The United States Arithmetic: Designed for Academies and SchoolsE. C. & J. Biddle, 1847 - 256 pages |
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Page 10
... Cipher , 0 1 Unit , Two . Three . Four . Five . Six . Seven . Eight . Nine . or nought . or one . 2 3 4 5 6 7 8 9 These characters , with the exception of the cipher , are called digits , or significant figures . Besides this value of ...
... Cipher , 0 1 Unit , Two . Three . Four . Five . Six . Seven . Eight . Nine . or nought . or one . 2 3 4 5 6 7 8 9 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 United States Arithmetic: Designed for Academies and Schools William Vodges William Vogdes No preview available - 2019 |
Common terms and phrases
1hhd 6fur acres amount Answer arithmetical arithmetical progression barrels barter bill Bought breadth bushels cents per lb ciphers circumference common difference compound compound interest containing cost cube cubic currency decimal diameter discount Divide dividend divisor dollars DRY MEASURE equal EXAMPLES federal money feet figures furlongs gain gallons geometrical progression geometrical series given number greatest common measure gross hogsheads improper fraction inches interest last term least common multiple length lowest terms merchant miles MISCELLANEOUS EXERCISES mixed number months multiplicand Multiply neat weight number of terms Ohhd ounces payable payment pence perches person piece present worth PROBLEM Proof quantity quotient Reduce remainder rix-dollar roods RULE shillings side silver simple fraction sold solid square root square yards subtract sugar tare triangle TROY WEIGHT United vulgar fraction whole number wine yards of cloth
Popular passages
Page 62 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal.) 31| gallons = 1 barrel (bbl...
Page 213 - The extremes and number of terms being given, to find the sum of all the terms. RULE. Multiply the sum of the extremes by the number of the terms, and half the product will be the sum of all the terms.
Page 54 - Scale: 4 farthings (far.) = 1 penny (d.); 12 pence = 1 shilling (s.) ; 20 shillings — 1 pound (£). 156.
Page 174 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 61 - TABLE. 4 nails, (na.) or 9 inches, make 1 quarter, marked qr. 4 quarters, or 36 inches, - 1 yard, - - - - yd. 3 quarters, ------ 1 ell Flemish, - - E. Fl 5 quarters, ------ 1 ell English, - - EE 6 quarters, ------ 1 ell French, - - E. Fr 27.
Page 124 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 111 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 215 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terns. EXAMPLES. 1. If the extremes be 3 and 45, and the common difference 2 ; what is the number of terms 1 Ans.
Page 203 - ... a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of.
Page 175 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.