Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools, and AcademiesH. Cowperthwait & Company, 1856 - 366 σελίδες |
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Σελίδα 133
... prime numbers . ( d . ) A COMPOSITE NUMBER is one which has other fac- tors besides itself and unity . Thus , 4 , 6 ... PRIME TO EACH OTHER when they have no common factor . For example , 4 and 9 are prime to each , as are 8 and 15 , 24 ...
... prime numbers . ( d . ) A COMPOSITE NUMBER is one which has other fac- tors besides itself and unity . Thus , 4 , 6 ... PRIME TO EACH OTHER when they have no common factor . For example , 4 and 9 are prime to each , as are 8 and 15 , 24 ...
Σελίδα 140
... between 19 and 11 is 8 , which is not a multiple of 11. Hence , 274854 is not a multiple of 11 . VII . If a number is divisible by each of two numbers which are prime to each other , it will be 140 PROPERTIES OF NUMBERS , & c .
... between 19 and 11 is 8 , which is not a multiple of 11. Hence , 274854 is not a multiple of 11 . VII . If a number is divisible by each of two numbers which are prime to each other , it will be 140 PROPERTIES OF NUMBERS , & c .
Σελίδα 141
... prime to each other , it will be divisible by their product . For dividing by one cannot ( since the numbers are prime to each other ) cast out the other , or any factor of it . Illustrations . 1. A number which is divisible by 4 and 9 ...
... prime to each other , it will be divisible by their product . For dividing by one cannot ( since the numbers are prime to each other ) cast out the other , or any factor of it . Illustrations . 1. A number which is divisible by 4 and 9 ...
Σελίδα 142
... prime factors when it is divided into factors which are all prime numbers . Illustrations . 362 X 2 X 3 X 3 8 = 2 X 2 X 2 2 X 3 X 5 842 X2 X3 X 7 30 ( c . ) When any number is taken more than once as a factor to produce another number ...
... prime factors when it is divided into factors which are all prime numbers . Illustrations . 362 X 2 X 3 X 3 8 = 2 X 2 X 2 2 X 3 X 5 842 X2 X3 X 7 30 ( c . ) When any number is taken more than once as a factor to produce another number ...
Σελίδα 143
... prime factors of 9 . Dividing 693 by 9 gives 77 for a quotient , the prime factors of which are 7 and 11. Hence , the prime factors of 2772 are 22 , 32 , 7 , and 11 ; or , which is the same thing , 2772 = 22 X 32 X 7 X 11 . 2. What are the ...
... prime factors of 9 . Dividing 693 by 9 gives 77 for a quotient , the prime factors of which are 7 and 11. Hence , the prime factors of 2772 are 22 , 32 , 7 , and 11 ; or , which is the same thing , 2772 = 22 X 32 X 7 X 11 . 2. What are the ...
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added amount angle answer apples barrels bought broadcloth bushels called cent column common ratio complete quotient compound contain cost cube cubic inches debt decametre decimal decimal fraction denominator difference dividend dollars equal example Explanation expressed feet flour fourth fraction gain gallon given number gives greatest common divisor Hence hundreds hundredths Illustrations improper fraction indorsement interest June 11 least common multiple Mdse method miles millions minuend months multiple of 9 multiplicand multiplied obtained by dividing paid payable payment pecks pounds prime factors principal quarts quotient received Reduce remainder result right hand figures rods root selling shillings sold square subtract Subtrahend ten-thousands tens tenths third thousands trial divisor units vulgar fraction weight worth write written yard
Δημοφιλή αποσπάσματα
Σελίδα 38 - Dry Measure. — 2 pints = 1 quart; 8 quarts = 1 peck; 4 pecks = 1 bushel.
Σελίδα 40 - NUMBERS. 12 units = 1 dozen. 12 dozen — 1 gross. 12 gross = 1 great gross. 20 units = 1 score.
Σελίδα 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.
Σελίδα 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.
Σελίδα 30 - APOTHECARIES' WEIGHT 20 grains = 1 scruple. 3 scruples = 1 dram. 8 drams = 1 ounce. 12 ounces = 1 pound.
Σελίδα 99 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Σελίδα 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.
Σελίδα 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
Σελίδα 133 - Two numbers are PRIME TO EACH OTHER when they have no common factor.
Σελίδα 339 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.