## The United States Arithmetic: Designed for Academies and Schools |

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The United States Arithmetic: Designed for Academies and Schools William Vodges William Vogdes No preview available - 2019 |

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Accounts acres addition allowance amount Answer barrels bill Bought bushels called cents cents per lb circumference cloth common compound containing cost cube currency decimal denominator diameter difference discount Divide dividend division divisor dollars equal EXAMPLES exchange expression factors federal money feet figures foot four fraction gain gallons give given given number greater gross half hand hundred inches interest length less mean measure merchant miles mixed months Multiply neat weight ounces paid payment perches person piece pounds prime principal PROBLEM Proof purchased quantity quotient receive Reduce remainder Rule shillings side silver simple sold solid square subtract sugar Suppose tare third United wall weeks weight whole wide wine worth write yards

### 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.