The opposite point of (4) is (-4), at the same distance from (0) on the other side. In exams, only the sign changes for the opposite number.
Step 2
Why this answer is correct
The correct answer is B. (-4). The opposite point of (4) is (-4), at the same distance from (0) on the other side. In exams, only the sign changes for the opposite number.
Step 3
Exam Tip
(4) का विपरीत बिंदु (0) से समान दूरी पर दूसरी ओर (-4) है। परीक्षा में विपरीत संख्या में केवल चिह्न बदलता है।
Both (-1) and (1) are (1) unit away from (0). In exams, recognize opposite signs with equal distance.
Step 2
Why this answer is correct
The correct answer is A. (-1) और (1) दोनों / Both (-1) and (1). Both (-1) and (1) are (1) unit away from (0). In exams, recognize opposite signs with equal distance.
Step 3
Exam Tip
(-1) और (1) दोनों (0) से (1) इकाई दूर हैं। परीक्षा में समान दूरी वाले विपरीत चिह्नों को पहचानें।
The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.
Step 2
Why this answer is correct
The correct answer is B. (0) के बाईं ओर / To the left of (0). The zero (-5) is negative, so it lies to the left of (0). In exams, the sign of the zero tells its direction.
Step 3
Exam Tip
शून्यक (-5) ऋणात्मक है इसलिए वह (0) के बाईं ओर होगा। परीक्षा में शून्यक का चिह्न उसकी दिशा बताता है।
Since \(1^2=1\) and \(2^2=4\), \(\sqrt{3}\) lies between (1) and (2). In exams, bracket square roots using perfect squares.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{3}\). Since \(1^2=1\) and \(2^2=4\), \(\sqrt{3}\) lies between (1) and (2). In exams, bracket square roots using perfect squares.
Step 3
Exam Tip
क्योंकि \(1^2=1\) और \(2^2=4\), इसलिए \(\sqrt{3}\) (1) और (2) के बीच है। परीक्षा में वर्गमूल को पूर्ण वर्गों से घेरें।
\(\sqrt{10}\) is greater than (3) because \(3^2=9\) and (10) is larger. In exams, check square root positions using squares.
Step 2
Why this answer is correct
The correct answer is D. \(\sqrt{10}\). \(\sqrt{10}\) is greater than (3) because \(3^2=9\) and (10) is larger. In exams, check square root positions using squares.
Step 3
Exam Tip
\(\sqrt{10}\), (3) से बड़ा है क्योंकि \(3^2=9\) और (10) इससे बड़ा है। परीक्षा में वर्गमूल की स्थिति वर्गों से जांचें।
\(-\frac{9}{2}=-4.5\), so it lies between (-5) and (-4). In exams, place a negative mixed number in the correct interval.
Step 2
Why this answer is correct
The correct answer is B. (-5) और (-4) / (-5) and (-4). \(-\frac{9}{2}=-4.5\), so it lies between (-5) and (-4). In exams, place a negative mixed number in the correct interval.
Step 3
Exam Tip
\(-\frac{9}{2}=-4.5\), इसलिए यह (-5) और (-4) के बीच है। परीक्षा में ऋणात्मक मिश्र संख्या को सही अंतराल में रखें।
\(\frac{7}{2}=3.5\), so it lies between (3) and (4). In exams, convert an improper fraction into a decimal or mixed number.
Step 2
Why this answer is correct
The correct answer is B. (3) और (4) / (3) and (4). \(\frac{7}{2}=3.5\), so it lies between (3) and (4). In exams, convert an improper fraction into a decimal or mixed number.
Step 3
Exam Tip
\(\frac{7}{2}=3.5\), इसलिए यह (3) और (4) के बीच है। परीक्षा में विषम भिन्न को दशमलव या मिश्र संख्या में बदलें।
Since \(\sqrt{7}\) lies between (2) and (3), \(-\sqrt{7}\) lies between (-3) and (-2). In exams, note the direction of a negative square root.
Step 2
Why this answer is correct
The correct answer is B. (-3) और (-2) / (-3) and (-2). Since \(\sqrt{7}\) lies between (2) and (3), \(-\sqrt{7}\) lies between (-3) and (-2). In exams, note the direction of a negative square root.
Step 3
Exam Tip
क्योंकि \(\sqrt{7}\) (2) और (3) के बीच है, इसलिए \(-\sqrt{7}\) (-3) और (-2) के बीच होगा। परीक्षा में ऋणात्मक वर्गमूल की दिशा ध्यान रखें।
Since \(4^2=16\) and \(5^2=25\), \(\sqrt{20}\) lies between (4) and (5). In exams, find nearby perfect squares.
Step 2
Why this answer is correct
The correct answer is C. (4) और (5) / (4) and (5). Since \(4^2=16\) and \(5^2=25\), \(\sqrt{20}\) lies between (4) and (5). In exams, find nearby perfect squares.
Step 3
Exam Tip
क्योंकि \(4^2=16\) और \(5^2=25\), इसलिए \(\sqrt{20}\) (4) और (5) के बीच है। परीक्षा में नजदीकी पूर्ण वर्ग खोजें।
The distance is (10-7=3) units. In exams, subtract the smaller number from the larger number to find distance.
Step 2
Why this answer is correct
The correct answer is B. (3) इकाई / (3) units. The distance is (10-7=3) units. In exams, subtract the smaller number from the larger number to find distance.
Step 3
Exam Tip
दूरी (10-7=3) इकाई है। परीक्षा में दो बिंदुओं की दूरी के लिए बड़ी संख्या से छोटी संख्या घटाएं।
\(\frac{1}{3}\) has the smallest distance from (0). In exams, check distance for closeness and not only the sign.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{3}\). \(\frac{1}{3}\) has the smallest distance from (0). In exams, check distance for closeness and not only the sign.
Step 3
Exam Tip
(0) से दूरी के आधार पर \(\frac{1}{3}\) सबसे छोटी दूरी पर है। परीक्षा में निकटता के लिए दूरी देखें न कि केवल चिह्न।
(0) is treated as the origin of the number line. In exams, place positive numbers to the right and negative numbers to the left.
Step 2
Why this answer is correct
The correct answer is A. मूल बिंदु / Origin. (0) is treated as the origin of the number line. In exams, place positive numbers to the right and negative numbers to the left.
Step 3
Exam Tip
(0) संख्या रेखा का मूल बिंदु माना जाता है। परीक्षा में दाईं ओर धनात्मक और बाईं ओर ऋणात्मक संख्या रखें।
(-2.5) is greater than (-3) and less than (-2). In exams, be careful because order with negative decimals can feel reversed.
Step 2
Why this answer is correct
The correct answer is B. (-3) और (-2) / (-3) and (-2). (-2.5) is greater than (-3) and less than (-2). In exams, be careful because order with negative decimals can feel reversed.
Step 3
Exam Tip
(-2.5), (-3) से बड़ा और (-2) से छोटा है। परीक्षा में ऋणात्मक दशमलव में क्रम उल्टा लग सकता है इसलिए सावधान रहें।
\(-\frac{3}{4}\) is negative and greater than (-1). In exams, show such fractions between (-1) and (0).
Step 2
Why this answer is correct
The correct answer is B. (-1) और (0) के बीच / Between (-1) and (0). \(-\frac{3}{4}\) is negative and greater than (-1). In exams, show such fractions between (-1) and (0).
Step 3
Exam Tip
\(-\frac{3}{4}\) ऋणात्मक है और (-1) से बड़ा है। परीक्षा में ऐसे भिन्न को (-1) और (0) के बीच दिखाएं।
\(\frac{2}{5}\) is greater than (0) and less than (1). In exams, place a proper fraction between (0) and (1).
Step 2
Why this answer is correct
The correct answer is A. (0) और (1) / (0) and (1). \(\frac{2}{5}\) is greater than (0) and less than (1). In exams, place a proper fraction between (0) and (1).
Step 3
Exam Tip
\(\frac{2}{5}\) का मान (0) से अधिक और (1) से कम है। परीक्षा में उचित भिन्न को (0) और (1) के बीच रखें।
B. (0) के बाईं ओर (6) इकाई/(6) units to the left of (0)
Step 1
Concept
(-6) is negative, so it lies (6) units to the left of (0). In exams, choose the left direction for negative numbers.
Step 2
Why this answer is correct
The correct answer is B. (0) के बाईं ओर (6) इकाई / (6) units to the left of (0). (-6) is negative, so it lies (6) units to the left of (0). In exams, choose the left direction for negative numbers.
Step 3
Exam Tip
(-6) ऋणात्मक है इसलिए यह (0) के बाईं ओर (6) इकाई पर होगा। परीक्षा में ऋणात्मक संख्या के लिए बाईं दिशा चुनें।
(5) is positive, so it lies (5) units to the right of (0). In exams, remember right direction for positive numbers.
Step 2
Why this answer is correct
The correct answer is A. (5) इकाई दाईं ओर / (5) units to the right. (5) is positive, so it lies (5) units to the right of (0). In exams, remember right direction for positive numbers.
Step 3
Exam Tip
(5) धनात्मक है इसलिए यह (0) के दाईं ओर (5) इकाई पर होगा। परीक्षा में धनात्मक संख्या के लिए दाईं दिशा याद रखें।
