132 dols. 29 cts. Received payment by his note of the above date, at three months, For Stephen Nowlan, COMPOUND Abraham Trufty. DIVISION Teacheth to find how often one number is contained in another of different denominations. II. If the divifor exceeds 12, and it be found in the table, divide 1. Divide 2781. 8s. 9d. between 45 men equally. 5)278 8 9 955 13 9 Anf. 6 3 9 each. 2. If 20 lb. of indigo coft 71. 55. 1ọd. what is 3. If 24 yds. of Durant cost 62s. 6d. what is it per yard? 4. Anf. 25. 74d. If 72 bushels of corn coft 20l. 95. 6d. what is it per Anf. 5s. 8d. bufhel ? 5. If 108 lb. of tea cost £.45 13 6 what is 1lb. worth? Anf. 8f. 5 d. 6. When £.166 13 4 is paid for 500 gallons of rum, what is it per gallon? 7. If 1000 gallons of molaffes coft £.209 gallon ? 7 Anf. 6f. 8d. 6 what is it per Anf. 4f. 24d. III. If the divifor cannot be found by the multiplication of fmall numbers, as the preceding examples, divide by it as in the fol lowing 3. Divide £33 13 81 by 23. If Anl. £.1 9 31. 345 quintals of fifh coft £.409 13 9 per quintal ? 2 how much is it Anf. 23f. 9d. Dividing by fractional parts, as, 4, 4, &c. is the fame as multiplying by them. See the Rule under cafe II. in compound multipli cation. 2. Divide £.126 19 54 by . Anf. £.101 11 7. If the whole of a fhip is worth £.960 what is worth? 3. Or thus IV. Having the price of a hundred weight, to know how much it is per pound. RULE. Find the price of 1 or 2 quarters and then divide by the component parts. I. If 1 cwt. of steel cost £.4 6 44 6 4 4 what is it per lb.? 24 64 Anf. 2 d. 3. When 2 cwt. of sugar cost £.8 17 4 what is it per lb.? Anf. 91d. 4. If 5 cwt. of iron coft £.8 15 o how much is it per lb.? 5. If 4 cwt. of tobacco coft £.14 9 4 what is it per lb. ? Anf. 31d. Anf. 74d. 6. A mate and 3 feamen have to receive 600 dollars, for recap. turing their veffel, of which the mate is to have 2 shares, and each feaman one share; how much is the part of each ? Anf. the mate's part is 240 dols. and each feaman's 120. 7. Capt. M. of the Jafon, meets at fea with the wreck of the Hawk, of Bofton, from which he takes fundry articles, which fell for 521 dollars 64 cents: two-thirds of this fum is awarded to the owners of the Hawk; of the other, the owners of the Jason are to have, and the remainder is to be divided between the captain, mate, and nine seamen, allowing the captain 3 shares, the mate 2, and the feamen 1 share each; what is the respective part of thofe concerned ? dols. cts. DECIMAL FRACTIONS. A DECIMAL FRACTION is that, whose denominator is an unit, with as many cyphers annexed to it as the numerator has places, and is ufually expreffed by writing the numerator only, with a point before it, called the feparatrix; thus, 1, 1, are decimal fractions, and are expreffed by ,5,25,125 refpectively. 25 125 The figures to the left hand of the feparatrix are whole numbers; thus 4,5 yards is 4 yards and 5 tenths or one half of another yard. Cyphers placed to the right hand of decimals, make no alteration in their value; for,5,50,500 &c. are decimals of the same value, being each equal to ; but when placed to the left hand, the value of the fraction is decreased in a tenfold proportion; thus 5,05,005 &c. are 5 tenth parts, 5 hundredth parts, 5 thousandth spectively. parts, re But the different value of figures will appear plainer by the fol lowing From this table it appears, that as whole numbers increase in a ten fold proportion from units to the left hand, fo decimals decrease in the fame proportion to the right,--and that in decimals, as in whole. numbers, the place of a figure determines its relative value. |