Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |
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Page 19
... dollars , & c . , they are called concrete numbers . When they do not refer to any particular object , as when we say four and five are nine , they are called abstract numbers . 2. Whole numbers are often called integers . 3. Numbers ...
... dollars , & c . , they are called concrete numbers . When they do not refer to any particular object , as when we say four and five are nine , they are called abstract numbers . 2. Whole numbers are often called integers . 3. Numbers ...
Page 31
... dollars , all pounds , & c . , the operation is called Simple Addition . Ex . 2. A miller bought 7864 bushels of wheat of one man , 4952 bushels of another , and 3273 bushels of another : how many bushels did he buy of all ? Operation ...
... dollars , all pounds , & c . , the operation is called Simple Addition . Ex . 2. A miller bought 7864 bushels of wheat of one man , 4952 bushels of another , and 3273 bushels of another : how many bushels did he buy of all ? Operation ...
Page 34
... dollars for his farm , 1645 dollars for a house , 865 dollars for stock , and 467 dollars for tools ; how much did he pay for the whole ? 2. A produce merchant bought 5 cargoes of corn ; the first con- QUEST .-- Note . Why add the ...
... dollars for his farm , 1645 dollars for a house , 865 dollars for stock , and 467 dollars for tools ; how much did he pay for the whole ? 2. A produce merchant bought 5 cargoes of corn ; the first con- QUEST .-- Note . Why add the ...
Page 35
... dollars to his oldest son , to the next 4065 , o the next 6750 , to the next 8000 , and to the youngest 7276 dollars : how much did he give to all ? 5. A merchant , on settling up his business , found he owed one creditor 176 dollars ...
... dollars to his oldest son , to the next 4065 , o the next 6750 , to the next 8000 , and to the youngest 7276 dollars : how much did he give to all ? 5. A merchant , on settling up his business , found he owed one creditor 176 dollars ...
Page 37
... Dollars . Dollars . Yards . Pounds . 2425 46,519 607,253 421,536 3282 32,271 232,012 310,101 2793 17,436 211,849 797,019 2354 81,587 380,436 233,680 4262 28,333 578,551 124,402 9158 52,745 231,349 255,353 2653 23,052 145,763 852,057 ...
... Dollars . Dollars . Yards . Pounds . 2425 46,519 607,253 421,536 3282 32,271 232,012 310,101 2793 17,436 211,849 797,019 2354 81,587 380,436 233,680 4262 28,333 578,551 124,402 9158 52,745 231,349 255,353 2653 23,052 145,763 852,057 ...
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Common terms and phrases
acres amount annexed answer required apiece Arithmetic avoirdupois bank discount barrels bbls bought bushels called cancel ciphers CIRCULATING DECIMALS common fraction composite number compound numbers cost cube decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple less number miles mills mixed number months multiplicand Multiply notation number of days odd number Operation partial product payable pence period pound present worth prime factors prime number principal quotient rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy weight units usury weight whole number wine measure yards
Popular passages
Page 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 76 - Cut off as many figures from the right hand of the dividend as there are ciphers in the divisor. The remaining figures of the dividend will be the quotient, and those cut off the remainder.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 17 - 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.
Page 149 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Page 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 44 - PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right. OBS. This method of proof depends upon the principle, that the difference between two numbers being added to the less, the sum must be equal to the greater.
Page 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 369 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.