{12}{25} \)
B \( \frac{48}{10} \)
C \( \frac{4}{8} \)
D \( \frac{24}{100} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{12}{25} \)
Step 1
Concept
\(0.48=\frac{48}{100}=\frac{12}{25}\). After converting a decimal to a fraction, simplifying is important.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{12}{25} \). \(0.48=\frac{48}{100}=\frac{12}{25}\). After converting a decimal to a fraction, simplifying is important.
Step 3
Exam Tip
\(0.48=\frac{48}{100}=\frac{12}{25}\) है। दशमलव को भिन्न में बदलकर सरल करना जरूरी है।
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दशमलव (2.125) के बराबर सरल भिन्न कौन-सी है?
Which simplified fraction is equal to (2.125)?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{17}{4} \)
B \( \frac{21}{25} \)
C \( \frac{125}{100} \)
D \( \frac{17}{8} \)
Explanation opens after your attempt
Correct Answer
D. \( \frac{17}{8} \)
Step 1
Concept
\(2.125=\frac{2125}{1000}=\frac{17}{8}\). A mixed decimal can also be converted into an improper fraction.
Step 2
Why this answer is correct
The correct answer is D. \( \frac{17}{8} \). \(2.125=\frac{2125}{1000}=\frac{17}{8}\). A mixed decimal can also be converted into an improper fraction.
Step 3
Exam Tip
\(2.125=\frac{2125}{1000}=\frac{17}{8}\) है। मिश्रित दशमलव को भी अनुचित भिन्न में बदला जा सकता है।
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दशमलव (0.009) में (9) किस स्थान पर है?
In the decimal (0.009), at which place is (9)?
#number-systems
#decimal-representation
#place-value
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A दसवां / Tenths
B हजारवां / Thousandths
C सौवां / Hundredths
D दस हजारवां / Ten-thousandths
Explanation opens after your attempt
Correct Answer
B. हजारवां / Thousandths
Step 1
Concept
(9) is in the third place after the decimal point. The third place is the thousandths place.
Step 2
Why this answer is correct
The correct answer is B. हजारवां / Thousandths. (9) is in the third place after the decimal point. The third place is the thousandths place.
Step 3
Exam Tip
(9) दशमलव के बाद तीसरे स्थान पर है। तीसरा स्थान हजारवां होता है।
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दशमलव (5.406) में (4) का स्थानीय मान क्या है?
What is the place value of (4) in (5.406)?
#number-systems
#decimal-representation
#tenths
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A \( \frac{4}{10} \)
B \( \frac{4}{100} \)
C \( \frac{4}{1000} \)
D (4)
Explanation opens after your attempt
Correct Answer
A. \( \frac{4}{10} \)
Step 1
Concept
(4) is in the first place after the decimal point, so its place value is \( \frac{4}{10} \). The first decimal place is tenths.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{4}{10} \). (4) is in the first place after the decimal point, so its place value is \( \frac{4}{10} \). The first decimal place is tenths.
Step 3
Exam Tip
(4) दशमलव के बाद पहले स्थान पर है, इसलिए उसका स्थानीय मान \( \frac{4}{10} \) है। पहला दशमलव स्थान दसवां होता है।
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दशमलव (8.032) में (3) का स्थानीय मान क्या है?
What is the place value of (3) in (8.032)?
#number-systems
#decimal-representation
#hundredths
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A \( \frac{3}{10} \)
B (3)
C \( \frac{3}{100} \)
D \( \frac{3}{1000} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{3}{100} \)
Step 1
Concept
(3) is in the second place after the decimal point. The second decimal place is called hundredths.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{3}{100} \). (3) is in the second place after the decimal point. The second decimal place is called hundredths.
Step 3
Exam Tip
(3) दशमलव के बाद दूसरे स्थान पर है। दूसरे दशमलव स्थान को सौवां कहते हैं।
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दशमलव (0.0008) में (8) का स्थानीय मान क्या है?
What is the place value of (8) in (0.0008)?
#number-systems
#decimal-representation
#place-value
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A \( \frac{8}{10} \)
B \( \frac{8}{100} \)
C \( \frac{8}{1000} \)
D \( \frac{8}{10000} \)
Explanation opens after your attempt
Correct Answer
D. \( \frac{8}{10000} \)
Step 1
Concept
(8) is in the fourth place after the decimal point. The fourth place is ten-thousandths.
Step 2
Why this answer is correct
The correct answer is D. \( \frac{8}{10000} \). (8) is in the fourth place after the decimal point. The fourth place is ten-thousandths.
Step 3
Exam Tip
(8) दशमलव के बाद चौथे स्थान पर है। चौथा स्थान दस हजारवां होता है।
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दशमलव (4.73) का विस्तारित रूप कौन-सा है?
Which is the expanded form of the decimal (4.73)?
#number-systems
#decimal-representation
#expanded-form
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A \(4+\frac{7}{10}+\frac{3}{100}\)
B \(4+\frac{7}{100}+\frac{3}{10}\)
C \(47+\frac{3}{100}\)
D \(4+\frac{73}{10}\)
Explanation opens after your attempt
Correct Answer
A. \(4+\frac{7}{10}+\frac{3}{100}\)
Step 1
Concept
(7) is in tenths and (3) is in hundredths. So \(4.73=4+\frac{7}{10}+\frac{3}{100}\).
Step 2
Why this answer is correct
The correct answer is A. \(4+\frac{7}{10}+\frac{3}{100}\). (7) is in tenths and (3) is in hundredths. So \(4.73=4+\frac{7}{10}+\frac{3}{100}\).
Step 3
Exam Tip
(7) दसवें और (3) सौवें स्थान पर है। इसलिए \(4.73=4+\frac{7}{10}+\frac{3}{100}\) है।
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दशमलव (0.508) का विस्तारित रूप क्या होगा?
What is the expanded form of (0.508)?
#number-systems
#decimal-representation
#expanded-form
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A \( \frac{5}{100}+\frac{8}{1000} \)
B \( \frac{5}{10}+\frac{8}{1000} \)
C \( \frac{5}{10}+\frac{8}{100} \)
D \( \frac{508}{100} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{5}{10}+\frac{8}{1000} \)
Step 1
Concept
(5) is in tenths and (8) is in thousandths. The middle (0) shows the value of the hundredths place.
Step 2
Why this answer is correct
The correct answer is B. \( \frac{5}{10}+\frac{8}{1000} \). (5) is in tenths and (8) is in thousandths. The middle (0) shows the value of the hundredths place.
Step 3
Exam Tip
(5) दसवें और (8) हजारवें स्थान पर है। बीच का (0) सौवें स्थान का मान दिखाता है।
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कौन-सा दशमलव (0.08) के बराबर है?
Which decimal is equal to (0.08)?
#number-systems
#decimal-representation
#equivalent-decimals
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A (0.8)
B (0.008)
C (0.080)
D (0.80)
Explanation opens after your attempt
Correct Answer
C. (0.080)
Step 1
Concept
Adding a zero at the end of a decimal does not change its value. Therefore, (0.08=0.080).
Step 2
Why this answer is correct
The correct answer is C. (0.080). Adding a zero at the end of a decimal does not change its value. Therefore, (0.08=0.080).
Step 3
Exam Tip
दशमलव के अंत में शून्य जोड़ने से मान नहीं बदलता। इसलिए (0.08=0.080) है।
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कौन-सा दशमलव (6.500) के बराबर है?
Which decimal is equal to (6.500)?
#number-systems
#decimal-representation
#equivalent-decimals
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A (6.05)
B (6.5)
C (6.005)
D (65.00)
Explanation opens after your attempt
Step 1
Concept
Removing zeros at the end of a decimal does not change its value. Therefore, (6.500=6.5).
Step 2
Why this answer is correct
The correct answer is B. (6.5). Removing zeros at the end of a decimal does not change its value. Therefore, (6.500=6.5).
Step 3
Exam Tip
दशमलव के अंत के शून्य हटाने से मान नहीं बदलता। इसलिए (6.500=6.5) है।
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कौन-सी संख्या (2.15) और (2.16) के बीच है?
Which number lies between (2.15) and (2.16)?
#number-systems
#decimal-representation
#between-decimals
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A (2.149)
B (2.160)
C (2.150)
D (2.155)
Explanation opens after your attempt
Correct Answer
D. (2.155)
Step 1
Concept
(2.155) is greater than (2.150) and less than (2.160). Thinking on a number line helps identify numbers between two decimals.
Step 2
Why this answer is correct
The correct answer is D. (2.155). (2.155) is greater than (2.150) and less than (2.160). Thinking on a number line helps identify numbers between two decimals.
Step 3
Exam Tip
(2.155), (2.150) से बड़ा और (2.160) से छोटा है। संख्या रेखा पर सोचने से बीच की संख्या पहचानना आसान होता है।
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कौन-सा दशमलव (0.4) से बड़ा लेकिन (0.5) से छोटा है?
Which decimal is greater than (0.4) but less than (0.5)?
#number-systems
#decimal-representation
#number-line
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A (0.39)
B (0.405)
C (0.50)
D (0.504)
Explanation opens after your attempt
Correct Answer
B. (0.405)
Step 1
Concept
(0.405) is greater than (0.400) and less than (0.500). Add zeros to make places equal while comparing.
Step 2
Why this answer is correct
The correct answer is B. (0.405). (0.405) is greater than (0.400) and less than (0.500). Add zeros to make places equal while comparing.
Step 3
Exam Tip
(0.405), (0.400) से बड़ा और (0.500) से छोटा है। तुलना में शून्य जोड़कर स्थान समान करें।
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दशमलव \(0.272727\ldots\) का बार संकेतन क्या है?
What is the bar notation of \(0.272727\ldots\)?
#number-systems
#decimal-representation
#bar-notation
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A \(0.\overline{2}\)
B \(0.\overline{27}\)
C \(0.2\overline{7}\)
D (0.27)
Explanation opens after your attempt
Correct Answer
B. \(0.\overline{27}\)
Step 1
Concept
Here the block (27) repeats again and again. The bar is placed only over the repeating part.
Step 2
Why this answer is correct
The correct answer is B. \(0.\overline{27}\). Here the block (27) repeats again and again. The bar is placed only over the repeating part.
Step 3
Exam Tip
यहां (27) का समूह बार-बार आ रहा है। बार केवल दोहराने वाले भाग पर लगाते हैं।
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दशमलव \(5.1333\ldots\) में दोहराने वाला भाग कौन-सा है?
What is the repeating part in \(5.1333\ldots\)?
#number-systems
#decimal-representation
#repeating-part
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A (1)
B (13)
C (3)
D (33)
Explanation opens after your attempt
Step 1
Concept
After (1) in the decimal part, (3) repeats continuously. The smallest repeating part is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). After (1) in the decimal part, (3) repeats continuously. The smallest repeating part is (3).
Step 3
Exam Tip
दशमलव में (1) के बाद (3) लगातार दोहर रहा है। सबसे छोटा दोहराने वाला भाग (3) है।
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दशमलव \(2.4585858\ldots\) में आवर्ती भाग कौन-सा है?
What is the recurring part in \(2.4585858\ldots\)?
#number-systems
#decimal-representation
#repeating-block
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A (45)
B (58)
C (858)
D (458)
Explanation opens after your attempt
Step 1
Concept
After (45) in the decimal part, (58) repeats. The recurring part is the part that repeats continuously.
Step 2
Why this answer is correct
The correct answer is B. (58). After (45) in the decimal part, (58) repeats. The recurring part is the part that repeats continuously.
Step 3
Exam Tip
दशमलव में (45) के बाद (58) बार-बार दोहरता है। आवर्ती भाग वही है जो लगातार दोहरता है।
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सरल रूप में \( \frac{9}{80} \) का दशमलव प्रसार कैसा होगा?
In simplest form, what type of decimal expansion will \( \frac{9}{80} \) have?
#number-systems
#decimal-representation
#terminating-test
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A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D पूर्णांक / Integer
Explanation opens after your attempt
Correct Answer
A. सांत / Terminating
Step 1
Concept
\(80=2^4\times5\), so the denominator has only (2) and (5). Such a decimal terminates.
Step 2
Why this answer is correct
The correct answer is A. सांत / Terminating. \(80=2^4\times5\), so the denominator has only (2) and (5). Such a decimal terminates.
Step 3
Exam Tip
\(80=2^4\times5\) है, इसलिए हर में केवल (2) और (5) हैं। ऐसा दशमलव सांत होता है।
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सरल रूप में \( \frac{7}{30} \) का दशमलव प्रसार कैसा होगा?
In simplest form, what type of decimal expansion will \( \frac{7}{30} \) have?
#number-systems
#decimal-representation
#recurring-test
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A सांत / Terminating
B असांत अनावर्ती / Non-terminating non-recurring
C असांत आवर्ती / Non-terminating recurring
D केवल शून्य / Only zero
Explanation opens after your attempt
Correct Answer
C. असांत आवर्ती / Non-terminating recurring
Step 1
Concept
\(30=2\times3\times5\) also has (3), so the decimal will not terminate. Since it is rational, it will be non-terminating recurring.
Step 2
Why this answer is correct
The correct answer is C. असांत आवर्ती / Non-terminating recurring. \(30=2\times3\times5\) also has (3), so the decimal will not terminate. Since it is rational, it will be non-terminating recurring.
Step 3
Exam Tip
\(30=2\times3\times5\) में (3) भी है, इसलिए दशमलव सांत नहीं होगा। परिमेय संख्या होने से यह असांत आवर्ती होगा।
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भिन्न \( \frac{13}{16} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{13}{16} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.1316)
B (0.6875)
C (0.8125)
D (0.816)
Explanation opens after your attempt
Correct Answer
C. (0.8125)
Step 1
Concept
\( \frac{13}{16}=\frac{8125}{10000}=0.8125 \). Denominator (16) can be converted into (10000).
Step 2
Why this answer is correct
The correct answer is C. (0.8125). \( \frac{13}{16}=\frac{8125}{10000}=0.8125 \). Denominator (16) can be converted into (10000).
Step 3
Exam Tip
\( \frac{13}{16}=\frac{8125}{10000}=0.8125 \) है। हर (16) को (10000) में बदला जा सकता है।
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भिन्न \( \frac{23}{50} \) का दशमलव रूप कौन-सा है?
Which is the decimal form of \( \frac{23}{50} \)?
#number-systems
#decimal-representation
#hundredths
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A (0.46)
B (0.23)
C (0.50)
D (0.92)
Explanation opens after your attempt
Step 1
Concept
\( \frac{23}{50}=\frac{46}{100}=0.46 \). Multiply denominator (50) by (2) to make (100).
Step 2
Why this answer is correct
The correct answer is A. (0.46). \( \frac{23}{50}=\frac{46}{100}=0.46 \). Multiply denominator (50) by (2) to make (100).
Step 3
Exam Tip
\( \frac{23}{50}=\frac{46}{100}=0.46 \) है। हर (50) को (100) बनाने के लिए (2) से गुणा करें।
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भिन्न \( \frac{2}{11} \) का दशमलव प्रसार कौन-सा है?
Which is the decimal expansion of \( \frac{2}{11} \)?
#number-systems
#decimal-representation
#recurring-decimal
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A (0.22)
B \(0.181818\ldots\)
C \(0.1111\ldots\)
D \(0.0202\ldots\)
Explanation opens after your attempt
Correct Answer
B. \(0.181818\ldots\)
Step 1
Concept
Dividing (2) by (11) gives the repeating block (18). So \( \frac{2}{11}=0.\overline{18} \).
Step 2
Why this answer is correct
The correct answer is B. \(0.181818\ldots\). Dividing (2) by (11) gives the repeating block (18). So \( \frac{2}{11}=0.\overline{18} \).
Step 3
Exam Tip
\(2\div11\) करने पर (18) का समूह दोहरता है। इसलिए \( \frac{2}{11}=0.\overline{18} \) है।
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भिन्न \( \frac{5}{12} \) का दशमलव प्रसार किस रूप का है?
What is the form of the decimal expansion of \( \frac{5}{12} \)?
#number-systems
#decimal-representation
#decimal-type
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A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D पूर्णांक / Integer
Explanation opens after your attempt
Correct Answer
B. असांत आवर्ती / Non-terminating recurring
Step 1
Concept
\(12=2^2\times3\) has (3), so the decimal will not terminate. Since it is rational, it will be recurring.
Step 2
Why this answer is correct
The correct answer is B. असांत आवर्ती / Non-terminating recurring. \(12=2^2\times3\) has (3), so the decimal will not terminate. Since it is rational, it will be recurring.
Step 3
Exam Tip
\(12=2^2\times3\) में (3) है, इसलिए दशमलव सांत नहीं होगा। परिमेय संख्या होने के कारण यह आवर्ती होगा।
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दशमलव (0.625) किस सरल भिन्न के बराबर है?
The decimal (0.625) is equal to which simplified fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{5}{8} \)
B \( \frac{3}{8} \)
C \( \frac{25}{40} \)
D \( \frac{625}{100} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{5}{8} \)
Step 1
Concept
\(0.625=\frac{625}{1000}=\frac{5}{8}\). Convert the decimal to a fraction and reduce it to the simplest form.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{5}{8} \). \(0.625=\frac{625}{1000}=\frac{5}{8}\). Convert the decimal to a fraction and reduce it to the simplest form.
Step 3
Exam Tip
\(0.625=\frac{625}{1000}=\frac{5}{8}\) है। दशमलव को भिन्न में बदलकर सबसे सरल रूप तक घटाएं।
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दशमलव (0.0125) को सरल भिन्न में बदलने पर क्या मिलेगा?
What is obtained when (0.0125) is converted into a simplified fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{1}{8} \)
B \( \frac{1}{80} \)
C \( \frac{1}{800} \)
D \( \frac{1}{125} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{1}{80} \)
Step 1
Concept
\(0.0125=\frac{125}{10000}=\frac{1}{80}\). For four decimal places, take denominator (10000).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{1}{80} \). \(0.0125=\frac{125}{10000}=\frac{1}{80}\). For four decimal places, take denominator (10000).
Step 3
Exam Tip
\(0.0125=\frac{125}{10000}=\frac{1}{80}\) है। चार दशमलव स्थान होने पर हर (10000) लें।
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(0.75) को प्रतिशत में बदलने पर क्या मिलेगा?
What is obtained by converting (0.75) into a percentage?
#number-systems
#decimal-representation
#decimal-percent
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A (7.5%)
B (0.75%)
C (75%)
D (750%)
Explanation opens after your attempt
Step 1
Concept
\(0.75\times100=75\), so it becomes (75%). To convert a decimal into a percentage, multiply by (100).
Step 2
Why this answer is correct
The correct answer is C. (75%). \(0.75\times100=75\), so it becomes (75%). To convert a decimal into a percentage, multiply by (100).
Step 3
Exam Tip
\(0.75\times100=75\), इसलिए (75%) मिलेगा। दशमलव को प्रतिशत में बदलने के लिए (100) से गुणा करें।
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(3.5) को (10) से गुणा करने पर क्या मिलेगा?
What is obtained by multiplying (3.5) by (10)?
#number-systems
#decimal-representation
#decimal-multiplication
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A (0.35)
B (3.50)
C (35)
D (350)
Explanation opens after your attempt
Step 1
Concept
\(3.5\times10=35\). On multiplying by (10), the decimal point moves one place to the right.
Step 2
Why this answer is correct
The correct answer is C. (35). \(3.5\times10=35\). On multiplying by (10), the decimal point moves one place to the right.
Step 3
Exam Tip
\(3.5\times10=35\) होता है। (10) से गुणा करने पर दशमलव बिंदु एक स्थान दाईं ओर जाता है।
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(42.7) को (10) से भाग देने पर क्या मिलेगा?
What is obtained by dividing (42.7) by (10)?
#number-systems
#decimal-representation
#decimal-division
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A (4.27)
B (427)
C (0.427)
D (42.07)
Explanation opens after your attempt
Step 1
Concept
\(42.7\div10=4.27\). On dividing by (10), the decimal point moves one place to the left.
Step 2
Why this answer is correct
The correct answer is A. (4.27). \(42.7\div10=4.27\). On dividing by (10), the decimal point moves one place to the left.
Step 3
Exam Tip
\(42.7\div10=4.27\) होता है। (10) से भाग देने पर दशमलव बिंदु एक स्थान बाईं ओर जाता है।
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(0.36+0.4) का मान क्या है?
What is the value of (0.36+0.4)?
#number-systems
#decimal-representation
#decimal-addition
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A (0.40)
B (0.76)
C (0.396)
D (0.0364)
Explanation opens after your attempt
Step 1
Concept
(0.4=0.40), so (0.36+0.40=0.76). Align decimal points while adding decimals.
Step 2
Why this answer is correct
The correct answer is B. (0.76). (0.4=0.40), so (0.36+0.40=0.76). Align decimal points while adding decimals.
Step 3
Exam Tip
(0.4=0.40), इसलिए (0.36+0.40=0.76) है। दशमलव जोड़ते समय दशमलव बिंदुओं को एक सीध में रखें।
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(1.25-0.5) का मान क्या है?
What is the value of (1.25-0.5)?
#number-systems
#decimal-representation
#decimal-subtraction
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A (1.20)
B (0.80)
C (0.75)
D (0.25)
Explanation opens after your attempt
Step 1
Concept
(0.5=0.50), so (1.25-0.50=0.75). Make decimal places equal while subtracting.
Step 2
Why this answer is correct
The correct answer is C. (0.75). (0.5=0.50), so (1.25-0.50=0.75). Make decimal places equal while subtracting.
Step 3
Exam Tip
(0.5=0.50), इसलिए (1.25-0.50=0.75) है। घटाते समय दशमलव स्थान समान कर लें।
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(0.05) और (0.005) में कौन-सी संख्या बड़ी है?
Which number is greater between (0.05) and (0.005)?
#number-systems
#decimal-representation
#compare-decimals
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A (0.005)
B दोनों बराबर हैं / Both are equal
C तुलना नहीं हो सकती / Cannot be compared
D (0.05)
Explanation opens after your attempt
Step 1
Concept
(0.05=0.050), which is greater than (0.005). The position of zero is very important in decimal comparison.
Step 2
Why this answer is correct
The correct answer is D. (0.05). (0.05=0.050), which is greater than (0.005). The position of zero is very important in decimal comparison.
Step 3
Exam Tip
(0.05=0.050), जो (0.005) से बड़ा है। दशमलव तुलना में शून्य का स्थान बहुत महत्वपूर्ण होता है।
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दशमलव (15.08) में पूर्णांक भाग कौन-सा है?
What is the whole-number part in the decimal (15.08)?
#number-systems
#decimal-representation
#whole-number-part
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A (15)
B (08)
C (0.08)
D (1508)
Explanation opens after your attempt
Step 1
Concept
The part to the left of the decimal point is the whole-number part. In (15.08), the whole-number part is (15).
Step 2
Why this answer is correct
The correct answer is A. (15). The part to the left of the decimal point is the whole-number part. In (15.08), the whole-number part is (15).
Step 3
Exam Tip
दशमलव बिंदु के बाईं ओर का भाग पूर्णांक भाग होता है। (15.08) में पूर्णांक भाग (15) है।
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दशमलव (15.08) में दशमलव भाग कौन-सा है?
What is the decimal part in (15.08)?
#number-systems
#decimal-representation
#decimal-part
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A (15)
B (08)
C (1508)
D (8.15)
Explanation opens after your attempt
Step 1
Concept
The part to the right of the decimal point is the decimal part. In (15.08), the decimal part is (08).
Step 2
Why this answer is correct
The correct answer is B. (08). The part to the right of the decimal point is the decimal part. In (15.08), the decimal part is (08).
Step 3
Exam Tip
दशमलव बिंदु के दाईं ओर का भाग दशमलव भाग होता है। (15.08) में दशमलव भाग (08) है।
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अपरिमेय संख्या का दशमलव प्रसार कैसा होता है?
What type of decimal expansion does an irrational number have?
#number-systems
#decimal-representation
#irrational-decimal
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A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D हमेशा शून्य / Always zero
Explanation opens after your attempt
Correct Answer
C. असांत अनावर्ती / Non-terminating non-recurring
Step 1
Concept
The decimal expansion of an irrational number neither terminates nor repeats. So it is non-terminating non-recurring.
Step 2
Why this answer is correct
The correct answer is C. असांत अनावर्ती / Non-terminating non-recurring. The decimal expansion of an irrational number neither terminates nor repeats. So it is non-terminating non-recurring.
Step 3
Exam Tip
अपरिमेय संख्या का दशमलव प्रसार न समाप्त होता है और न दोहरता है। इसलिए वह असांत अनावर्ती होता है।
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परिमेय संख्या का दशमलव प्रसार किस प्रकार का हो सकता है?
What type of decimal expansion can a rational number have?
#number-systems
#decimal-representation
#rational-number
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A सांत या असांत आवर्ती / Terminating or non-terminating recurring
B केवल असांत अनावर्ती / Only non-terminating non-recurring
C केवल सांत / Only terminating
D केवल पूर्णांक / Only integer
Explanation opens after your attempt
Correct Answer
A. सांत या असांत आवर्ती / Terminating or non-terminating recurring
Step 1
Concept
The decimal expansion of a rational number is terminating or non-terminating recurring. This identification is very useful in exams.
Step 2
Why this answer is correct
The correct answer is A. सांत या असांत आवर्ती / Terminating or non-terminating recurring. The decimal expansion of a rational number is terminating or non-terminating recurring. This identification is very useful in exams.
Step 3
Exam Tip
परिमेय संख्या का दशमलव प्रसार सांत या असांत आवर्ती होता है। यह पहचान परीक्षा में बहुत उपयोगी है।
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दशमलव \(6.999\ldots\) में कौन-सा अंक दोहर रहा है?
Which digit is repeating in the decimal \(6.999\ldots\)?
#number-systems
#decimal-representation
#repeating-digit
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A (6)
B (9)
C (99)
D (0)
Explanation opens after your attempt
Step 1
Concept
After (6), the digit (9) repeats continuously. A bar is placed over the recurring digit.
Step 2
Why this answer is correct
The correct answer is B. (9). After (6), the digit (9) repeats continuously. A bar is placed over the recurring digit.
Step 3
Exam Tip
(6) के बाद (9) लगातार दोहर रहा है। आवर्ती अंक पर बार लगाया जाता है।
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दशमलव \(0.034034034\ldots\) का आवर्ती भाग क्या है?
What is the recurring part of \(0.034034034\ldots\)?
#number-systems
#decimal-representation
#repeating-block
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A (0)
B (34)
C (034)
D (403)
Explanation opens after your attempt
Step 1
Concept
The block (034) repeats again and again. In bar notation, the bar will be placed over the whole (034).
Step 2
Why this answer is correct
The correct answer is C. (034). The block (034) repeats again and again. In bar notation, the bar will be placed over the whole (034).
Step 3
Exam Tip
(034) का समूह बार-बार दोहर रहा है। बार संकेतन में पूरे (034) पर बार लगेगा।
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भिन्न \( \frac{31}{1000} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{31}{1000} \)?
#number-systems
#decimal-representation
#thousandths
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A (0.31)
B (0.031)
C (0.0031)
D (3.1)
Explanation opens after your attempt
Correct Answer
B. (0.031)
Step 1
Concept
The denominator is (1000), so (31) is written in three decimal places. Therefore, \( \frac{31}{1000}=0.031 \).
Step 2
Why this answer is correct
The correct answer is B. (0.031). The denominator is (1000), so (31) is written in three decimal places. Therefore, \( \frac{31}{1000}=0.031 \).
Step 3
Exam Tip
हर (1000) है, इसलिए (31) को तीन दशमलव स्थानों में लिखेंगे। इसलिए \( \frac{31}{1000}=0.031 \) है।
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(0.9), (0.09), (0.009) को बढ़ते क्रम में कौन-सा सही है?
Which is the correct ascending order of (0.9), (0.09), and (0.009)?
#number-systems
#decimal-representation
#ascending-order
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A (0.9<0.09<0.009)
B (0.009<0.09<0.9)
C (0.09<0.009<0.9)
D (0.009<0.9<0.09)
Explanation opens after your attempt
Correct Answer
B. (0.009<0.09<0.9)
Step 1
Concept
(0.009) is the smallest and (0.9) is the greatest. Arrange decimals carefully by checking place values.
Step 2
Why this answer is correct
The correct answer is B. (0.009<0.09<0.9). (0.009) is the smallest and (0.9) is the greatest. Arrange decimals carefully by checking place values.
Step 3
Exam Tip
(0.009) सबसे छोटा और (0.9) सबसे बड़ा है। दशमलव स्थानों को ध्यान से देखकर क्रम लगाएं।
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भिन्न \( \frac{37}{200} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{37}{200} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.037)
B (0.37)
C (1.85)
D (0.185)
Explanation opens after your attempt
Correct Answer
D. (0.185)
Step 1
Concept
\( \frac{37}{200}=\frac{185}{1000}=0.185 \). Converting the denominator into (1000) helps find the decimal quickly.
Step 2
Why this answer is correct
The correct answer is D. (0.185). \( \frac{37}{200}=\frac{185}{1000}=0.185 \). Converting the denominator into (1000) helps find the decimal quickly.
Step 3
Exam Tip
\( \frac{37}{200}=\frac{185}{1000}=0.185 \) है। हर को (1000) बनाकर दशमलव जल्दी निकाला जा सकता है।
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भिन्न \( \frac{7}{40} \) का दशमलव रूप कौन-सा है?
Which is the decimal form of \( \frac{7}{40} \)?
#number-systems
#decimal-representation
#terminating-decimal
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A (0.175)
B (0.740)
C (0.075)
D (1.75)
Explanation opens after your attempt
Correct Answer
A. (0.175)
Step 1
Concept
\( \frac{7}{40}=\frac{175}{1000}=0.175 \). Multiply denominator (40) by (25) to make (1000).
Step 2
Why this answer is correct
The correct answer is A. (0.175). \( \frac{7}{40}=\frac{175}{1000}=0.175 \). Multiply denominator (40) by (25) to make (1000).
Step 3
Exam Tip
\( \frac{7}{40}=\frac{175}{1000}=0.175 \) है। हर (40) को (1000) बनाने के लिए (25) से गुणा करें।
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दशमलव (0.027) को सरल भिन्न में बदलने पर क्या मिलेगा?
What is obtained when (0.027) is converted into a simplified fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{27}{100} \)
B \( \frac{27}{10} \)
C \( \frac{27}{1000} \)
D \( \frac{27}{10000} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{27}{1000} \)
Step 1
Concept
\(0.027=\frac{27}{1000}\) and it is already in simplest form. For three decimal places, take denominator (1000).
Step 2
Why this answer is correct
The correct answer is C. \( \frac{27}{1000} \). \(0.027=\frac{27}{1000}\) and it is already in simplest form. For three decimal places, take denominator (1000).
Step 3
Exam Tip
\(0.027=\frac{27}{1000}\) है और यह पहले से सरल रूप में है। तीन दशमलव स्थान हों तो हर (1000) लें।
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दशमलव (6.214) में (1) का स्थानीय मान क्या है?
What is the place value of (1) in (6.214)?
#number-systems
#decimal-representation
#place-value
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A \( \frac{1}{10} \)
B \( \frac{1}{100} \)
C \( \frac{1}{1000} \)
D (1)
Explanation opens after your attempt
Correct Answer
B. \( \frac{1}{100} \)
Step 1
Concept
(1) is in the second place after the decimal point. The second decimal place is hundredths.
Step 2
Why this answer is correct
The correct answer is B. \( \frac{1}{100} \). (1) is in the second place after the decimal point. The second decimal place is hundredths.
Step 3
Exam Tip
(1) दशमलव के बाद दूसरे स्थान पर है। दूसरा दशमलव स्थान सौवां होता है।
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दशमलव (3.209) का विस्तारित रूप कौन-सा है?
Which is the expanded form of (3.209)?
#number-systems
#decimal-representation
#expanded-form
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A \(3+\frac{2}{10}+\frac{9}{1000}\)
B \(3+\frac{2}{100}+\frac{9}{10}\)
C \(3+\frac{209}{10}\)
D \(32+\frac{9}{1000}\)
Explanation opens after your attempt
Correct Answer
A. \(3+\frac{2}{10}+\frac{9}{1000}\)
Step 1
Concept
(2) is in tenths and (9) is in thousandths. So \(3.209=3+\frac{2}{10}+\frac{9}{1000}\).
Step 2
Why this answer is correct
The correct answer is A. \(3+\frac{2}{10}+\frac{9}{1000}\). (2) is in tenths and (9) is in thousandths. So \(3.209=3+\frac{2}{10}+\frac{9}{1000}\).
Step 3
Exam Tip
(2) दसवें और (9) हजारवें स्थान पर है। इसलिए \(3.209=3+\frac{2}{10}+\frac{9}{1000}\) है।
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कौन-सी संख्या (4.06) और (4.07) के बीच है?
Which number lies between (4.06) and (4.07)?
#number-systems
#decimal-representation
#between-decimals
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A (4.059)
B (4.070)
C (4.065)
D (4.075)
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Correct Answer
C. (4.065)
Step 1
Concept
(4.065) is greater than (4.060) and less than (4.070). Make decimal places equal while finding a number between two decimals.
Step 2
Why this answer is correct
The correct answer is C. (4.065). (4.065) is greater than (4.060) and less than (4.070). Make decimal places equal while finding a number between two decimals.
Step 3
Exam Tip
(4.065), (4.060) से बड़ा और (4.070) से छोटा है। बीच की संख्या खोजते समय दशमलव स्थान समान करें।
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दशमलव \(0.456456456\ldots\) में आवर्ती भाग कौन-सा है?
What is the recurring part in \(0.456456456\ldots\)?
#number-systems
#decimal-representation
#repeating-block
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A (45)
B (56)
C (456)
D (654)
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Step 1
Concept
The block (456) repeats continuously. The recurring part is the smallest repeating block.
Step 2
Why this answer is correct
The correct answer is C. (456). The block (456) repeats continuously. The recurring part is the smallest repeating block.
Step 3
Exam Tip
(456) का समूह लगातार दोहर रहा है। आवर्ती भाग सबसे छोटा दोहराने वाला समूह होता है।
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सरल रूप में \( \frac{14}{45} \) का दशमलव प्रसार कैसा होगा?
In simplest form, what type of decimal expansion will \( \frac{14}{45} \) have?
#number-systems
#decimal-representation
#recurring-test
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A सांत / Terminating
B असांत अनावर्ती / Non-terminating non-recurring
C पूर्णांक / Integer
D असांत आवर्ती / Non-terminating recurring
Explanation opens after your attempt
Correct Answer
D. असांत आवर्ती / Non-terminating recurring
Step 1
Concept
\(45=3^2\times5\) has (3), so the decimal will not terminate. Since it is rational, it will be non-terminating recurring.
Step 2
Why this answer is correct
The correct answer is D. असांत आवर्ती / Non-terminating recurring. \(45=3^2\times5\) has (3), so the decimal will not terminate. Since it is rational, it will be non-terminating recurring.
Step 3
Exam Tip
\(45=3^2\times5\) में (3) भी है, इसलिए दशमलव सांत नहीं होगा। परिमेय संख्या होने से यह असांत आवर्ती होगा।
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(0.125), (0.152), (0.1025) में सबसे बड़ी संख्या कौन-सी है?
Among (0.125), (0.152), and (0.1025), which number is the greatest?
#number-systems
#decimal-representation
#compare-decimals
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A (0.125)
B (0.152)
C (0.1025)
D तीनों बराबर हैं / All three are equal
Explanation opens after your attempt
Correct Answer
B. (0.152)
Step 1
Concept
(0.1520) is greater than (0.1250) and (0.1025). For comparison, write all decimals up to the same number of places.
Step 2
Why this answer is correct
The correct answer is B. (0.152). (0.1520) is greater than (0.1250) and (0.1025). For comparison, write all decimals up to the same number of places.
Step 3
Exam Tip
(0.1520), (0.1250) और (0.1025) से बड़ा है। तुलना के लिए सभी दशमलवों को समान स्थान तक लिखें।
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