Basics of DI  SQR, SQR ROOTS, CUBE & CUBE ROOTS.  NUMBER  X  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19  20  21  22  23  24  25  26  27  28  29  30 

SQ ROOT  √X  1.414  1.732  2.000  2.236  2.449  2.646  2.828  3.000  3.162  3.317  3.464  3.606  3.742  3.873  4.000  4.123  4.243  4.359  4.472  4.583  4.690  4.796  4.899  5.000  5.099  5.196  5.292  5.385  5.477 

CUBE ROOT  ₃√X  1.260  1.442  1.587  1.710  1.817  1.913  2.000  2.080  2.154  2.224  2.289  2.351  2.410  2.466  2.520  2.571  2.621  2.668  2.714  2.759  2.802  2.844  2.884  2.924  2.962  3.000  3.037  3.072  3.107 

SQUARE  X2  4  9  16  25  36  49  64  81  100  121  144  169  196  225  256  289  324  361  400  441  484  529  576  625  676  729  784  841  900 

CUBE  X3  8  27  64  125  216  343  512  729  1000  1331  1728  2197  2744  3375  4096  4913  5832  6859  8000  9261  10648  12167  13824  15625  17576  19683  21952  24389  27000 

 CONVERSIONS (FRACTION→DECIMAL→PERCENTAGE)  FRACTION  DECIMAL 

%AGE 

FRACTION 

DECIMAL 

%AGE 



1.0 

100% 

   1/16  

0.0625 

6.250% 

 1/2 

0.5 

50% 

   1/17  

0.0588 

5.882% 

 1/3 

0.3333 

33.333% 

   1/18  

0.0556 

5.556% 

 1/4 

0.25 

25% 

   1/19  

0.0526 

5.263% 

 1/5 

0.20 

20% 

   1/20  

0.05 

5% 

 1/6 

0.1667 

16.667% 

   1/21  

0.0476 

4.762% 

 1/7 

0.1429 

14.286% 

   1/22  

0.0455 

4.545% 

 1/8 

0.1250 

12.500% 

   1/23  

0.0435 

4.348% 

 1/9 

0.1111 

11.111% 

   1/24  

0.0417 

4.167% 

   1/10  

0.1 

10% 

   1/25  

0.04 

4% 

   1/11  

0.0909 

9.091% 

   1/26  

0.0385 

3.846% 

   1/12  

0.0833 

8.333% 

   1/27  

0.0370 

3.704% 

   1/13  

0.0769 

7.692% 

   1/28  

0.0357 

3.571% 

   1/14  

0.0714 

7.143% 

   1/29  

0.0345 

3.448% 

   1/15  

0.0667 

6.667% 

   1/30  

0.0333 

3.333% 

 x2 x3 x4

x5

x6

x7

x8

x9

x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20

11

22

33

44

55

66

77

88

99

110

121

132

143

154

165

176

187

198

209

220

12

24

36

48

60

72

84

96

108

120

132

144

156

168

180

192

204

216

228

240

13

26

39

52

65

78

91

104 117

130

143

156

169

182

195

208

221

234

247

260

14

28

42

56

70

84

98

112 126

140

154

168

182

196

210

224

238

252

266

280

15

30

45

60

75

90

105 120 135

150

165

180

195

210

225

240

255

270

285

300

16

32

48

64

80

96

112 128 144

160

176

192

208

224

240

256

272

288

304

320

17

34

51

68

85

102 119 136 153

170

187

204

221

238

255

272

289

306

323

340

18

36

54

72

90

108 126 144 162

180

198

216

234

252

270

288

306

324

342

360

19

38

57

76

95

114 133 152 171

190

209

228

247

266

285

304

323

342

361

380

20

40

60

80

100 120 140 160 180

200

220

240

260

280

300

320

340

360

380

400

21

42

63

84

105 126 147 168 189

210

231

252

273

294

315

336

357

378

399

420

22

44

66

88

110 132 154 176 198

220

242

264

286

308

330

352

374

396

418

440

23

46

69

92

115 138 161 184 207

230

253

276

299

322

345

368

391

414

437

460

24

48

72

96

120 144 168 192 216

240

264

288

312

336

360

384

408

432

456

480

25

50

75

100 125 150 175 200 225

250

275

300

325

350

375

400

425

450

475

500

26

52

78

104 130 156 182 208 234

260

286

312

338

364

390

416

442

468

494

520

27

54

81

108 135 162 189 216 243

270

297

324

351

378

405

432

459

486

513

540

28

56

84

112 140 168 196 224 252

280

308

336

364

392

420

448

476

504

532

560

29

58

87

116 145 174 203 232 261

290

319

348

377

406

435

464

493

522

551

580

30

60

90

120 150 180 210 240 270

300

330

360

390

420

450

480

510

540

570

600

Logarithmic tables. Log x 2 3 4 5 6 7 8 9

2 3 5 7

101 103 107 109

Value 0.301 0.477 0.602 0.699 0.778 0.845 0.903 0.954

11 13 17 19

23

Ln x 2 3 4 5 6 7 8 9

Prime Nos. 1-100 (25) 31 41 43 53 37

47

29

61

Value(2.71828)

7.389 20.085 54.598 148.413 403.428 1096.63 2980.95 8103.08

71 73

97 79

101-200 (20) 151

113 137 139 149

83

67 59

131 127

ex 2 3 4 5 6 7 8 9

Value 0.693 1.098  1.386  1.609  1.791  1.945  2.079  2.197

157

89

181 163 167

191

173 179

197 199

x x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20

Powers of 1st 9 Natural Nos. 2

3

4

5

6

7

8

9

4

9

16

25

36

49

64

81

8

27

64

125

216

343

512

729

16

81

256

625

1296

2401

4096

6561

32

243

1024

3125

7776

16807

32768

59049

64

729

4096

15625

46656

117649

262144

531441

128

2187

16384

78125

279936

256

6561

65536

390625

512

19683

262144

1024

59049

1048576

2048

177147

4096

531441

8192

1594323

16384

4782969

32768

14348907

65536

43046721

131072 262144 524288 1048576

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