### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 SECTION L 13 Numeration 19 Definitions 26 26 SECTION III 41 SECTION IV 51 Illustration of carrying in Multiplication 57 Contractions in Multiplication 63 Definitions 71
 Reduction of Decimal Compound Numbers lJO 197 Applications of Federal Money to Bills fcc 204 Interest 213 Computing Interest by Days 220 Partial Payments Rule adopted by the United States 226 Compound Interest 233 233 Insuranee 240 Duties 251

 Long Division 77 Exercises in the Fundamental Rules 85 Analysis of Composite Numbers 92 SECTION VI 100 Reduction of Fractions 108 Least Common Denominator 114 Cancellation applied to Multiplication of Fractions 123 123 Cancellation applied to Division of Fractions 129 Compound Numbers 136 The standard unit of Liquid Measure of the United States 143 Reduction 150 Reduction of Fractional Compound Numbers 157 Addition of Fractional Compound Numbers 165 Compound Division 172 Decimal FrffconoNS 176 Multiplication of Decimals 183
 Properties of Numbers 260 Deductions from the Fundamental Rules 263 Analytic solutions in Simple Proportion Ex 150 270 Ditto Partnership 7682 276 Practice or Aliquot Parts 121179 282 Proportion 289 Compound Proportion or Double Rule of Three 298 Involution 305 306 Square Root 312 Cube Root 320 Equation of Payments 326 Partnership or Fellowship 832 334 Exchange 343 Arithmetical Progression 349 Miscellaneous Examples 359 Applications of the Compound Rules 174 373

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 71 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
сЕКъДА 127 - Divide the numerator of the dividend by the numerator of the divisor.
сЕКъДА 348 - Divide the difference of the extremes by the common difference, and the quotient, increased by 1 , will be the answer.
сЕКъДА 321 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
сЕКъДА 55 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
сЕКъДА 113 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
сЕКъДА 348 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
сЕКъДА 317 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
сЕКъДА 314 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
сЕКъДА 261 - ... any number divided by 9, will leave the same remainder, as the sum of its figures, or digits, divided by 9 : which may be thus demonstrated.