The First Part of the United States Arithmetic: Designed for Schools |
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Page 1
... method of proof , and its demon- stration , together with the numerous examples illustrative of each subject , give it a superiority over the generality of arithmetics heretofore published , and adapt it to the capacity of every pupil ...
... method of proof , and its demon- stration , together with the numerous examples illustrative of each subject , give it a superiority over the generality of arithmetics heretofore published , and adapt it to the capacity of every pupil ...
Page 15
... method of proof , is founded on the known axiom , that the whole is equal to the sum of all its parts . All that requires explaining is the method of placing the numbers , and carrying for the tens , both which are evident from the ...
... method of proof , is founded on the known axiom , that the whole is equal to the sum of all its parts . All that requires explaining is the method of placing the numbers , and carrying for the tens , both which are evident from the ...
Page 16
... method ; though it is liable to this inconvenience , that a wrong opera ... proof ; and to make a false one appear true , there must be at least two ... proof as to any other . Q. How do you set down integers to be added ? Q. Why do you ...
... method ; though it is liable to this inconvenience , that a wrong opera ... proof ; and to make a false one appear true , there must be at least two ... proof as to any other . Q. How do you set down integers to be added ? Q. Why do you ...
Page 22
... PROOF . Add the remainder to the less number , and if the sum be equal to ... method will appear from what is shown in Ad- dition . DEMONSTRATION . 1 ... method of proof is evident ; for the dif- ference of two numbers added to the less ...
... PROOF . Add the remainder to the less number , and if the sum be equal to ... method will appear from what is shown in Ad- dition . DEMONSTRATION . 1 ... method of proof is evident ; for the dif- ference of two numbers added to the less ...
Page 30
... METHOD OF PROOF . Change the places of the multiplier and multiplicand , and if the product found from this operation is the same as be- fore , the work is correct . DEMONSTRATION . 1. When the multiplier is single digit , it is evident ...
... METHOD OF PROOF . Change the places of the multiplier and multiplicand , and if the product found from this operation is the same as be- fore , the work is correct . DEMONSTRATION . 1. When the multiplier is single digit , it is evident ...
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The First Part of the United States Arithmetic: Designed for Schools William Vogdes No preview available - 2016 |
Common terms and phrases
1dwt 1hhd 2fur 3hhd 4dwts 4fur 5fur 6fur 7fur APOTHECARIES avoirdupois weight bales barrels of flour bushels cents ciphers composite number cords cost difference divided by 9 dividend division divisor dollars dozen drachms dry measure ells equal excess of 9s excess of nines four furlongs gallons given numbers grains greater Grenada higher denomination hogsheads hundred inches integers less number merchant bought method of proof millions mills MISCELLANEOUS EXERCISES multiplicand multiplier number of examples Odwt Ofur Ohhd ounces paid pair Pennsylvania pennyweight perches PETER HAINES Philadelphia pints Port wine pounds prime factors prime number quantity quarts quotient quotient figure Repeat the table roods RULE sold solid feet square miles square rod square yards subtraction sugar tens Thousand 321 tons troy weight United States Arithmetic Vogdes weight whole number
Popular passages
Page 49 - Multiply the last remainder by the preceding divisor, or last but one, and to the product add the preceding remainder ; multiply this sum by the next preceding divisor, and to the product add the next preceding remainder ; and so on, till you have gone backward through all the divisors and remainders to the first.
Page 17 - ... any number divided by 9, will leave the same remainder as the sum of its figures, or digits, divided by 9, which may be thus demonstrated.
Page 89 - Proceed in this way through all the denominations to the highest, and the quotient last found, together with the several remainders, if any, will give the value sought.
Page 36 - The reason of this method is obvious ; for any number multiplied by the component parts of another, must give the same product as if it were multiplied by that number...
Page 47 - ... and it is evident, that as often as the whole divisor is contained in the whole dividend, so often must any part of the former be contained in a like part of the latter. * This follows from the second contraction in Multiplication...
Page 14 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty 21: twenty-one 22: twenty-two...
Page 57 - Troy Weight. 24 grains (gr.) — 1 pennyweight (dwt). 20 pennyweights — 1 ounce (oz.) 12 ounces — 1 pound (Ib.).
Page 31 - Place the least number under the greatest, so that units may stand under units, tens under tens, &c. .and draw a line under them. 2. Begin at the right hand, and take each figure in the lower line from the figure above it, and set down the remainder.
Page 24 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Page 44 - When the divisor is large, the pupil will find assistance in determining the quotient figure, by finding how many times the first figure of the divisor is contained in the first figure, or if necessary, the first two figures of the dividend.