कौन सा विकल्प अनंत लेकिन आवर्ती दशमलव है?
Which option is a non terminating but repeating decimal?
#repeating-decimal
#rational-numbers
#decimal
A (4.565656...)
B (4.567891011...)
C (4.56)
D \(\sqrt{4}\)
Explanation opens after your attempt
Correct Answer
A. (4.565656...)
Step 1
Concept
The block (56) repeats so it is a repeating decimal. A repeating decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. (4.565656...). The block (56) repeats so it is a repeating decimal. A repeating decimal is rational.
Step 3
Exam Tip
(56) बार-बार दोहर रहा है इसलिए यह आवर्ती दशमलव है। आवर्ती दशमलव परिमेय होता है।
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(0.875) किस प्रकार की संख्या है?
What type of number is (0.875)?
#terminating-decimal
#rational-numbers
#classification
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
(0.875) is a terminating decimal so it is rational. A terminating decimal can be written as a fraction.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. (0.875) is a terminating decimal so it is rational. A terminating decimal can be written as a fraction.
Step 3
Exam Tip
(0.875) सांत दशमलव है इसलिए परिमेय है। सांत दशमलव को भिन्न में लिखा जा सकता है।
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यदि (m) और (n) परिमेय संख्याएँ हैं तो \(m\times n\) किस प्रकार की संख्या होगी?
If (m) and (n) are rational numbers then what type of number will \(m\times n\) be?
#rational-numbers
#multiplication
#closure
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C हमेशा पूर्णांक / Always integer
D हमेशा ऋणात्मक / Always negative
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The product of two rational numbers is rational. But the result is not always an integer.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The product of two rational numbers is rational. But the result is not always an integer.
Step 3
Exam Tip
दो परिमेय संख्याओं का गुणनफल परिमेय होता है। लेकिन परिणाम हमेशा पूर्णांक नहीं होता।
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यदि (m) और (n) परिमेय संख्याएँ हैं तो (m+n) किस प्रकार की संख्या होगी?
If (m) and (n) are rational numbers then what type of number will (m+n) be?
#rational-numbers
#addition
#closure
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C हमेशा प्राकृतिक संख्या / Always natural number
D हमेशा शून्य / Always zero
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The sum of two rational numbers is rational. This is called closure of rational numbers.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The sum of two rational numbers is rational. This is called closure of rational numbers.
Step 3
Exam Tip
दो परिमेय संख्याओं का योग परिमेय होता है। इसे परिमेय संख्याओं की बंदता कहा जाता है।
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कौन सा विकल्प सांत दशमलव नहीं है लेकिन परिमेय है?
Which option is not terminating but rational?
#recurring-decimal
#rational-numbers
#non-terminating
A (0.121212...)
B (0.875)
C \(\sqrt{12}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. (0.121212...)
Step 1
Concept
(0.121212...) is a non terminating recurring decimal. A non terminating recurring decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. (0.121212...). (0.121212...) is a non terminating recurring decimal. A non terminating recurring decimal is rational.
Step 3
Exam Tip
(0.121212...) अनंत आवर्ती दशमलव है। अनंत आवर्ती दशमलव परिमेय होता है।
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यदि (x=0.125) है तो (x) किस प्रकार की संख्या है?
If (x=0.125), what type of number is (x)?
#terminating-decimal
#rational-numbers
#classification
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
(0.125) is terminating so it is rational. It can also be written as \(\frac{1}{8}\).
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. (0.125) is terminating so it is rational. It can also be written as \(\frac{1}{8}\).
Step 3
Exam Tip
(0.125) सांत दशमलव है इसलिए परिमेय है। इसे \(\frac{1}{8}\) भी लिखा जा सकता है।
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कौन सी संख्या पूर्ण संख्या नहीं है लेकिन परिमेय है?
Which number is not a whole number but is rational?
#whole-numbers
#rational-numbers
#classification
A \(\frac{3}{8}\)
B (6)
C (0)
D \(\sqrt{14}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{8}\)
Step 1
Concept
\(\frac{3}{8}\) is rational but not a whole number. Whole numbers are \(0,1,2,\ldots\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{8}\). \(\frac{3}{8}\) is rational but not a whole number. Whole numbers are \(0,1,2,\ldots\).
Step 3
Exam Tip
\(\frac{3}{8}\) परिमेय है लेकिन पूर्ण संख्या नहीं है। पूर्ण संख्या \(0,1,2,\ldots\) होती हैं।
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यदि (a) एक परिमेय संख्या है तो (a+0) किस प्रकार की संख्या होगी?
If (a) is a rational number then what type of number is (a+0)?
#rational-numbers
#zero
#properties
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D हमेशा प्राकृतिक संख्या / Always natural number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
Adding (0) does not change the number. So (a+0=a) remains rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. Adding (0) does not change the number. So (a+0=a) remains rational.
Step 3
Exam Tip
(0) जोड़ने से संख्या नहीं बदलती। इसलिए (a+0=a) परिमेय रहेगा।
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\(\sqrt[3]{8}\) किस प्रकार की संख्या है?
What type of number is \(\sqrt[3]{8}\)?
#cube-root
#rational-numbers
#perfect-cube
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अनंत दशमलव / Infinite decimal
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt[3]{8}=2\), which is rational. The cube root of a perfect cube is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt[3]{8}=2\), which is rational. The cube root of a perfect cube is rational.
Step 3
Exam Tip
\(\sqrt[3]{8}=2\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है।
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\(\sqrt{\frac{16}{25}}\) का मान क्या है?
What is the value of \(\sqrt{\frac{16}{25}}\)?
#square-root
#fraction
#rational-numbers
A \(\frac{4}{5}\)
B \(\frac{16}{5}\)
C \(\frac{8}{25}\)
D \(\frac{2}{5}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{4}{5}\)
Step 1
Concept
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). This is a rational number.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{4}{5}\). \(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). This is a rational number.
Step 3
Exam Tip
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\) है। यह परिमेय संख्या है।
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\(\sqrt{0.09}\) का मान क्या है?
What is the value of \(\sqrt{0.09}\)?
#decimal-square-root
#rational-numbers
#calculation
A (0.3)
B (0.03)
C (3)
D (0.9)
Explanation opens after your attempt
Step 1
Concept
Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
Step 2
Why this answer is correct
The correct answer is A. (0.3). Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
Step 3
Exam Tip
\(0.3\times0.3=0.09\) इसलिए \(\sqrt{0.09}=0.3\)। यह सांत दशमलव है।
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(-8) किस प्रकार की संख्या है?
What type of number is (-8)?
#integers
#rational-numbers
#real-numbers
A परिमेय और वास्तविक / Rational and real
B अपरिमेय / Irrational
C अवास्तविक / Non real
D केवल प्राकृतिक / Natural only
Explanation opens after your attempt
Correct Answer
A. परिमेय और वास्तविक / Rational and real
Step 1
Concept
(-8) can be written as \(\frac{-8}{1}\) so it is rational. Every integer is also real.
Step 2
Why this answer is correct
The correct answer is A. परिमेय और वास्तविक / Rational and real. (-8) can be written as \(\frac{-8}{1}\) so it is rational. Every integer is also real.
Step 3
Exam Tip
\(-8=\frac{-8}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। हर पूर्णांक वास्तविक भी होता है।
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कौन सा विकल्प केवल परिमेय संख्याएँ दिखाता है?
Which option shows only rational numbers?
#rational-numbers
#set-classification
#mcq
A (4), (-2), (0.75)
B \(\sqrt{2}\), (3), (5)
C \(\pi\), (1), (2)
D \(\sqrt{10}\), \(\sqrt{25}\), (7)
Explanation opens after your attempt
Correct Answer
A. (4), (-2), (0.75)
Step 1
Concept
Integers and terminating decimals are rational. Options containing irrational roots or \(\pi\) are not only rational.
Step 2
Why this answer is correct
The correct answer is A. (4), (-2), (0.75). Integers and terminating decimals are rational. Options containing irrational roots or \(\pi\) are not only rational.
Step 3
Exam Tip
पूर्णांक और सांत दशमलव परिमेय होते हैं। जिन विकल्पों में अपरिमेय जड़ या \(\pi\) है वे केवल परिमेय नहीं हैं।
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\(\sqrt{121}\) का मान किस प्रकार की संख्या है?
What type of number is the value of \(\sqrt{121}\)?
#perfect-square
#square-root
#rational-numbers
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D शून्य / Zero
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt{121}=11\) and (11) is rational. The square root of a perfect square is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt{121}=11\) and (11) is rational. The square root of a perfect square is rational.
Step 3
Exam Tip
\(\sqrt{121}=11\) है और (11) परिमेय है। पूर्ण वर्ग की वर्गमूल परिमेय होती है।
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दशमलव (3.272727...) किस प्रकार की संख्या है?
What type of number is the decimal (3.272727...)?
#recurring-decimal
#rational-numbers
#decimal
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C पूर्णांक / Integer
D अवास्तविक संख्या / Non real number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The block (27) repeats so it is a recurring decimal. Every recurring decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The block (27) repeats so it is a recurring decimal. Every recurring decimal is rational.
Step 3
Exam Tip
इसमें (27) बार-बार दोहरता है इसलिए यह आवर्ती दशमलव है। हर आवर्ती दशमलव परिमेय होता है।
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यदि किसी संख्या का दशमलव विस्तार समाप्त हो जाता है तो वह कैसी संख्या होती है?
If the decimal expansion of a number terminates then what type of number is it?
#terminating-decimal
#rational-numbers
#decimal
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D सिर्फ प्राकृतिक संख्या / Natural number only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
A terminating decimal can be written as a fraction. Hence it is a rational number.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. A terminating decimal can be written as a fraction. Hence it is a rational number.
Step 3
Exam Tip
सांत दशमलव को भिन्न के रूप में लिखा जा सकता है। इसलिए यह परिमेय संख्या होती है।
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कौन सी संख्या परिमेय है?
Which number is rational?
#rational-numbers
#fractions
#classification
A \(-\frac{7}{5}\)
B \(\sqrt{21}\)
C \(\sqrt{31}\)
D \(\pi+1\)
Explanation opens after your attempt
Correct Answer
A. \(-\frac{7}{5}\)
Step 1
Concept
It is a ratio of two integers so it is rational. In \(\frac{p}{q}\) form \(q\neq0\).
Step 2
Why this answer is correct
The correct answer is A. \(-\frac{7}{5}\). It is a ratio of two integers so it is rational. In \(\frac{p}{q}\) form \(q\neq0\).
Step 3
Exam Tip
यह दो पूर्णांकों का अनुपात है इसलिए परिमेय है। \(\frac{p}{q}\) रूप में \(q\neq0\) होना चाहिए।
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कौन सा कथन सही है यदि कोई दशमलव सांत है?
Which statement is correct if a decimal is terminating?
#terminating-decimal
#rational-numbers
#real-numbers
A वह परिमेय संख्या होती है / It is a rational number
B वह हमेशा अपरिमेय होती है / It is always irrational
C वह वास्तविक संख्या नहीं होती / It is not a real number
D वह हमेशा प्राकृतिक संख्या होती है / It is always a natural number
Explanation opens after your attempt
Correct Answer
A. वह परिमेय संख्या होती है / It is a rational number
Step 1
Concept
A terminating decimal can be written in \(\frac{p}{q}\) form. So it is rational and real.
Step 2
Why this answer is correct
The correct answer is A. वह परिमेय संख्या होती है / It is a rational number. A terminating decimal can be written in \(\frac{p}{q}\) form. So it is rational and real.
Step 3
Exam Tip
सांत दशमलव को \(\frac{p}{q}\) रूप में लिखा जा सकता है। इसलिए वह परिमेय और वास्तविक होता है।
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\(\sqrt{0.04}\) का मान किस प्रकार की संख्या है?
What type of number is the value of \(\sqrt{0.04}\)?
#decimal-square-root
#rational-numbers
#classification
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D प्राकृतिक संख्या / Natural number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt{0.04}=0.2\) which is a terminating decimal. So it is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt{0.04}=0.2\) which is a terminating decimal. So it is rational.
Step 3
Exam Tip
\(\sqrt{0.04}=0.2\) है जो सांत दशमलव है। इसलिए यह परिमेय है।
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यदि किसी संख्या का दशमलव प्रसार अनंत लेकिन आवर्ती है तो वह कैसी संख्या है?
If the decimal expansion of a number is non terminating but repeating then what type of number is it?
#decimal-expansion
#repeating
#rational-numbers
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
A non terminating repeating decimal is rational. Do not call it irrational just because it is non terminating.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. A non terminating repeating decimal is rational. Do not call it irrational just because it is non terminating.
Step 3
Exam Tip
अनंत आवर्ती दशमलव परिमेय होता है। अनंत देखकर तुरंत अपरिमेय न मानें।
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सांत दशमलव का सही उदाहरण कौन सा है?
Which is a correct example of a terminating decimal?
#terminating-decimal
#rational-numbers
#example
A (4.125)
B (0.666...)
C \(\pi\)
D (1.010010001...)
Explanation opens after your attempt
Correct Answer
A. (4.125)
Step 1
Concept
(4.125) ends after a finite number of digits. A terminating decimal is always rational.
Step 2
Why this answer is correct
The correct answer is A. (4.125). (4.125) ends after a finite number of digits. A terminating decimal is always rational.
Step 3
Exam Tip
(4.125) कुछ अंकों के बाद समाप्त हो जाता है। सांत दशमलव हमेशा परिमेय होता है।
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कौन सी संख्या प्राकृतिक संख्या भी है और परिमेय संख्या भी है?
Which number is both a natural number and a rational number?
#natural-numbers
#rational-numbers
#sets
A (9)
B \(\sqrt{10}\)
C (-2.5)
D \(\pi\)
Explanation opens after your attempt
Step 1
Concept
(9) is a counting number and \(9=\frac{9}{1}\). So it is both natural and rational.
Step 2
Why this answer is correct
The correct answer is A. (9). (9) is a counting number and \(9=\frac{9}{1}\). So it is both natural and rational.
Step 3
Exam Tip
(9) गिनती की संख्या है और \(9=\frac{9}{1}\) भी है। इसलिए यह प्राकृतिक और परिमेय दोनों है।
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कौन सा दशमलव परिमेय संख्या दिखाता है?
Which decimal represents a rational number?
#repeating-decimal
#rational-numbers
#decimal
A (2.454545...)
B (1.010010001...)
C (3.14159265...) बिना आवर्तन / (3.14159265...) without repetition
D (0.1234567891011...)
Explanation opens after your attempt
Correct Answer
A. (2.454545...)
Step 1
Concept
The block (45) repeats so it is a repeating decimal. A repeating decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. (2.454545...). The block (45) repeats so it is a repeating decimal. A repeating decimal is rational.
Step 3
Exam Tip
(45) बार-बार दोहर रहा है इसलिए यह आवर्ती दशमलव है। आवर्ती दशमलव परिमेय होता है।
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(1.25) किस प्रकार की संख्या है?
What type of number is (1.25)?
#terminating-decimal
#rational-numbers
#classification
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल प्राकृतिक संख्या / Natural number only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
(1.25) is terminating and can be written as \(\frac{5}{4}\). Terminating decimals are rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. (1.25) is terminating and can be written as \(\frac{5}{4}\). Terminating decimals are rational.
Step 3
Exam Tip
(1.25) सांत दशमलव है और इसे \(\frac{5}{4}\) लिखा जा सकता है। सांत दशमलव परिमेय होते हैं।
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संख्या (0) किस प्रकार की संख्या है?
What type of number is (0)?
#zero
#rational-numbers
#real-numbers
A परिमेय और वास्तविक / Rational and real
B अपरिमेय / Irrational
C अवास्तविक / Non real
D केवल ऋणात्मक / Negative only
Explanation opens after your attempt
Correct Answer
A. परिमेय और वास्तविक / Rational and real
Step 1
Concept
(0) can be written as \(\frac{0}{1}\) so it is rational. It is also a real number.
Step 2
Why this answer is correct
The correct answer is A. परिमेय और वास्तविक / Rational and real. (0) can be written as \(\frac{0}{1}\) so it is rational. It is also a real number.
Step 3
Exam Tip
\(0=\frac{0}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। यह वास्तविक संख्या भी है।
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परिमेय संख्या की सही परिभाषा कौन सी है?
Which is the correct definition of a rational number?
#definition
#rational-numbers
#basic-concept
A जिसे \(\frac{p}{q}\) रूप में लिखा जा सके जहाँ \(q\neq0\) / It can be written as \(\frac{p}{q}\) where \(q\neq0\)
B जिसकी जड़ हमेशा अपरिमेय हो / Its root is always irrational
C जो केवल ऋणात्मक हो / It is only negative
D जो केवल दशमलव में न लिखा जा सके / It cannot be written in decimal form
Explanation opens after your attempt
Correct Answer
A. जिसे \(\frac{p}{q}\) रूप में लिखा जा सके जहाँ \(q\neq0\) / It can be written as \(\frac{p}{q}\) where \(q\neq0\)
Step 1
Concept
A rational number is written as a ratio of two integers. Always remember \(q\neq0\).
Step 2
Why this answer is correct
The correct answer is A. जिसे \(\frac{p}{q}\) रूप में लिखा जा सके जहाँ \(q\neq0\) / It can be written as \(\frac{p}{q}\) where \(q\neq0\). A rational number is written as a ratio of two integers. Always remember \(q\neq0\).
Step 3
Exam Tip
परिमेय संख्या दो पूर्णांकों के अनुपात में लिखी जाती है। हर बार \(q\neq0\) याद रखें।
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\(\sqrt{49}\) किस प्रकार की संख्या है?
What type of number is \(\sqrt{49}\)?
#square-root
#rational-numbers
#perfect-square
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C केवल अपरिमेय वास्तविक संख्या / Only irrational real number
D अपरिभाषित संख्या / Undefined number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt{49}=7\) and (7) is rational. The square root of a perfect square is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt{49}=7\) and (7) is rational. The square root of a perfect square is rational.
Step 3
Exam Tip
\(\sqrt{49}=7\) है और (7) परिमेय है। पूर्ण वर्ग की जड़ परिमेय होती है।
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दशमलव (0.333...) किस प्रकार की संख्या है?
What type of number is the decimal (0.333...)?
#decimal-expansion
#rational-numbers
#repeating-decimal
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D न तो परिमेय न अपरिमेय / Neither rational nor irrational
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
A repeating decimal is rational. It can be written as \(\frac{1}{3}\).
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. A repeating decimal is rational. It can be written as \(\frac{1}{3}\).
Step 3
Exam Tip
दोहराने वाला दशमलव परिमेय होता है। इसे \(\frac{1}{3}\) लिखा जा सकता है।
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कौन सी संख्या परिमेय संख्या है?
Which number is a rational number?
#rational-numbers
#real-numbers
#basics
A \(\frac{5}{8}\)
B \(\sqrt{3}\)
C \(\sqrt{5}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{8}\)
Step 1
Concept
\(\frac{5}{8}\) is a ratio of two integers. A rational number can be written as \(\frac{p}{q}\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{8}\). \(\frac{5}{8}\) is a ratio of two integers. A rational number can be written as \(\frac{p}{q}\).
Step 3
Exam Tip
\(\frac{5}{8}\) दो पूर्णांकों का अनुपात है। परिमेय संख्या को \(\frac{p}{q}\) रूप में लिखा जाता है।
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यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^5\cdot 5^2\cdot 11\), तो दशमलव प्रसार कैसा होगा?
If \(\frac{p}{q}\) is in lowest form and \(q=2^5\cdot 5^2\cdot 11\), what will its decimal expansion be?
#rational-numbers
#recurring-decimal
#real-numbers
#classification
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
The reduced denominator has (11) along with (2) and (5).
Step 2
Why this answer is correct
Such a rational number has a non-terminating recurring decimal. Non-terminating non-recurring decimals are linked with irrational numbers.
Step 3
Exam Tip
A rational non-terminating decimal is always recurring. चरण 1: सरलतम हर में (2) और (5) के अलावा (11) भी है। चरण 2: ऐसी परिमेय संख्या का दशमलव प्रसार असांत आवर्ती होता है। असांत अनावर्ती रूप अपरिमेय संख्याओं से जुड़ा होता है। चरण 3: परिमेय संख्या का असांत दशमलव हमेशा आवर्ती होता है।
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