The First Part of the United States Arithmetic: Designed for Schools |
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Page 10
... Cipher , or nought . or one . 0 1 8 9 Unit , Two . Three . Four . Five . Six . Seven . Eight . Nine . 2 3 4 5 6 17 These characters , with the exception of the cipher , are called digits , or significant figures . Besides this value of ...
... Cipher , or nought . or one . 0 1 8 9 Unit , Two . Three . Four . Five . Six . Seven . Eight . Nine . 2 3 4 5 6 17 These characters , with the exception of the cipher , are called digits , or significant figures . Besides this value of ...
Page 11
... cipher , stands for nothing of itself , but being placed on the right hand of other figures , it increases their value in the same tenfold proportion ; thus 6 signifies only six ; but 60 signifies six tens , or sixty ; 600 is six ...
... cipher , stands for nothing of itself , but being placed on the right hand of other figures , it increases their value in the same tenfold proportion ; thus 6 signifies only six ; but 60 signifies six tens , or sixty ; 600 is six ...
Page 14
... cipher , and carry as many ones to the next row as there were tens . 4. Add up the second row , together with the number car- ried in the same manner as the first ; and proceed thus till the whole is finished . The reason why we carry 1 ...
... cipher , and carry as many ones to the next row as there were tens . 4. Add up the second row , together with the number car- ried in the same manner as the first ; and proceed thus till the whole is finished . The reason why we carry 1 ...
Page 30
... cipher . 4. Carry as many units as there were tens to the product of the next figure , and proceed , in like manner , till the whole is finished . 5. Add all the products together , and their sum will be the answer required . If two ...
... cipher . 4. Carry as many units as there were tens to the product of the next figure , and proceed , in like manner , till the whole is finished . 5. Add all the products together , and their sum will be the answer required . If two ...
Page 33
... ciphers in the numbers to be multiplied . RULE . 1. If the ciphers are at the right hand of the numbers , multiply the other figures only , and place as many ciphers at the right hand of the product , as are at the right hand of both ...
... ciphers in the numbers to be multiplied . RULE . 1. If the ciphers are at the right hand of the numbers , multiply the other figures only , and place as many ciphers at the right hand of the product , as are at the right hand of both ...
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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.