संख्या रेखा पर ( -0.3125 ) का सरल भिन्न रूप कौन सा है?
What is the simplest fractional form of ( -0.3125 ) on the number line?
#number-line
#decimal-to-fraction
#negative-rational
A \( -\frac{5}{16} \)
B \( -\frac{3}{16} \)
C \( -\frac{7}{16} \)
D \( -\frac{1}{16} \)
Explanation opens after your attempt
Correct Answer
A. \( -\frac{5}{16} \)
Step 1
Concept
\( -0.3125=-\frac{3125}{10000}=-\frac{5}{16} \). Convert the decimal into a fraction and simplify.
Step 2
Why this answer is correct
The correct answer is A. \( -\frac{5}{16} \). \( -0.3125=-\frac{3125}{10000}=-\frac{5}{16} \). Convert the decimal into a fraction and simplify.
Step 3
Exam Tip
\( -0.3125=-\frac{3125}{10000}=-\frac{5}{16} \)। दशमलव को भिन्न में बदलकर सरल करें।
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कौन सा दशमलव संख्या रेखा पर \( -\frac{7}{8} \) के बराबर है?
Which decimal is equal to \( -\frac{7}{8} \) on the number line?
#number-line
#fraction-to-decimal
#negative-rational
A ( -0.875 )
B ( -0.785 )
C (0.875)
D ( -1.125 )
Explanation opens after your attempt
Correct Answer
A. ( -0.875 )
Step 1
Concept
\( \frac{7}{8}=0.875 \), so \( -\frac{7}{8}=-0.875 \). Keep the negative sign in the decimal form.
Step 2
Why this answer is correct
The correct answer is A. ( -0.875 ). \( \frac{7}{8}=0.875 \), so \( -\frac{7}{8}=-0.875 \). Keep the negative sign in the decimal form.
Step 3
Exam Tip
\( \frac{7}{8}=0.875 \), इसलिए \( -\frac{7}{8}=-0.875 \)। ऋण चिह्न को दशमलव में भी बनाए रखें।
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संख्या रेखा पर ( -0.625 ) का भिन्न रूप कौन सा है?
What is the fractional form of ( -0.625 ) on the number line?
#number-line
#decimal-to-fraction
#negative-rational
A \( -\frac{5}{8}\)
B \( -\frac{3}{8}\)
C \( -\frac{7}{8}\)
D \( -\frac{1}{8}\)
Explanation opens after your attempt
Correct Answer
A. \( -\frac{5}{8}\)
Step 1
Concept
\( -0.625=-\frac{625}{1000}=-\frac{5}{8}\). First convert the decimal to a fraction, then simplify.
Step 2
Why this answer is correct
The correct answer is A. \( -\frac{5}{8}\). \( -0.625=-\frac{625}{1000}=-\frac{5}{8}\). First convert the decimal to a fraction, then simplify.
Step 3
Exam Tip
\( -0.625=-\frac{625}{1000}=-\frac{5}{8}\)। पहले दशमलव को भिन्न में बदलें, फिर सरल करें।
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संख्या रेखा पर \(\frac{-11}{5}\) किस दो क्रमागत पूर्णांकों के बीच आएगा?
On the number line, between which two consecutive integers will \(\frac{-11}{5}\) lie?
#polynomials
#number-line
#negative-rational
#fraction
A (-3) और (-2) / (-3) and (-2)
B (-2) और (-1) / (-2) and (-1)
C (2) और (3) / (2) and (3)
D (-1) और (0) / (-1) and (0)
Explanation opens after your attempt
Correct Answer
A. (-3) और (-2) / (-3) and (-2)
Step 1
Concept
Since \(\frac{-11}{5}=-2.2\), it lies between (-3) and (-2). Be careful with position of negative decimals.
Step 2
Why this answer is correct
The correct answer is A. (-3) और (-2) / (-3) and (-2). Since \(\frac{-11}{5}=-2.2\), it lies between (-3) and (-2). Be careful with position of negative decimals.
Step 3
Exam Tip
\(\frac{-11}{5}=-2.2\), इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक दशमलव में स्थान का ध्यान रखें।
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संख्या रेखा पर (-1.25) के समान बिंदु कौन सा भिन्न दिखाता है?
Which fraction shows the same point as (-1.25) on the number line?
#number-line
#decimal-to-fraction
#negative-rational
#equivalent
A \(-\frac{3}{4}\)
B \(-\frac{5}{4}\)
C \(\frac{5}{4}\)
D \(-\frac{7}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(-\frac{5}{4}\)
Step 1
Concept
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 2
Why this answer is correct
The correct answer is B. \(-\frac{5}{4}\). \(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 3
Exam Tip
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\) है। दशमलव को सरल भिन्न में बदलें।
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संख्या रेखा पर \(\frac{-13}{6}\) की स्थिति किस विकल्प से सही बतती है?
Which option correctly describes the position of \(\frac{-13}{6}\) on the number line?
#number-line
#negative-rational
#interval
#comparison
A यह (-2) और (-3) के बीच है / It is between (-2) and (-3)
B यह (-1) और (0) के बीच है / It is between (-1) and (0)
C यह (2) और (3) के बीच है / It is between (2) and (3)
D यह (-4) और (-5) के बीच है / It is between (-4) and (-5)
Explanation opens after your attempt
Correct Answer
A. यह (-2) और (-3) के बीच है / It is between (-2) and (-3)
Step 1
Concept
\(\frac{-13}{6}\approx -2.17\), so it lies between (-3) and (-2). Intervals with negative numbers can be tricky.
Step 2
Why this answer is correct
The correct answer is A. यह (-2) और (-3) के बीच है / It is between (-2) and (-3). \(\frac{-13}{6}\approx -2.17\), so it lies between (-3) and (-2). Intervals with negative numbers can be tricky.
Step 3
Exam Tip
\(\frac{-13}{6}\approx -2.17\), इसलिए यह (-3) और (-2) के बीच है। ऋणात्मक संख्या में पूर्णांक अंतराल उलझा सकता है।
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यदि \(a=\sqrt{8}+\sqrt{18}\) और \(b=\sqrt{8}-\sqrt{18}\), तो (ab) का मान क्या है?
If \(a=\sqrt{8}+\sqrt{18}\) and \(b=\sqrt{8}-\sqrt{18}\), what is the value of (ab)?
#conjugate product
#negative rational
#class 10
A (-10)
B (10)
C (26)
D \(12\sqrt{2}\)
Explanation opens after your attempt
Step 1
Concept
(ab=\(\sqrt{8}\)2 -\(\sqrt{18}\)2 ).
Step 2
Why this answer is correct
(ab=8-18=-10), which is rational.
Step 3
Exam Tip
In conjugate multiplication, you do not always need to simplify each radical first. चरण 1: (ab=\(\sqrt{8}\)2 -\(\sqrt{18}\)2 ) है। चरण 2: (ab=8-18=-10), जो परिमेय है। चरण 3: संयुग्मी गुणन में मूलों को अलग-अलग सरल करना जरूरी नहीं होता।
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