# Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools, and Academies

H. Cowperthwait & Company, 1856 - Arithmetic - 366 pages

### Contents

 Shorter Method of adding Compound 55 Bills of Goods 61 Subtraction from Left to Right 73 Compound Multiplication 81 Multiplication by Factors 88 DIVISION 97 Common Divisor Definitions c 146 Common Multiples Definitions e 152 100 158 To divide by 99 999 c 164 Other Methods of expressing the Value 170
 Definitions 237 54 292 To find the Rate 300 55 301 Problems 311 Problems 324 Method of extracting the Square Root 331 Solids 331 To extract the Cube Root 337 PROGRESSIONS 349 Problems 356 58 363

### Popular passages

Page 38 - Dry Measure. — 2 pints = 1 quart; 8 quarts = 1 peck; 4 pecks = 1 bushel.
Page 40 - NUMBERS. 12 units = 1 dozen. 12 dozen — 1 gross. 12 gross = 1 great gross. 20 units = 1 score.
Page 41 - WEIGHTS. 10 milligrammes = 1 centigramme. 10 centigrammes = 1 decigramme. 10 decigrammes = 1 gramme. 10 grammes = 1 decagramme. 10 decagrammes = 1 hectogramme. 10 hectogrammes = 1 kilogramme. 10 kilogrammes = 1 myriagramme.
Page 330 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 30 - APOTHECARIES' WEIGHT 20 grains = 1 scruple. 3 scruples = 1 dram. 8 drams = 1 ounce. 12 ounces = 1 pound.
Page 99 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 34 - Measure. — 144 square inches = 1 square foot; 9 square feet = 1 square yard; 30J square yards = 1 square rod or perch; 40 square rods = 1 rood; 4 roods = 1 acre; 640 acres = 1 square mile; 36 square miles (60 miles square) = 1 township.
Page 236 - ... high, and 1 ft. 8' thick ? Suggestion. — Since 8 in. = f ft., 4 in. = ^ ft., and 2 in. = ¿ ft., each brick contains fr X ¿ X ^ = -¿j solid feet, and it will take 27 bricks for each solid foot in the wall. 15. How many bricks, each 8 in. long, 4 in. wide, and 2 in. thick, will it take to build the four walls of a house, 30 ft. 6
Page 133 - Two numbers are PRIME TO EACH OTHER when they have no common factor.
Page 339 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.