# Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of Instruction : for Schools and Academies

Ivison, Phinney & Company, 1860 - 384 СЕКъДЕР

### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 Number Illustrated and defined 13 Numeration 19 ADDITION Mental Exercises 26 General Rule 30 SECTION III 38 When a figure in the lower number is larger than that above it 43 SECTION IV 51 Definitions 64 56
 Compound Division 172 Analytic solutions in Simple Proportion 175 DECIMAL FACTIOKS 197 INTEREST 213 Computing Interest by Days 220 Partial Payments Rule adopted by the United States 226 Compound Interest 233 Practice or Aliquot Parts 235

 Contractions in Multiplication 63 Long Division 77 Exercises in the Fundamental Rules 85 Analysis of Composite Numbers 92 SECTION V 100 FRACTIONS Mental Exercises 108 Addition of Fractions 115 General Rule for Multiplication of Fractions 124 General Rule for Division of Fractions 130 COMPOUND NUMBERS 136 DIVISION Mental Exercises 137 The standard unit of Liquid Measure of the United States 143 REDUCTION 150 Reductiou of Fractional Compound Numbers 157 Addition of Fractional Compound Numbers 165
 Insurance 240 DUTIES 251 PROPERTIES OF NUMBERS 260 SECTION XI 285 Simple Proportion or Rule of Three 294 Compound Proportion or Double Rule of Three 300 SECTION XII 306 Demonstration of Cube Root by Cubical Blocks 326 Partnership or Fellowship 334 Exchange 342 Geometrical Progression 349 Miscellaneous Examples 357 Definitions 365 240 369

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 316 - ... 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 287 - In any proportion, the product of the means is equal to the product of the extremes.
сЕКъДА 51 - 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 311 - 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 98 - The number below the line is called the denominator, and shows into how many parts the number or thing is divided. The number above the line is called the numerator, and shows how many parts are expressed by the fraction.
сЕКъДА 89 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.
сЕКъДА 308 - 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 132 - TABLE. 16 drams, dr. make 1 ounce, marked oz. 16 ounces - - 1 pound, - Ib. 25 pounds - - 1 quarter, - qr. 4 quarters - - 1 hundred weight, cwt. 20 hundred weight 1 ton, - - T.
сЕКъДА 99 - A proper fraction is a fraction whose numerator is less than its denominator ; as, •ё, -f , •\$-. An improper fraction is one whose numerator is equal to, or...
сЕКъДА 224 - To find the rate per cent, when the principal, interest, and time are given.