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

H. Cowperthwait & Company, 1856 - 366 „‰ «·’ðÕ«

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 Problems 67 Subtraction from Left to Right 73 Simple Multiplicationwhen only 79 Reduction Descending 85 Abbreviated Method 93 fefinitions and Illustrations 100 Problems for Solution 106 Divisor a large Number 112 To multiply by 5 12 163 c 120 PROPERTIES of NUMBERs 133 Other Tests 141 A more brief Method 147 Least Common Multiple by Factora 153
 APPLICATIONS OF FOREGOING 213 RATIO AND PROPORTION 222 Relations of Terms 228 Problems 234 Introductory 240 Fractional Parts of 200 Months 20 246 from that at 6 per cent 259 POWERS AND ROOTS 327 Method of extracting the Square Root 331 To extract the Cube Root 338 Problems 344 Problems 350 MISCELLANEOUS EXAM 358

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«·’ðÕ… 38 - Dry Measure. ó 2 pints = 1 quart; 8 quarts = 1 peck; 4 pecks = 1 bushel.˛
«·’ðÕ… 40 - NUMBERS. 12 units = 1 dozen. 12 dozen ó 1 gross. 12 gross = 1 great gross. 20 units = 1 score.˛
«·’ðÕ… 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.˛
«·’ðÕ… 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.˛
«·’ðÕ… 30 - APOTHECARIES' WEIGHT 20 grains = 1 scruple. 3 scruples = 1 dram. 8 drams = 1 ounce. 12 ounces = 1 pound.˛
«·’ðÕ… 99 - The Dividend is the number to be divided. The Divisor is the number by which we divide.˛
«·’ðÕ… 34 - Measure. ó 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.˛
«·’ðÕ… 236 - ... high, and 1 ft. 8' thick ? Suggestion. ó 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˛
«·’ðÕ… 133 - Two numbers are PRIME TO EACH OTHER when they have no common factor.˛
«·’ðÕ… 339 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.˛