Division of Vulgar Fractions,

139

Decimal Division,

149

REDUCTION.

Reduction Ascending and Descending,

159

Reduction of Fractions to Whole Numbers,

163

Reduction of Whole Numbers to Fractions,

164

Reduction of Vulgar to Decimal Fractions,

165

Reduction of Fractions to a Common Denominator,

168

Reduction of Fractions to the lowest Terms,

172

Reduction of Fractions from one order to another

175

Reduction of Fractions of one order, to Units of another order, 177

Reduction of Units of one order to Fractions of another order 178

Reduction of a Compound Number to a Decimal,

180

Reduction of a Decimal Units of Compound orders,

181

Reduction of Currencies,

182

Reduction of Different Currencies to Federal. Money,

185

Reduction of Federal Money to Different Currencies,

186

Reduction from one Currency to another,

187

ARITHMETIC.-PART THIRD.

190

191

192

193

194

195

NUMERATION.

Roman Numeration,

Other methods of Numeration,

Common, Vulgar, and Decimal Numeration,

ADDITION.

Simple, Compound, Vulgar, and Decimal Addition,

SUBTRACTION.

Simple, Compound, Vulgar, and Decimal Subtraction,

MULTIPLICATION.

Simple, Vulgar, Compound, and Decimal Multiplication,

DIVISION.

Simple, Vulgar, Compound, and Decimal Division,

Exercises in Reduction,

INTEREST,

Simple Interest,

To find the Interest on Sterling Money,

Various Exercises in Interest,

Endorsements,

First Method,

Massachusetts Rule,

Connecticut Rule,

Compound Interest,

DISCOUNT,

STOCK, INSURANCE, COMMISSION, Loss AND GAIN, DUTIES,

198

200

201

203

207

207

209

210

211

212

215

217

218

222

223

224

226

229

234

237

EQUATION OF PAYMENTS,

Ratio,

PROPORTION,

Simple Rule of Three; or Simple Proportion,

Double Rule of Three; or Compound Proportion,

FELLOWSHIP,

ALLIGATION,

DUODECIMALS,

INVOLUTION,

EVOLUTION,

Extraction of the Square Root,

Extraction of the Cube Root,

ARITHMETICAL PROGRESSION,

GEOMETRICAL PROGRESSION,

ANNUITIES,

PERMUTATION,

MISCELLANEOUS EPAMPLES,

Position, Ex. 40–50. Barter, Ex. 51–58.

To find the Area of a Square, Ex. 69–71.

of a Parallelogram, Ex. 72–74.

of a Triangle, Ex. 75, 76.

To find the Solid Contents of a Cube, Ex. 77–79.

241

244

245

248

252

258

261

264

269

270

Ex. 80–84.

To find the Area of a Globe or Ball, Ex. 85.

To find the Solid Contents of a Globe or Ball, Ex. 86.

of a Cylinder, Ex. 87.

of a Pyramid, Ex. 88, 89.

FORMS OF NOTES, RECEIPTS, AND ORDERS,

BOOK-KEEPING,

279

282

ARITHMETICAL TABLES.

ADDITION TABLE. 214 and 0 are 46 and 0 are 6j8 and 0 are 8 1

78

9 44

66
2 8/8

2 10
76
3 9/8

3 11 816 108

12 916

118 1016 128

14 9 7 1116

138

15 1014 8 126

148

16
114
9 136

9
15 8

17

13

MULTIPLICATION TABLE. 2 times are 05 times are 0l8 times) are 0 11 times are 0 2 X 1 25 X 1 58 X 1 811 x 1 11 2 2 45 2 108 2 1611 2 22 2 3 65 3 158 3 2411 3 33 2 4 85

2018 4 3211 4 44 2 5 105 5 258 5 4011 5 55 2 6 125 6 3018 6 4811 6 66 2 7

1415 7 358 7 5611 7 77 2 8

165

8 4018 8 6411 8 88 2 9 185 9 458 9 7211 9 99 2 10 205 10 508 10 80/11 10 110 2 11 225 11 558 11 8811 11 121 2 12

24/5 12 6018 12 9611 12 132

15/6

3 times are 0/6 times are 0 9 times are 0 12 times are 0 3 X 1 = 36 x 1 69 X 1 912 x 1 12 3 2 616 2 129 2 1812 2

24 3 3 96 3 189 3 27 12 3

36 3 4 1216 4

249
4 3612

4 48 3 5

5 3019 5 45 12 5 60 3 6 186 6 369 6 5412 6

72 3

216 7 42,9 7 63 12 7 84 3 8 246 8 4819

8

7212 8 96 3 9 2716 9 549 9 8112 9

108 3 10 30/6 10 609 10 9012 10 120 3 11 336 11 669 11 9912 11 132 3 12 366 12 729 12 10812 12 144

4 times ( are 0 7 times are 0 10 times are 0 13 times "are 0 4 X 1 = 417 x 1 = 710 X 1 = 10 13 X 1 = 13 4 2 87 2 1410 2

2013

2 26 4 3 127 3 2110 3

3013

3 39 4 4 167 4 2810 4 4013

4

52 4 5 2017 5 3510 5

5013

5 65 4 6 247 6 4210 6

6013 6 78 4 7

287

7 4910 7 7013 7 91 4 8 327 8 5610 8 8013

104 4 9 3617 9 6310 9 90'13 9 117 4 10 4017 10 70 10 10 10013 10 130 4 11 4417 11 7710 11 11013 11 143 4 12

12 84 10 12 12013 12 156

4817