Is the dividing of numbers of different denominations: In doing which, always begin at the higheft, and when you have divided that, if any thing remains, reduce it to the next lower denomination, and so on, till you have divided the whole; taking care to fet down your quotient figures under their respective denominations. 10. Suppofe that two places lie east and west of each other, and it is found by obfervation, that it is noon at the former 2 hours, 6' 30" fooner than at the latter; how many degrees are they afunder? 4') 2b. 6' 30" Reduce the hours and minutes to minutes, then, minutes divided by 31° 37' 30" Anf. 4', give degrees in the quotient. 11. The longitude of Cambridge is 4h. 44′ 17′′, and that of Philadelphia, 5h. o' 43"; how many degrees difference? -Having the price of any number of yards, &c. within the Fence table, to find the price of unity, or 1 yard :-If the quantity do not exceed 12, proceed by fetting down the price, and dividing it by the quantity; which quotient will be the price of 1 yard, required; but if the quantity exceed 12, then divide by z fuch numbers, as, when multiplied together, will produce the quantity, and the last quotient will be the value of 1 yard, required. Note. This cafe proves the firft and fecond cafes in Compound Multiplication. 1. If 9 yards of cloth coft £4 35. 71d. what is it per 2. If 7 ells coft £5 175. 5d. what cost 1 ell? 3. If 11 fheep colt £6 5s. 9d. what did each cost ? 4. If 12 gallons of rum coft £8 11s. 9d. what is it per gallon? Note. When the given quantity (or divifor) is large, and not a compofite number, the operation may be performed by long Divifion. CASE II. Having the price of a hundred weight, to find the price of 1lb.. Divide the given price by 8,, that quotient by 7, and this quotient by 2, and the last quotient will be the price of If required. 1. If 1Cwt. of flax coft £275. Sd. what is that per It? S. d. L. 8)2 7 8 7)0 5 11 2)0 0 100 gr. o 5d. price of one pound. 2. At 3 10s. per Cut. what coft If? 3. At £6 6s. per Cwt. what coft ilb? Anf. 7d. Anf. 1s. 1 d. 4. At £42 11s. 8d. per Cut, what coft ilb? Anf. 7s. 74d CASE III. Having the price of feveral hundred weight,, to find the price per lb. Divide the whole price by the number of hundreds, which will give the price per Cwt. and then, proceed as in the last Cafe. Per 1. If 5 Cut. of fugar coft £13 8s. 4d, what is that די £. s. d. 2. If 8Cwt. of cocoa cost £15 175. 4d. what is that per lb? 3. Anf. 44d. If 31Cwt. of fugar coft £9 17s. 2d. what is that per lb ? Anf. 6d. 4. If 1Cut. of cotton wool coft £6 10s. 8d. what is that per lb? Anf. 8d. Note. This Cafe proves the 7th, in Compound Multiplication. CASE IV. Having the price of any number of yards, c. to find the price of 1 yard-Divide the price by the quantity, beginning at the highest denomination, and, if any thing remain, reduce it into the next, and every inferior denomination, and, at each reduction, divide as before, remembering, each time, to add the odd fhillings, pence, &c. if there be any, and you will have the value of unity required. 2 Note. If there be 4, or 4 of a yard, pound, &c. multiply both the price and quantity by 4, and then proceed as above directed. 1. If 95 lb of figs coft £16 135. 6d. what are they per lb? Produces 382 for a divr. Pro. £66 14 3 fora dividing £. s. d.. 2. If 147 bushels of rye coft £47 per bufhel? 12s. 6d. what is it Anf. 6s. 54d. 3. If 334 yards of baize coft £25 135. 94d. what is it per yard? Anf. 15s. 54d.. Note. This proves the 3d and 4th Cafes in Multiplication. RULE S For reducing the Federal Coin, and the Currencies of the feveral United States; alfo English, Irifh, Canada, Novafcotia, Livres Tournois, and Spanish milled Dollare, each, to the par of all the others. 1. To reduce Newhampshire, to decimals, by Infpection, (Cafe 3d, Dec. Frac.) divide the whole by 3, putting the comma one figure further to the right hand in the quotient, than in the pounds of the divider. and |