3. Divide 679195 by 84. Ans. 8085 Ans. 7409463 RULE III. When there are ciphers annexed to the Divisor, cut them off; and cut off as many figures from the Dividend ; annex these figures to the Remainder. EXAMPLES. 1. Divide 41285 by 30. 2. Divide 72400 by 100. Ans. 1376,5 Ans. 724 Ans. 1911 Ans. 54788 Ans. 5449888 6. The area of a room 16 feet broad is 512 feet, what is its length? Ans. 32 feet. SUPPLEMENT TO MULTIPLICATION AND DIVISION. I. When the Multiplier contains a fraction. RULE. First multiply by the upper figure of the fraction, and divide the Product by the under figure, then multiply by the whole number, and add the Product to the Quotient. EXAMPLES. 1. Multiply 7854769 by 99. 5. Multiply 3846768 by 4161. Ans. 76583997 Ans. 1207906294 Ans. 737444087 II. When the Divisor contains a fraction. RULE. Multiply the Divisor by the under figure of the fraction, and add the upper figure to the Product; multiply the Dividend also by the under figure of the fraction, and then divide. Is the changing of numbers from one name to another, without altering their value. To bring a greater name into a less. RULE. Multiply the given number by as many of the less name as make one of the greater; adding to the Product the parts of the second name, if any; proceed in the same manner, till you have brought it as low as is required. To bring a less name into a greater. RULE. Divide by as many of the less name as make one of the greater; and thus proceed till you have brought it into that name required; the last Quotient, together with the several Remainders, if any, will be the answer. Mixed Reduction is when both Multiplication and Division are used. RULE. Reduce the given numbers into one name; then divide the one by the other. PROOF. Reverse the Question. STERLING MONEY. EXAMPLES. 1. Reduce 128. 111d. into farthings. Ans. 622. 2. In 1 pound, how many shillings, pence, and farthings? Ans. 20s. 240d. 960ƒ. 3. In 7343 farthings, how many pounds? Ans. 77. 12s. 11ąd. 4. In 40l. 10s. 6d. how many pence, halfpence, and farthings? Ans. 9726d. 19452 halfpence, 38904 farthings. 5. In 12s. 2 d. how many halfpence? Ans. 293. 6. In 900 guineas, how many sixpences and pence? Ans. 37800 sixpences, 226800d. 7. Reduce 3097. 15s. 103d. into farthings. Ans. 297403. 8. In 912 farthings, how many shillings? Ans. 19s. 9. In 4089 farthings, how many pounds? Ans. 41. 5s. 21d. 10. In 4009 halfpence, how many pounds? Ans. 81. 7s. Old. 11. In 42336 farthings, how many guineas? Ans. 42. 12. In 7200 farthings, how many crowns? Ans. 30. 13. Reduce 7367. 17s. 11 d. to halfpence. Ans. 353711. 14. Reduce 275l. 10s. 10 d. to farthings. Ans. 264523. 15. Reduce 205l. 16s. 21d. to farthings. Ans. 197577. 16. Reduce 2107. 10s. 6d. to sixpences. Ans. 8421. 17. Reduce 2000l. 17s. 8d. to fourpences. Ans. 120053. 18. Reduce 74867 farthings to pounds. Ans. 77l. 19s. 8 d. 19. Reduce 650967 halfpence to guineas. Ans. 1291 guineas, 12s. 74d. 20. Reduce 74894 threepences to pounds. Ans. 9361. 3s. 6d. 21. Reduce 74861. to guineas. Ans. 7129 guineas, 11s. 22. In 10864 farthings, how many crowns, halfcrowns, sixpences, and pence, and of each an equal number? Ans. 28 of each. 23. In 40 guineas, how many pounds? Ans. 427. 24. In 2837. 9s 6d. how many shillings, half crowns, and crowns, Ans. 667 of each. and of each an equal number? 25. In 842 crowns, how many guineas? Ans. 200 guineas, 10s. TROY WEIGHT. 26. In 6 lb. 10 oz. 5 gr., how 39365. many grains? Ans. 27. In 213212 grains, how many pounds? Ans. 37 lb. 3 dwt. 20 gr. 28. In 9120 gr. of silver, how many teaspoons, each half an ounce? Ans. 38. 29. In 9 ingots of silver, each 2 lb. 10 oz. 10 dwt., how many grains? Ans. 149040 gr. APOTHECARIES' WEIGHT. 30. In 2 lb., how many oz. dr. scr. and gr.? Ans. 24 oz. 192 dr. 576 scr. 11520 gr. 31. In 546 lb. 18 gr., how many grains? Ans. 3144978 gr. 32. In 56789 scruples, how many lb. ? Ans. 197 lb. 2 oz. 1 dr. 2 scr. AVOIRDUPOIS WEIGHT. 33. In 6 cwt. 1 qr. 18 lb., how many drams? Ans. 183808. 34. In 30 tons, 18 cwt. 2 qr. 20 lb. 12 oz. 15 dr., how many drams? Ans. 17738959 dr. 35. In 215040 oz., how many tons? Ans. 6 tons. 36. In 540 parcels of sugar, each 181 lb., how many cwt.? Ans. 87 cwt. 3 qr. 27 lb. WOOL WEIGHT. 37. In 2 weys, how many pounds of wool? Ans. 364 lb. 38. In 13104 lb., how many lasts? Ans. 3. 39. In 8 lasts, how many stones? Ans. 2496. HAY AND STRAW WEIGHT. 40. In two loads of straw, how many pounds? Ans. 2592. 41. In 10080 lb. of old hay, how many loads? Ans. 5. 42. In 3 loads, 30 trusses, 42 lb. of new hay, how many lb.? Ans. 8322 lb. CLOTH MEASURE. 43. In 400 yds., how many nails? Ans. 6400 nails. 44. In 500 nails, how many yds.? Ans. 31 yds. 1 qr. 45. In 764 ells English, how many yds.? Ans. 955 yards. 46. In 6 pieces of cloth, each 20 yards, how many nails and inches? Ans. 1968 nails, 4428 inches. LONG MEASURE. 47. Reduce 1 mile into inches. Ans. 63360. 48. In 1362240 inches, how many miles? Ans. 21. 49. Reduce 360 miles, 4 furlongs, 27 poles, 21 yards, to inches. Ans. 22846716 inches. 50. Reduce 7486973 feet to miles. Ans. 1417 miles, 7 furlongs, 35 poles, 5 yards, 6 inches. 51. How often will a wheel, of 18 feet circumference, turn in running betwixt Edinburgh and Glasgow, the distance being 44 miles? Ans. 125574. 52. How many inches will reach round the world, which is 360 degrees, and each degree 69 miles ? Ans. 1573862400. 53. How many inches will reach round the moon, of which the circumference is 6817 miles, 2 furlongs, 7 poles? Ans. 431942346 inches. LAND MEASURE. 54. In 20 acres, how many poles? Ans. 3280 poles. |