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Number Operation Mathematics - Class 9 आधुनिक विद्या निकेतन ट्यूशन सेंटर Visit: avnlearn.com

Mr. Guddu Kumar

1. प्राकृत संख्या

  1. \(663265 - 567267\) = 95998
  2. \(5322222 \div 457\) = 11646
  3. \(641672 - 527126\) = 114546
  4. \(4219 \times 29\) = 122351
  5. \(927074 - 787574\) = 139500
  6. \(975651 - 468312\) = 507339
  7. \(583180 + 122694\) = 705874
  8. \(6006364 \div 812\) = 7397
  9. \(1770 \times 50\) = 88500
  10. \(4558 \times 15\) = 68370
  11. \(819835 + 285678\) = 1105513
  12. \(1152 \times 42\) = 48384
  13. \(957558 + 568334\) = 1525892
  14. \(550589 + 812972\) = 1363561
  15. \(12827110 \div 541\) = 23710

4. पूर्णांक

  1. \((-9264262)\div161\) = -57542
  2. \((-2689)\times(-51)\) = 137139
  3. \(780351-(-790356)\) = 1570707
  4. \((-714426)-613846\) = -1328272
  5. \(1019\times16\) = 16304
  6. \((-21175506)\div(-297)\) = 71298
  7. \((-473616)+(-601168)\) = -1074784
  8. \((-242021)-(-860080)\) = 618059
  9. \(408508-403104\) = 5404
  10. \(47208270\div(-534)\) = -88405
  11. \((-6331)\times(-71)\) = 449501
  12. \((-964532)+(-271864)\) = -1236396
  13. \(873365-(-426779)\) = 1300144
  14. \(5154\times(-40)\) = -206160
  15. \(947489-894312\) = 53177

2. भिन्न

  1. \(\frac{87}{5}\) − \(\frac{5}{6}\) = 497/30
  2. \(\frac{43}{6}\) ÷ \(\frac{3}{2}\) = 43/9
  3. \(\frac{18}{2}\) + \(\frac{2}{4}\) = 19/2
  4. \(\frac{96}{6}\) ÷ \(\frac{5}{4}\) = 64/5
  5. \(\frac{34}{4}\) × \(\frac{7}{5}\) = 119/10
  6. \(\frac{27}{3}\) + \(\frac{8}{2}\) = 13
  7. \(\frac{60}{2}\) − \(\frac{9}{2}\) = 51/2
  8. \(\frac{29}{7}\) + \(\frac{2}{9}\) = 275/63
  9. \(\frac{52}{2}\) × \(\frac{9}{7}\) = 234/7
  10. \(\frac{40}{3}\) ÷ \(\frac{8}{4}\) = 20/3
  11. \(\frac{31}{6}\) ÷ \(\frac{5}{8}\) = 124/15
  12. \(\frac{73}{9}\) − \(\frac{4}{5}\) = 329/45
  13. \(\frac{91}{2}\) − \(\frac{3}{8}\) = 361/8
  14. \(\frac{86}{7}\) − \(\frac{5}{4}\) = 309/28
  15. \(\frac{87}{3}\) + \(\frac{3}{3}\) = 30
  16. 51 + \(\frac{7}{9}\) = 466/9
  17. 13 − \(\frac{2}{2}\) = 12
  18. 92 + \(\frac{6}{4}\) = 187/2
  19. 67 × \(\frac{2}{2}\) = 67
  20. 45 ÷ \(\frac{7}{4}\) = 180/7
  21. 31 − \(\frac{6}{3}\) = 29
  22. 93 + \(\frac{9}{2}\) = 195/2
  23. 91 + \(\frac{8}{4}\) = 93
  24. 96 ÷ \(\frac{3}{9}\) = 288
  25. 75 + \(\frac{2}{6}\) = 226/3
  26. 83 − \(\frac{2}{5}\) = 413/5
  27. 35 + \(\frac{7}{3}\) = 112/3
  28. 53 × \(\frac{6}{7}\) = 318/7
  29. 55 + \(\frac{1}{9}\) = 496/9
  30. 41 × \(\frac{6}{3}\) = 82

3. दसमलव

  1. 27.1 − 5.4 = 217/10
  2. 73.2 + 5.7 = 789/10
  3. 78.1 + 9.9 = 88
  4. 9.0 − 9.0 = 0
  5. 171.6 ÷ 4.4 = 39
  6. 63.8 ÷ 1.1 = 58
  7. 25.9 + 7.2 = 331/10
  8. 36.1 − 2.0 = 341/10
  9. 2.0 − 1.2 = 4/5
  10. 221.1 ÷ 6.7 = 33
  11. 66.9 + 4.9 = 359/5
  12. 21.4 − 1.6 = 99/5
  13. 39.1 × 2.2 = 4301/50
  14. 14.1 − 0.0 = 141/10
  15. 96.8 − 2.5 = 943/10
  1. \((-40.1)+3.5\) = -183/5
  2. \(8.4-(-5.5)\) = 139/10
  3. \(8.3-3.4\) = 49/10
  4. \((-19.2)-4.2\) = -117/5
  5. \((-44.7)+(-2.1)\) = -234/5
  6. \((-239.736)\div2.8\) = -4281/50
  7. \((-32.0)\times(-7.8)\) = 1248/5
  8. \(21.1+(-4.3)\) = 84/5
  9. \((-896.384)\div9.4\) = -2384/25
  10. \((-33.1)+2.4\) = -307/10
  11. \((-73.4)+0.3\) = -731/10
  12. \(30.112\div0.8\) = 941/25
  13. \((-78.4)+6.5\) = -719/10
  14. \(2.5-9.1\) = -33/5
  15. \((-47.0)-9.6\) = -283/5

4. परिमेय संख्या

  1. \(\frac{62}{8}-\frac{9}{6}\) = 25/4
  2. \(\frac{-19}{8}+\frac{1}{8}\) = -9/4
  3. \(\frac{-91}{6}\div\frac{-8}{9}\) = 273/16
  4. \(\frac{-10}{4}\div\frac{-7}{2}\) = 5/7
  5. \(\frac{-55}{2}\div\frac{5}{8}\) = -44
  6. \(\frac{-37}{9}\div\frac{-7}{9}\) = 37/7
  7. \(\frac{-12}{9}\div\frac{-7}{6}\) = 8/7
  8. \(\frac{-98}{9}+\frac{1}{3}\) = -95/9
  9. \(\frac{-11}{3}\div\frac{5}{2}\) = -22/15
  10. \(\frac{-46}{6}\div\frac{-6}{7}\) = 161/18
  11. \(\frac{-36}{3}-\frac{1}{4}\) = -49/4
  12. \(\frac{-72}{9}-\frac{8}{9}\) = -80/9
  13. \(\frac{-79}{3}\times\frac{1}{4}\) = -79/12
  14. \(\frac{15}{5}-\frac{-6}{6}\) = 4
  15. \(\frac{37}{6}\times\frac{-5}{9}\) = -185/54
  16. \(\frac{29}{3}+\frac{6}{2}\) = 38/3
  17. \(\frac{94}{5}\times\frac{-8}{7}\) = -752/35
  18. \(\frac{-27}{5}\div\frac{6}{4}\) = -18/5
  19. \(\frac{-30}{4}+\frac{-9}{5}\) = -93/10
  20. \(\frac{-86}{2}+\frac{-2}{4}\) = -87/2

3. सरलीकरण

  1. 4 + 2 + 9 − 2 − 7 = 6
  2. 2 + 7 − 9 + 8 − 6 = 2
  3. 6 + 7 − 1 + 4 − 3 = 13
  4. 1 + 7 − 3 − 4 + 8 = 9
  5. 8 + 6 − 1 + 7 − 6 = 14
  6. 3 − 6 − (-2) + 0 − 0 = -1
  7. 8 − 4 − 1 + 8 − 6 = 5
  8. 6 − 5 + 6 + (-3) + 5 = 9
  9. 7 − (-6) + 9 + 7 − (-6) = 35
  10. 7 + (-5) + (-2) − 1 + 8 = 7
  11. \(\frac{5}{6}\) + \(\frac{2}{4}\) + \(\frac{4}{6}\) − \(\frac{7}{3}\) + \(\frac{2}{6}\) = 0
  12. \(\frac{8}{6}\) − \(\frac{4}{3}\) − \(\frac{8}{3}\) − \(\frac{6}{7}\) − \(\frac{7}{8}\) = -739/168
  13. 3.5 + 4.1 − 8.3 + (-2.9) − 4.8 = -42/5
  14. (-6.6) − 2.2 + 0.2 + (-8.2) + 5.4 = -57/5
  15. (-4.3) + (-2.3) + (-8.3) + (-0.8) + 4.5 = -56/5
  16. (-1.9) − -0.0 + (-4.1) + 0.5 + 0.4 = -51/10
  17. (-7.7) − (-8.0) + 5.2 − (-7.1) + 4.1 = 167/10
  18. \(\frac{7}{4}\) − \(\frac{1}{3}\) − \(\frac{4}{9}\) + \(\frac{-4}{6}\) + \(\frac{-6}{3}\) = -61/36
  19. \(\frac{-8}{6}\) + \(\frac{-8}{7}\) − \(\frac{-8}{8}\) − \(\frac{-1}{9}\) − \(\frac{-9}{4}\) = 223/252
  20. \(\frac{2}{6}\) − \(\frac{3}{9}\) − \(\frac{1}{3}\) + \(\frac{3}{7}\) − \(\frac{5}{3}\) = -11/7
  21. \(\frac{7}{9}\) + \(\frac{2}{9}\) − \(\frac{8}{5}\) + \(\frac{-4}{7}\) + \(\frac{3}{8}\) = -223/280
  22. \(\frac{-8}{6}\) + \(\frac{-5}{3}\) − \(\frac{8}{5}\) + \(\frac{3}{6}\) + \(\frac{-5}{8}\) = -189/40
  23. 8 × 9 + 1 × 4 − 3 × 8 − 5 × 7 = 17
  24. 28 ÷ 4 − 63 ÷ 7 + 45 ÷ 5 − 15 ÷ 5 = 4
  25. 49 ÷ 7 + 8 ÷ 4 + 36 ÷ 6 − 18 ÷ 6 = 12
  26. 9 × 9 + 7 × 1 + 3 × 8 − 4 × 5 = 92
  27. 12 ÷ 6 + 42 ÷ 7 + 12 ÷ 2 − 32 ÷ 4 = 6
  28. 6 × 7 + 4 × 2 + 7 × 8 + 2 × 6 = 118
  29. 7 × 4 + 1 × 7 − 1 × 2 + 4 × 4 = 49
  30. 1 × 7 + 4 × 1 + 5 × 7 − 3 × 5 = 31
  31. 72 ÷ 9 + 7 ÷ 1 − 10 ÷ 2 − 42 ÷ 7 = 4
  32. 8 ÷ 8 + 36 ÷ 9 + 49 ÷ 7 + 10 ÷ 2 = 17
  33. (-4) × (-1) + 8 × (-1) − 6 × 0 − (-6) × (-6) = -40
  34. (-9) ÷ (-9) + 0 ÷ (-3) + (-8) ÷ 1 + (-1) ÷ (-1) = -6
  35. (-28) ÷ 7 − (-4) ÷ (-4) + 24 ÷ (-3) + 3 ÷ 3 = -12
  36. 6 ÷ 6 − 40 ÷ (-5) + 63 ÷ 9 − 56 ÷ (-8) = 23
  37. 8 × 2 + 5 × 5 + (-2) × 4 − 7 × (-9) = 96
  38. \(\frac{6}{4}\) × \(\frac{-3}{2}\) + \(\frac{-7}{3}\) × \(\frac{8}{9}\) + \(\frac{2}{6}\) × \(\frac{3}{2}\) + \(\frac{4}{9}\) × \(\frac{2}{5}\) = -1969/540
  39. \(\frac{-9}{4}\) × \(\frac{-8}{3}\) − \(\frac{-4}{9}\) × \(\frac{-9}{5}\) + \(\frac{-5}{4}\) × \(\frac{7}{7}\) + \(\frac{-6}{5}\) × \(\frac{-7}{6}\) = 107/20
  40. \(\frac{16}{5}\) ÷ \(\frac{4}{2}\) − \(\frac{-8}{21}\) ÷ \(\frac{-2}{6}\) + \(\frac{16}{21}\) ÷ \(\frac{8}{3}\) + \(\frac{-10}{21}\) ÷ \(\frac{-6}{7}\) = 409/315
  41. \(\frac{4}{6}\) × \(\frac{-8}{2}\) − \(\frac{-8}{4}\) × \(\frac{8}{6}\) + \(\frac{3}{4}\) × \(\frac{-3}{5}\) − \(\frac{6}{7}\) × \(\frac{7}{4}\) = -39/20
  42. \(\frac{6}{9}\) × \(\frac{5}{7}\) + \(\frac{-5}{4}\) × \(\frac{2}{2}\) + \(\frac{4}{9}\) × \(\frac{-6}{3}\) − \(\frac{5}{5}\) × \(\frac{7}{9}\) = -205/84

4. वर्ग और वर्गमूल

  1. \(6317345^{2}\) = 39908847849025
  2. \(5178^{2}\) = 26811684
  3. \(52474^{2}\) = 2753520676
  4. \(369395^{2}\) = 136452666025
  5. \(461^{2}\) = 212521
  6. \(408^{2}\) = 166464
  7. \(72751^{2}\) = 5292708001
  8. \(4991^{2}\) = 24910081
  9. \(7474147^{2}\) = 55862873377609
  10. \(748691^{2}\) = 560538213481
  11. \(79^{2}\) = 6241
  12. \(8^{2}\) = 64
  13. \(3298975^{2}\) = 10883236050625
  14. \(9130^{2}\) = 83356900
  15. \(52^{2}\) = 2704
  16. \(3208738^{2}\) = 10295999552644
  17. \(\sqrt{49}\) = 7
  18. \(\sqrt{1}\) = 1
  19. \(\sqrt{4761}\) = 69
  20. \(\sqrt{64}\) = 8
  21. \(\sqrt{6400}\) = 80
  22. \(\sqrt{16}\) = 4
  23. \(\sqrt{1}\) = 1
  24. \(\sqrt{4}\) = 2
  25. \(\sqrt{3600}\) = 60
  26. \(\sqrt{36}\) = 6
  27. \(\sqrt{25}\) = 5
  28. \(\sqrt{2025}\) = 45
  29. \(\sqrt{49}\) = 7
  30. \(\sqrt{1156}\) = 34
  31. \(\sqrt{64}\) = 8
  32. \(\sqrt{8836}\) = 94

4. घन और घनमूल

  1. \(0^{3}\) = 0
  2. \(55^{3}\) = 166375
  3. \(41^{3}\) = 68921
  4. \(8^{3}\) = 512
  5. \(32^{3}\) = 32768
  6. \(6^{3}\) = 216
  7. \(27^{3}\) = 19683
  8. \(65^{3}\) = 274625
  9. \(74^{3}\) = 405224
  10. \(84^{3}\) = 592704
  11. \(4^{3}\) = 64
  12. \(1^{3}\) = 1
  13. \(3^{3}\) = 27
  14. \(8^{3}\) = 512
  15. \(75^{3}\) = 421875
  16. \(2^{3}\) = 8
  17. \(\sqrt[3]{729}\) = 9
  18. \(\sqrt[3]{2197}\) = 13
  19. \(\sqrt[3]{21952}\) = 28
  20. \(\sqrt[3]{42875}\) = 35
  21. \(\sqrt[3]{614125}\) = 85
  22. \(\sqrt[3]{1}\) = 1
  23. \(\sqrt[3]{389017}\) = 73
  24. \(\sqrt[3]{551368}\) = 82
  25. \(\sqrt[3]{103823}\) = 47
  26. \(\sqrt[3]{50653}\) = 37
  27. \(\sqrt[3]{250047}\) = 63
  28. \(\sqrt[3]{2744}\) = 14
  29. \(\sqrt[3]{512}\) = 8
  30. \(\sqrt[3]{1}\) = 1
  31. \(\sqrt[3]{21952}\) = 28
  32. \(\sqrt[3]{830584}\) = 94

4. घातांक

  1. \(48^{8}\times48^{3}\) = 48^{11}
  2. \(32^{2}\times32^{4}\) = 32^{6}
  3. \(8^{8}\times8^{9}\) = 8^{17}
  4. \(24^{2}\times24^{7}\) = 24^{9}
  5. \(76^{4}\div76^{6}\) = 76^{-2}
  6. \(55^{2}\div55^{4}\) = 55^{-2}
  7. \(6^{2}\div6^{2}\) = 6^{0}
  8. \(6^{4}\div6^{5}\) = 6^{-1}
  9. \(151^{3}\div151^{5}\) = 151^{-2}
  10. \(403^{7}\div403^{5}\) = 403^{2}

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Mathematics Revision - Class 10

Mathematics Revision - Class 10

वास्तविक संख्याएँ एक परिमेय और एक अपरिमेय संख्या का योग या अंतर एक अपरिमेय संख्या होती है। एक शून्येतर परिमेय संख्या और एक अपरिमेय संख्या का गुणनफल या भागफल एक अपरिमेय संख्या होती है। मान लीजिए कि x = \(\frac{p}{q}\) एक परिमेय संख्या इस प्रकार है कि q का अभाज्य गुणनखंडन 2 m .5 n के रूप का नहीं है; जहाँ m, n ऋणेतर पूर्णांक हैं। तब, x का असांत आवर्ती दशमलव प्रसार होता है। बहुपद गुणनखंड प्रमेय के प्रयोग द्वारा बीजीय व्यंजकों के गुणनखंड बीजीय सर्वसमिकाएँ : बीजीय सर्वसमिकाएँ - (x + y) 2 = x 2 + 2xy + y 2 (x − y) 2 = x 2 − 2xy + y 2 x 2 − y 2 = (x + y)(x − y) (x + a)(x + b) = x 2 + (a + b)x + ab (x + y + z) 2 = x 2 + y 2 + z 2 + 2xy + 2yz + 2zx (x + y) 3 = x 3 + 3x 2 y + 3xy 2 + y 3 = x 3 + y 3 + 3xy(x + y) (x − y) 3 = x ...
By Mr. Guddu Kumar
Data Handling Math - Junior

Data Handling Math - Junior

Data Handling The sale of shoes of various sizes at a shop on a particular day is given below: 6, 9, 8, 5, 5, 4, 9, 8, 5, 6, 9, 9, 7, 8, 9, 7, 6, 9, 8, 6, 7, 5, 8, 9, 4, 5, 8, 7. Represent the above data in the form of a frequency distribution table. The number of two wheelers owned individually by each of 50 families are listed below. Make a table using tally marks: 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1 The lengths in centimetres (to the nearest centimetre) of 30 carrots are given as follows: 15, 20,22, 22,21, 21, 20, 22, 15, 20, 15, 21, 21, 18, 18, 21, 20, 18, 20, 15, 20, 18, 20, 15, 21, 18, 20, 18, 22 Arrange the data given above in a table using tally marks and answer the following questions. What...
By Mr. Guddu Kumar