भिन्न \( \frac{3}{5} \) का दशमलव रूप कौन-सा है?
Which is the decimal form of the fraction \( \frac{3}{5} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.3)
B (0.5)
C (0.6)
D (0.8)
Explanation opens after your attempt
Step 1
Concept
\(3\div5=0.6\). You can also solve easy fractions by making the denominator (10).
Step 2
Why this answer is correct
The correct answer is C. (0.6). \(3\div5=0.6\). You can also solve easy fractions by making the denominator (10).
Step 3
Exam Tip
\(3\div5=0.6\) होता है। आसान भिन्नों को हर को (10) बनाकर भी हल करें।
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भिन्न \( \frac{7}{10} \) का दशमलव प्रसार क्या होगा?
What will be the decimal expansion of \( \frac{7}{10} \)?
#number-systems
#decimal-representation
#tenths
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A (0.07)
B (0.70)
C (7.10)
D (0.7)
Explanation opens after your attempt
Step 1
Concept
In decimal form, \( \frac{7}{10}=0.7 \). If the denominator is (10), the decimal moves one place left.
Step 2
Why this answer is correct
The correct answer is D. (0.7). In decimal form, \( \frac{7}{10}=0.7 \). If the denominator is (10), the decimal moves one place left.
Step 3
Exam Tip
दशमलव में \( \frac{7}{10}=0.7 \) होता है। हर (10) हो तो दशमलव एक स्थान बाईं ओर आता है।
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दशमलव (0.125) के बराबर कौन-सी भिन्न है?
Which fraction is equal to the decimal (0.125)?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{1}{4} \)
B \( \frac{1}{8} \)
C \( \frac{1}{6} \)
D \( \frac{1}{5} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{1}{8} \)
Step 1
Concept
\(0.125=\frac{125}{1000}=\frac{1}{8}\). First write a decimal with denominator (10), (100), or (1000).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{1}{8} \). \(0.125=\frac{125}{1000}=\frac{1}{8}\). First write a decimal with denominator (10), (100), or (1000).
Step 3
Exam Tip
\(0.125=\frac{125}{1000}=\frac{1}{8}\) होता है। दशमलव को पहले (10), (100), (1000) के हर में लिखें।
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दशमलव \(0.444\ldots\) को बार संकेतन में कैसे लिखेंगे?
How is the decimal \(0.444\ldots\) written in bar notation?
#number-systems
#decimal-representation
#bar-notation
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A \(0.\overline{4}\)
B (0.4)
C \(0.\overline{44}4\)
D \(4.\overline{0}\)
Explanation opens after your attempt
Correct Answer
A. \(0.\overline{4}\)
Step 1
Concept
Since (4) repeats, a bar is placed over it. The bar is always written over the repeating part.
Step 2
Why this answer is correct
The correct answer is A. \(0.\overline{4}\). Since (4) repeats, a bar is placed over it. The bar is always written over the repeating part.
Step 3
Exam Tip
क्योंकि (4) बार-बार आता है, इसलिए उस पर बार लगाते हैं। बार हमेशा दोहराने वाले भाग पर लगाया जाता है।
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दशमलव \(1.232323\ldots\) में दोहराने वाला भाग कौन-सा है?
What is the repeating part in the decimal \(1.232323\ldots\)?
#number-systems
#decimal-representation
#repeating-block
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A (1)
B (23)
C (32)
D (123)
Explanation opens after your attempt
Step 1
Concept
The block (23) repeats again and again. While identifying the recurring part, choose the smallest repeating block.
Step 2
Why this answer is correct
The correct answer is B. (23). The block (23) repeats again and again. While identifying the recurring part, choose the smallest repeating block.
Step 3
Exam Tip
(23) का समूह बार-बार आ रहा है। आवर्ती भाग पहचानते समय सबसे छोटा दोहराने वाला समूह चुनें।
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दशमलव \(0.10100100010000\ldots\) कैसा है?
What type of decimal is \(0.10100100010000\ldots\)?
#number-systems
#decimal-representation
#non-recurring-decimal
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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
C. असांत अनावर्ती / Non-terminating non-recurring
Step 1
Concept
It has no fixed repeating pattern and it does not terminate. Such a decimal is non-terminating non-recurring.
Step 2
Why this answer is correct
The correct answer is C. असांत अनावर्ती / Non-terminating non-recurring. It has no fixed repeating pattern and it does not terminate. Such a decimal is non-terminating non-recurring.
Step 3
Exam Tip
इसमें अंकों का कोई निश्चित दोहराव नहीं है और यह समाप्त भी नहीं होता। ऐसा दशमलव असांत अनावर्ती होता है।
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यदि किसी परिमेय संख्या का दशमलव प्रसार सांत है, तो वह कैसा होता है?
If the decimal expansion of a rational number is terminating, what is its nature?
#number-systems
#decimal-representation
#rational-decimal
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A सीमित अंकों वाला / Having finite digits
B हमेशा अनावर्ती / Always non-recurring
C हमेशा ऋणात्मक / Always negative
D अपरिमेय / Irrational
Explanation opens after your attempt
Correct Answer
A. सीमित अंकों वाला / Having finite digits
Step 1
Concept
A terminating decimal has a finite number of digits after the decimal point. A rational number can have terminating or non-terminating recurring decimal expansion.
Step 2
Why this answer is correct
The correct answer is A. सीमित अंकों वाला / Having finite digits. A terminating decimal has a finite number of digits after the decimal point. A rational number can have terminating or non-terminating recurring decimal expansion.
Step 3
Exam Tip
सांत दशमलव में दशमलव के बाद अंकों की संख्या सीमित होती है। परिमेय संख्या का दशमलव सांत या असांत आवर्ती हो सकता है।
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भिन्न \( \frac{1}{3} \) का दशमलव प्रसार कौन-सा है?
Which is the decimal expansion of \( \frac{1}{3} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.3)
B \(0.333\ldots\)
C (0.13)
D (3.0)
Explanation opens after your attempt
Correct Answer
B. \(0.333\ldots\)
Step 1
Concept
On dividing (1) by (3), (3) repeats. So \( \frac{1}{3} \) is a non-terminating recurring decimal.
Step 2
Why this answer is correct
The correct answer is B. \(0.333\ldots\). On dividing (1) by (3), (3) repeats. So \( \frac{1}{3} \) is a non-terminating recurring decimal.
Step 3
Exam Tip
\(1\div3\) करने पर (3) बार-बार आता है। इसलिए \( \frac{1}{3} \) असांत आवर्ती दशमलव है।
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भिन्न \( \frac{2}{3} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{2}{3} \)?
#number-systems
#decimal-representation
#recurring-decimal
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A \(0.222\ldots\)
B (0.6)
C \(0.666\ldots\)
D (0.23)
Explanation opens after your attempt
Correct Answer
C. \(0.666\ldots\)
Step 1
Concept
Dividing (2) by (3) gives repeated (6). The repeating digit can also be shown with a bar.
Step 2
Why this answer is correct
The correct answer is C. \(0.666\ldots\). Dividing (2) by (3) gives repeated (6). The repeating digit can also be shown with a bar.
Step 3
Exam Tip
\(2\div3\) करने पर (6) बार-बार आता है। दोहराने वाले अंक को बार से भी दिखाया जा सकता है।
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भिन्न \( \frac{5}{8} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{5}{8} \)?
#number-systems
#decimal-representation
#terminating-decimal
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A (0.58)
B (0.625)
C (0.875)
D (0.525)
Explanation opens after your attempt
Correct Answer
B. (0.625)
Step 1
Concept
\( \frac{5}{8}=\frac{625}{1000}=0.625 \). A denominator of (8) can often be converted to (1000).
Step 2
Why this answer is correct
The correct answer is B. (0.625). \( \frac{5}{8}=\frac{625}{1000}=0.625 \). A denominator of (8) can often be converted to (1000).
Step 3
Exam Tip
\( \frac{5}{8}=\frac{625}{1000}=0.625 \) होता है। (8) वाले हर को (1000) में बदलना आसान रहता है।
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दशमलव (6.789) में (8) किस स्थान पर है?
In the decimal (6.789), at which place is (8)?
#number-systems
#decimal-representation
#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
B. सौवां / Hundredths
Step 1
Concept
(8) is the second digit after the decimal point, so it is in the hundredths place. Count digits after the decimal in order to identify place value.
Step 2
Why this answer is correct
The correct answer is B. सौवां / Hundredths. (8) is the second digit after the decimal point, so it is in the hundredths place. Count digits after the decimal in order to identify place value.
Step 3
Exam Tip
(8) दशमलव के बाद दूसरा अंक है, इसलिए यह सौवें स्थान पर है। स्थान मान पहचानने के लिए दशमलव के बाद अंकों को क्रम से गिनें।
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कौन-सी संख्या (0.5) के बराबर है?
Which number is equal to (0.5)?
#number-systems
#decimal-representation
#equivalent-decimals
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A (0.50)
B (0.05)
C (5.0)
D (0.005)
Explanation opens after your attempt
Step 1
Concept
Adding zeros at the end of a decimal does not change its value. Therefore, (0.5=0.50).
Step 2
Why this answer is correct
The correct answer is A. (0.50). Adding zeros at the end of a decimal does not change its value. Therefore, (0.5=0.50).
Step 3
Exam Tip
दशमलव के अंत में शून्य लगाने से मान नहीं बदलता। इसलिए (0.5=0.50) है।
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इनमें से सबसे बड़ी दशमलव संख्या कौन-सी है?
Which of these is the greatest decimal number?
#number-systems
#decimal-representation
#compare-decimals
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A (0.75)
B (0.705)
C (0.57)
D (0.7501)
Explanation opens after your attempt
Correct Answer
D. (0.7501)
Step 1
Concept
(0.7501) is slightly greater than (0.75). While comparing, write numbers up to the same number of decimal places.
Step 2
Why this answer is correct
The correct answer is D. (0.7501). (0.7501) is slightly greater than (0.75). While comparing, write numbers up to the same number of decimal places.
Step 3
Exam Tip
(0.7501), (0.75) से थोड़ा बड़ा है। तुलना करते समय अंकों को समान दशमलव स्थान तक लिखें।
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इनमें से सबसे छोटी दशमलव संख्या कौन-सी है?
Which of these is the smallest decimal number?
#number-systems
#decimal-representation
#ordering-decimals
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A (2.09)
B (2.9)
C (2.099)
D (2.19)
Explanation opens after your attempt
Step 1
Concept
(2.09) is smaller than (2.099) and the other options. In decimal comparison, missing places can be treated as zeros.
Step 2
Why this answer is correct
The correct answer is A. (2.09). (2.09) is smaller than (2.099) and the other options. In decimal comparison, missing places can be treated as zeros.
Step 3
Exam Tip
(2.09), (2.099) और अन्य विकल्पों से छोटा है। दशमलव तुलना में खाली स्थान पर शून्य मान सकते हैं।
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कौन-सा दशमलव \( \frac{1}{2} \) के बराबर है?
Which decimal is equal to \( \frac{1}{2} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.2)
B (0.25)
C (0.5)
D (1.2)
Explanation opens after your attempt
Step 1
Concept
\( \frac{1}{2}=0.5 \). The decimal form of one-half is commonly asked in exams.
Step 2
Why this answer is correct
The correct answer is C. (0.5). \( \frac{1}{2}=0.5 \). The decimal form of one-half is commonly asked in exams.
Step 3
Exam Tip
\( \frac{1}{2}=0.5 \) होता है। आधा का दशमलव रूप अक्सर प्रश्नों में आता है।
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दशमलव (0.04) को भिन्न में कैसे लिखेंगे?
How do you write the decimal (0.04) as a fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{4}{10} \)
B \( \frac{4}{100} \)
C \( \frac{40}{10} \)
D \( \frac{4}{1000} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{4}{100} \)
Step 1
Concept
In (0.04), (4) is in the hundredths place, so it is \( \frac{4}{100} \). For two decimal places, use denominator (100).
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 it is \( \frac{4}{100} \). For two decimal places, use denominator (100).
Step 3
Exam Tip
(0.04) में (4) सौवें स्थान पर है, इसलिए \( \frac{4}{100} \) होगा। दो दशमलव स्थान हों तो हर (100) लें।
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दशमलव (2.35) को मिश्रित भिन्न के रूप में कौन-सा लिखा जा सकता है?
Which mixed fraction form can represent (2.35)?
#number-systems
#decimal-representation
#mixed-fraction
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A \(2\frac{35}{100}\)
B \(2\frac{35}{10}\)
C \(35\frac{2}{100}\)
D \(2\frac{100}{35}\)
Explanation opens after your attempt
Correct Answer
A. \(2\frac{35}{100}\)
Step 1
Concept
\(2.35=2+\frac{35}{100}\). Write the whole-number part and decimal part separately.
Step 2
Why this answer is correct
The correct answer is A. \(2\frac{35}{100}\). \(2.35=2+\frac{35}{100}\). Write the whole-number part and decimal part separately.
Step 3
Exam Tip
\(2.35=2+\frac{35}{100}\) है। दशमलव के पूर्णांक और दशमलव भाग को अलग करके लिखें।
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दशमलव (0.007) में (7) किस स्थान पर है?
In (0.007), at which place is (7)?
#number-systems
#decimal-representation
#place-value
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A दसवां / Tenths
B सौवां / Hundredths
C हजारवां / Thousandths
D दस हजारवां / Ten-thousandths
Explanation opens after your attempt
Correct Answer
C. हजारवां / Thousandths
Step 1
Concept
(7) is in the third place after the decimal, so it is in the thousandths place. Zeros are also important while counting places.
Step 2
Why this answer is correct
The correct answer is C. हजारवां / Thousandths. (7) is in the third place after the decimal, so it is in the thousandths place. Zeros are also important while counting places.
Step 3
Exam Tip
(7) दशमलव के बाद तीसरे स्थान पर है, इसलिए यह हजारवें स्थान पर है। शून्य भी स्थान गिनने में महत्वपूर्ण होते हैं।
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यदि किसी भिन्न का हर (25) है, तो उसका दशमलव प्रसार कैसा होगा?
If the denominator of a fraction is (25), what type of decimal expansion will it have?
#number-systems
#decimal-representation
#denominator-test
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A असांत अनावर्ती / Non-terminating non-recurring
B असांत आवर्ती / Non-terminating recurring
C सांत / Terminating
D निर्धारित नहीं / Not fixed
Explanation opens after your attempt
Correct Answer
C. सांत / Terminating
Step 1
Concept
\(25=5^2\), so the denominator has only the factor (5). Such a fraction has a terminating decimal expansion.
Step 2
Why this answer is correct
The correct answer is C. सांत / Terminating. \(25=5^2\), so the denominator has only the factor (5). Such a fraction has a terminating decimal expansion.
Step 3
Exam Tip
\(25=5^2\) है, इसलिए ऐसा हर केवल (5) के गुणनखंड से बना है। ऐसे भिन्न का दशमलव प्रसार सांत होता है।
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सरल रूप में \( \frac{3}{40} \) का दशमलव प्रसार कैसा होगा?
In simplest form, what type of decimal expansion will \( \frac{3}{40} \) 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 केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. सांत / Terminating
Step 1
Concept
\(40=2^3\times5\), so the decimal will terminate. If the denominator has only (2) and (5), the decimal terminates.
Step 2
Why this answer is correct
The correct answer is A. सांत / Terminating. \(40=2^3\times5\), so the decimal will terminate. If the denominator has only (2) and (5), the decimal terminates.
Step 3
Exam Tip
\(40=2^3\times5\) है, इसलिए दशमलव सांत होगा। हर में केवल (2) और (5) हों तो दशमलव सांत होता है।
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सरल रूप में \( \frac{5}{6} \) का दशमलव प्रसार कैसा है?
In simplest form, what type of decimal expansion does \( \frac{5}{6} \) have?
#number-systems
#decimal-representation
#recurring-test
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A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D शून्य / Zero
Explanation opens after your attempt
Correct Answer
B. असांत आवर्ती / Non-terminating recurring
Step 1
Concept
\(6=2\times3\) includes (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 B. असांत आवर्ती / Non-terminating recurring. \(6=2\times3\) includes (3), so the decimal will not terminate. Since it is rational, it will be non-terminating recurring.
Step 3
Exam Tip
\(6=2\times3\) में (3) भी है, इसलिए दशमलव सांत नहीं होगा। परिमेय भिन्न होने के कारण यह असांत आवर्ती होगा।
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कौन-सी भिन्न का दशमलव प्रसार असांत आवर्ती होगा?
Which fraction will have a non-terminating recurring decimal expansion?
#number-systems
#decimal-representation
#non-terminating-recurring
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A \( \frac{3}{10} \)
B \( \frac{7}{8} \)
C \( \frac{11}{25} \)
D \( \frac{2}{7} \)
Explanation opens after your attempt
Correct Answer
D. \( \frac{2}{7} \)
Step 1
Concept
(7) is neither (2) nor (5), 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. \( \frac{2}{7} \). (7) is neither (2) nor (5), so the decimal will not terminate. Since it is rational, it will be non-terminating recurring.
Step 3
Exam Tip
(7) न तो (2) है और न (5), इसलिए दशमलव सांत नहीं होगा। परिमेय संख्या होने से यह असांत आवर्ती होगा।
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दशमलव (0.375) को सरल भिन्न में बदलने पर क्या मिलेगा?
What is obtained by converting (0.375) into a simplified fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{3}{8} \)
B \( \frac{37}{100} \)
C \( \frac{15}{40} \)
D \( \frac{375}{10} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{3}{8} \)
Step 1
Concept
\(0.375=\frac{375}{1000}=\frac{3}{8}\). Always reduce the fraction to simplest form.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{3}{8} \). \(0.375=\frac{375}{1000}=\frac{3}{8}\). Always reduce the fraction to simplest form.
Step 3
Exam Tip
\(0.375=\frac{375}{1000}=\frac{3}{8}\) है। भिन्न को हमेशा सरल रूप में बदलें।
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कौन-सा दशमलव \( \frac{11}{100} \) के बराबर है?
Which decimal is equal to \( \frac{11}{100} \)?
#number-systems
#decimal-representation
#hundredths
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A (1.1)
B (0.11)
C (0.011)
D (11.00)
Explanation opens after your attempt
Step 1
Concept
With denominator (100), (11) is written in two decimal places. Therefore, \( \frac{11}{100}=0.11 \).
Step 2
Why this answer is correct
The correct answer is B. (0.11). With denominator (100), (11) is written in two decimal places. Therefore, \( \frac{11}{100}=0.11 \).
Step 3
Exam Tip
हर (100) होने पर (11) को दो दशमलव स्थानों में लिखते हैं। इसलिए \( \frac{11}{100}=0.11 \) है।
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दशमलव (4.205) में (2) का स्थानीय मान क्या है?
What is the place value of (2) in (4.205)?
#number-systems
#decimal-representation
#place-value
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A \( \frac{2}{100} \)
B (2)
C \( \frac{2}{10} \)
D \( \frac{2}{1000} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{2}{10} \)
Step 1
Concept
(2) is in the first place after the decimal, so its place value is \( \frac{2}{10} \). The first decimal place is called tenths.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{2}{10} \). (2) is in the first place after the decimal, so its place value is \( \frac{2}{10} \). The first decimal place is called tenths.
Step 3
Exam Tip
(2) दशमलव के बाद पहले स्थान पर है, इसलिए उसका स्थानीय मान \( \frac{2}{10} \) है। पहले दशमलव स्थान को दसवां कहते हैं।
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दशमलव (5.060) का मान किसके बराबर है?
The decimal (5.060) is equal to which of the following?
#number-systems
#decimal-representation
#equivalent-decimals
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A (5.6)
B (5.006)
C (5.60)
D (5.06)
Explanation opens after your attempt
Step 1
Concept
A zero at the end of a decimal does not change the value. Therefore, (5.060=5.06).
Step 2
Why this answer is correct
The correct answer is D. (5.06). A zero at the end of a decimal does not change the value. Therefore, (5.060=5.06).
Step 3
Exam Tip
दशमलव के अंत का शून्य मान नहीं बदलता। इसलिए (5.060=5.06) है।
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कौन-सी संख्या \( \frac{13}{50} \) का दशमलव रूप है?
Which number is the decimal form of \( \frac{13}{50} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.13)
B (0.26)
C (0.52)
D (1.35)
Explanation opens after your attempt
Step 1
Concept
\( \frac{13}{50}=\frac{26}{100}=0.26 \). Making the denominator (100) helps find the decimal easily.
Step 2
Why this answer is correct
The correct answer is B. (0.26). \( \frac{13}{50}=\frac{26}{100}=0.26 \). Making the denominator (100) helps find the decimal easily.
Step 3
Exam Tip
\( \frac{13}{50}=\frac{26}{100}=0.26 \) है। हर को (100) बनाकर दशमलव आसानी से निकाला जा सकता है।
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दशमलव \(0.0909\ldots\) का बार संकेतन क्या है?
What is the bar notation of \(0.0909\ldots\)?
#number-systems
#decimal-representation
#bar-notation
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A \(0.\overline{9}\)
B \(0.0\overline{9}\)
C \(0.\overline{09}\)
D (0.09)
Explanation opens after your attempt
Correct Answer
C. \(0.\overline{09}\)
Step 1
Concept
Here the block (09) repeats again and again. So the bar is placed over (09).
Step 2
Why this answer is correct
The correct answer is C. \(0.\overline{09}\). Here the block (09) repeats again and again. So the bar is placed over (09).
Step 3
Exam Tip
यहां (09) का समूह बार-बार दोहरता है। इसलिए बार (09) पर लगेगा।
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कौन-सी दशमलव संख्या अपरिमेय संख्या का उदाहरण हो सकती है?
Which decimal number can be an example of an irrational number?
#number-systems
#decimal-representation
#irrational-decimal
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A (0.25)
B \(0.777\ldots\)
C \(3.14159\ldots\) बिना निश्चित दोहराव / \(3.14159\ldots\) without fixed repetition
D (2.50)
Explanation opens after your attempt
Correct Answer
C. \(3.14159\ldots\) बिना निश्चित दोहराव / \(3.14159\ldots\) without fixed repetition
Step 1
Concept
An irrational number has a non-terminating non-recurring decimal expansion. A non-terminating decimal without fixed repetition can be irrational.
Step 2
Why this answer is correct
The correct answer is C. \(3.14159\ldots\) बिना निश्चित दोहराव / \(3.14159\ldots\) without fixed repetition. An irrational number has a non-terminating non-recurring decimal expansion. A non-terminating decimal without fixed repetition can be irrational.
Step 3
Exam Tip
अपरिमेय संख्या का दशमलव प्रसार असांत अनावर्ती होता है। बिना निश्चित दोहराव वाला असांत दशमलव अपरिमेय हो सकता है।
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(0.875) में दशमलव के बाद कितने अंक हैं?
How many digits are there after the decimal point in (0.875)?
#number-systems
#decimal-representation
#decimal-places
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
In (0.875), the digits after the decimal are (8), (7), and (5), so there are (3) digits. Count zeros too when they occur after the decimal.
Step 2
Why this answer is correct
The correct answer is C. (3). In (0.875), the digits after the decimal are (8), (7), and (5), so there are (3) digits. Count zeros too when they occur after the decimal.
Step 3
Exam Tip
(0.875) में दशमलव के बाद (8), (7), (5) हैं, यानी (3) अंक हैं। अंक गिनते समय शून्य को भी गिनें।
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दशमलव (7.003) में दशमलव भाग कौन-सा है?
What is the decimal part in (7.003)?
#number-systems
#decimal-representation
#decimal-part
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A (7)
B (003)
C (7003)
D (3.7)
Explanation opens after your attempt
Step 1
Concept
The part to the right of the decimal point is the decimal part. In (7.003), it is (003).
Step 2
Why this answer is correct
The correct answer is B. (003). The part to the right of the decimal point is the decimal part. In (7.003), it is (003).
Step 3
Exam Tip
दशमलव बिंदु के दाईं ओर का भाग दशमलव भाग होता है। (7.003) में यह (003) है।
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दशमलव (12.45) में पूर्णांक भाग कौन-सा है?
What is the whole-number part in (12.45)?
#number-systems
#decimal-representation
#whole-number-part
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A (45)
B (0.45)
C (12)
D (1245)
Explanation opens after your attempt
Step 1
Concept
The part to the left of the decimal point is the whole-number part. In (12.45), the whole-number part is (12).
Step 2
Why this answer is correct
The correct answer is C. (12). The part to the left of the decimal point is the whole-number part. In (12.45), the whole-number part is (12).
Step 3
Exam Tip
दशमलव बिंदु के बाईं ओर का भाग पूर्णांक भाग होता है। (12.45) में पूर्णांक भाग (12) है।
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कौन-सी संख्या (0.09) से बड़ी है?
Which number is greater than (0.09)?
#number-systems
#decimal-representation
#compare-decimals
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A (0.009)
B (0.091)
C (0.09)
D (0.090)
Explanation opens after your attempt
Correct Answer
B. (0.091)
Step 1
Concept
(0.091) is greater than (0.090). For comparison, (0.09) can be written as (0.090).
Step 2
Why this answer is correct
The correct answer is B. (0.091). (0.091) is greater than (0.090). For comparison, (0.09) can be written as (0.090).
Step 3
Exam Tip
(0.091), (0.090) से बड़ा है। तुलना के लिए (0.09) को (0.090) लिख सकते हैं।
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कौन-सी संख्या (0.3) और (0.4) के बीच है?
Which number lies between (0.3) and (0.4)?
#number-systems
#decimal-representation
#number-line
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A (0.25)
B (0.45)
C (0.35)
D (0.5)
Explanation opens after your attempt
Step 1
Concept
(0.35) is greater than (0.30) and less than (0.40). Compare decimals by writing them up to equal places.
Step 2
Why this answer is correct
The correct answer is C. (0.35). (0.35) is greater than (0.30) and less than (0.40). Compare decimals by writing them up to equal places.
Step 3
Exam Tip
(0.35), (0.30) से बड़ा और (0.40) से छोटा है। दशमलवों को समान स्थान तक लिखकर तुलना करें।
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दशमलव (0.6) को प्रतिशत में बदलने पर क्या मिलेगा?
What do we get when (0.6) is converted into a percentage?
#number-systems
#decimal-representation
#decimal-percent
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A (6%)
B (60%)
C (0.6%)
D (600%)
Explanation opens after your attempt
Step 1
Concept
\(0.6\times100=60\), so we get (60%). To convert a decimal into a percentage, multiply by (100).
Step 2
Why this answer is correct
The correct answer is B. (60%). \(0.6\times100=60\), so we get (60%). To convert a decimal into a percentage, multiply by (100).
Step 3
Exam Tip
\(0.6\times100=60\), इसलिए (60%) मिलता है। दशमलव को प्रतिशत में बदलने के लिए (100) से गुणा करें।
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दशमलव (1.25) को भिन्न में लिखने पर कौन-सा रूप सही है?
Which form is correct when (1.25) is written as a fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{5}{4} \)
B \( \frac{125}{10} \)
C \( \frac{25}{100} \)
D \( \frac{4}{5} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{5}{4} \)
Step 1
Concept
\(1.25=\frac{125}{100}=\frac{5}{4}\). After converting a decimal into a fraction, simplify it.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{5}{4} \). \(1.25=\frac{125}{100}=\frac{5}{4}\). After converting a decimal into a fraction, simplify it.
Step 3
Exam Tip
\(1.25=\frac{125}{100}=\frac{5}{4}\) है। दशमलव को भिन्न में बदलकर सरल करना जरूरी है।
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कौन-सा दशमलव असांत आवर्ती नहीं है?
Which decimal is not non-terminating recurring?
#number-systems
#decimal-representation
#terminating-vs-recurring
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A \(0.121212\ldots\)
B \(0.777\ldots\)
C (0.25)
D \(3.454545\ldots\)
Explanation opens after your attempt
Step 1
Concept
(0.25) is terminating because it ends. Therefore, it is not non-terminating recurring.
Step 2
Why this answer is correct
The correct answer is C. (0.25). (0.25) is terminating because it ends. Therefore, it is not non-terminating recurring.
Step 3
Exam Tip
(0.25) सांत दशमलव है क्योंकि यह समाप्त हो जाता है। इसलिए यह असांत आवर्ती नहीं है।
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दशमलव (0.0005) में (5) किस स्थान पर है?
In (0.0005), at which place is (5)?
#number-systems
#decimal-representation
#place-value
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A दसवां / Tenths
B सौवां / Hundredths
C हजारवां / Thousandths
D दस हजारवां / Ten-thousandths
Explanation opens after your attempt
Correct Answer
D. दस हजारवां / Ten-thousandths
Step 1
Concept
(5) 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. दस हजारवां / Ten-thousandths. (5) is in the fourth place after the decimal point. The fourth place is ten-thousandths.
Step 3
Exam Tip
(5) दशमलव के बाद चौथे स्थान पर है। चौथा स्थान दस हजारवां होता है।
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भिन्न \( \frac{17}{20} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{17}{20} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.17)
B (0.85)
C (0.80)
D (1.20)
Explanation opens after your attempt
Step 1
Concept
\( \frac{17}{20}=\frac{85}{100}=0.85 \). Multiply denominator (20) by (5) to make (100).
Step 2
Why this answer is correct
The correct answer is B. (0.85). \( \frac{17}{20}=\frac{85}{100}=0.85 \). Multiply denominator (20) by (5) to make (100).
Step 3
Exam Tip
\( \frac{17}{20}=\frac{85}{100}=0.85 \) है। हर (20) को (100) बनाने के लिए (5) से गुणा करें।
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कौन-सा दशमलव \( \frac{1}{8} \) से बड़ा है?
Which decimal is greater than \( \frac{1}{8} \)?
#number-systems
#decimal-representation
#compare-decimals
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A (0.12)
B (0.124)
C (0.13)
D (0.125)
Explanation opens after your attempt
Step 1
Concept
\( \frac{1}{8}=0.125 \) and (0.13=0.130). Therefore, (0.13) is greater than (0.125).
Step 2
Why this answer is correct
The correct answer is C. (0.13). \( \frac{1}{8}=0.125 \) and (0.13=0.130). Therefore, (0.13) is greater than (0.125).
Step 3
Exam Tip
\( \frac{1}{8}=0.125 \) और (0.13=0.130) है। इसलिए (0.13), (0.125) से बड़ा है।
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दशमलव (9.99) के ठीक बाद (0.01) जोड़ने पर कौन-सी संख्या मिलेगी?
What number is obtained by adding (0.01) to (9.99)?
#number-systems
#decimal-representation
#decimal-addition
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A (9.100)
B (10.00)
C (9.991)
D (10.01)
Explanation opens after your attempt
Correct Answer
B. (10.00)
Step 1
Concept
(9.99+0.01=10.00). While adding decimals, align the decimal points.
Step 2
Why this answer is correct
The correct answer is B. (10.00). (9.99+0.01=10.00). While adding decimals, align the decimal points.
Step 3
Exam Tip
(9.99+0.01=10.00) होता है। दशमलव जोड़ते समय दशमलव बिंदुओं को एक सीध में रखें।
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भिन्न \( \frac{1}{16} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{1}{16} \)?
#number-systems
#decimal-representation
#fraction-to-decimal
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A (0.016)
B (0.0625)
C (0.625)
D (0.16)
Explanation opens after your attempt
Correct Answer
B. (0.0625)
Step 1
Concept
\( \frac{1}{16}=\frac{625}{10000}=0.0625 \). Try to convert the denominator into (10), (100), (1000), or (10000).
Step 2
Why this answer is correct
The correct answer is B. (0.0625). \( \frac{1}{16}=\frac{625}{10000}=0.0625 \). Try to convert the denominator into (10), (100), (1000), or (10000).
Step 3
Exam Tip
\( \frac{1}{16}=\frac{625}{10000}=0.0625 \) होता है। हर को (10), (100), (1000) या (10000) बनाने की कोशिश करें।
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भिन्न \( \frac{7}{25} \) का दशमलव रूप कौन-सा है?
Which is the decimal form of \( \frac{7}{25} \)?
#number-systems
#decimal-representation
#hundredths
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A (0.28)
B (0.25)
C (0.72)
D (0.07)
Explanation opens after your attempt
Step 1
Concept
\( \frac{7}{25}=\frac{28}{100}=0.28 \). Multiply (25) by (4) to make (100).
Step 2
Why this answer is correct
The correct answer is A. (0.28). \( \frac{7}{25}=\frac{28}{100}=0.28 \). Multiply (25) by (4) to make (100).
Step 3
Exam Tip
\( \frac{7}{25}=\frac{28}{100}=0.28 \) है। (25) को (100) बनाने के लिए (4) से गुणा करें।
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दशमलव (2.07) का विस्तारित रूप कौन-सा है?
Which is the expanded form of the decimal (2.07)?
#number-systems
#decimal-representation
#expanded-form
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A \(2+\frac{7}{10}\)
B \(2+\frac{7}{100}\)
C \(20+\frac{7}{100}\)
D \(2+\frac{70}{1000}\)
Explanation opens after your attempt
Correct Answer
B. \(2+\frac{7}{100}\)
Step 1
Concept
In (2.07), (7) is in the hundredths place. So the expanded form is \(2+\frac{7}{100}\).
Step 2
Why this answer is correct
The correct answer is B. \(2+\frac{7}{100}\). In (2.07), (7) is in the hundredths place. So the expanded form is \(2+\frac{7}{100}\).
Step 3
Exam Tip
(2.07) में (7) सौवें स्थान पर है। इसलिए विस्तारित रूप \(2+\frac{7}{100}\) होगा।
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कौन-सी दशमलव संख्या (1.2) और (1.3) के बीच है?
Which decimal number lies between (1.2) and (1.3)?
#number-systems
#decimal-representation
#decimal-comparison
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A (1.19)
B (1.31)
C (1.25)
D (1.03)
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Step 1
Concept
(1.25) is greater than (1.20) and less than (1.30). Writing equal decimal places is useful in comparison.
Step 2
Why this answer is correct
The correct answer is C. (1.25). (1.25) is greater than (1.20) and less than (1.30). Writing equal decimal places is useful in comparison.
Step 3
Exam Tip
(1.25), (1.20) से बड़ा और (1.30) से छोटा है। तुलना में दशमलव स्थान बराबर लिखना उपयोगी है।
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दशमलव (0.0045) को सरल भिन्न में बदलने पर क्या मिलेगा?
What is obtained when (0.0045) is converted into a simplified fraction?
#number-systems
#decimal-representation
#decimal-to-fraction
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A \( \frac{45}{100} \)
B \( \frac{9}{2000} \)
C \( \frac{45}{1000} \)
D \( \frac{9}{200} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{9}{2000} \)
Step 1
Concept
\(0.0045=\frac{45}{10000}=\frac{9}{2000}\). Count decimal places to write the correct denominator.
Step 2
Why this answer is correct
The correct answer is B. \( \frac{9}{2000} \). \(0.0045=\frac{45}{10000}=\frac{9}{2000}\). Count decimal places to write the correct denominator.
Step 3
Exam Tip
\(0.0045=\frac{45}{10000}=\frac{9}{2000}\) है। दशमलव स्थान गिनकर हर सही लिखें।
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दशमलव \(0.1252525\ldots\) में दोहराने वाला भाग कौन-सा है?
What is the repeating part in the decimal \(0.1252525\ldots\)?
#number-systems
#decimal-representation
#repeating-block
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A (1)
B (12)
C (25)
D (125)
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Step 1
Concept
After the first (1), the block (25) repeats. The recurring part is the part that repeats continuously.
Step 2
Why this answer is correct
The correct answer is C. (25). After the first (1), the block (25) repeats. The recurring part is the part that repeats continuously.
Step 3
Exam Tip
पहले (1) के बाद (25) बार-बार दोहरता है। आवर्ती भाग वही होता है जो लगातार दोहरता है।
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सरल रूप में \( \frac{4}{21} \) का दशमलव प्रसार कैसा होगा?
In simplest form, what type of decimal expansion will \( \frac{4}{21} \) have?
#number-systems
#decimal-representation
#recurring-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
B. असांत आवर्ती / Non-terminating recurring
Step 1
Concept
\(21=3\times7\) has factors other than (2) and (5). So this rational number gives a non-terminating recurring decimal.
Step 2
Why this answer is correct
The correct answer is B. असांत आवर्ती / Non-terminating recurring. \(21=3\times7\) has factors other than (2) and (5). So this rational number gives a non-terminating recurring decimal.
Step 3
Exam Tip
\(21=3\times7\) में (2) और (5) के अलावा गुणनखंड हैं। इसलिए यह परिमेय संख्या असांत आवर्ती दशमलव देगी।
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दशमलव (18.305) में (5) का स्थानीय मान क्या है?
What is the place value of (5) in (18.305)?
#number-systems
#decimal-representation
#place-value
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A \( \frac{5}{10} \)
B \( \frac{5}{100} \)
C \( \frac{5}{1000} \)
D (5)
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Correct Answer
C. \( \frac{5}{1000} \)
Step 1
Concept
(5) 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 C. \( \frac{5}{1000} \). (5) is in the third place after the decimal point. The third place is the thousandths place.
Step 3
Exam Tip
(5) दशमलव के बाद तीसरे स्थान पर है। तीसरा स्थान हजारवां होता है।
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दशमलव (0.505), (0.55), (0.5005) में सबसे छोटी संख्या कौन-सी है?
Among (0.505), (0.55), and (0.5005), which number is the smallest?
#number-systems
#decimal-representation
#ordering-decimals
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A (0.505)
B (0.55)
C (0.5005)
D (0.555)
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Correct Answer
C. (0.5005)
Step 1
Concept
(0.5005) is smaller than (0.5050) and (0.5500). For comparison, write all decimals up to the same number of places.
Step 2
Why this answer is correct
The correct answer is C. (0.5005). (0.5005) is smaller than (0.5050) and (0.5500). For comparison, write all decimals up to the same number of places.
Step 3
Exam Tip
(0.5005), (0.5050) और (0.5500) से छोटा है। तुलना के लिए सभी दशमलवों को समान स्थान तक लिखें।
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