## The North American Arithmetic: For Advanced Scholars. part third |

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accounts acres added allowing amount annum answer balance barrels Bill Bought bushels called cents cloth common compound contain continual cost cube root cubic decimal denominator denoted diameter difference divided dividend divisor dollars equal example exchange expressed Extract extremes factors Federal money feet figure foot four fourth fraction francs gain gallons give given greater half hand head hundred inches interest length less London mean measure merchant miles mixed months multiplied observed obtain operation ounces paid payable payment period person places pounds present worth principal PROBLEM proportion quantity quotient ratio received Reduce remainder result rods RULE sell share shillings side sold square root sterling Subtract Suppose term things third United vulgar fraction weight whole wide wine yards

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Page 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...

Page 104 - 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. 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...

Page 7 - Cardinal numbers: 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...

Page 183 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.

Page 38 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 27 - 10 pounds, Avoirdupois weight, of distilled water, weighed in air, at the temperature of 62° of Fahrenheit's thermometer, the barometer standing at 30 inches.

Page 203 - ALTERNATE is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate : so that it is the reverse of Alligation Medial, and may be proved by it. RULE. 1. Write the rates of the simples' in a column under each other.

Page 184 - ... 5, 7, 9, 11, 13, 15, &c. is an ascending series. ( 15, 13, 11, 9, 7, 5, 3, &c. is a descending series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.

Page 155 - Division being the reverse of multiplication, it is evident, that if we subtract the exponent of the divisor from the exponent of the dividend, the remainder is the exponent of the quotient.

Page 216 - EXCHANGE is the act of paying or receiving the money of one country for its equivalent in the money of another country, by means of Bills of Exchange. This operation, therefore, comprehends both the reduction of moneys and the negotiation of bills; it determines the comparative value of the currencies of different nations, and shows how foreign debts are discharged, and remittances made from one country to another, without the risk, trouble, or.