QUESTIONS FOR PRACTICE. English Money. 1. In £65 4s. 6d. 2qr. how 1. In 62618qr. 'how many many farthings? pounds? 2. In £1465 143. 5d. how. 2. In 1407092qr. how many many farthings? pounds? 3. In $47 4s. how many 3. In 286s. how many dot shillings? lars? 4. In 29 guineas, at 28s. 4. In 38976qr. how many how many farthings? guineas? 5. in 40 guineas how many 5. In £56 How many gui pounds? neas? Time. '1. In 4d. 22h. Am. 20s. how 1. in 425060s. how many unany seconds ? days? 2. How many minutes in a 2. In 525960m. how many year? years? 3. How wany hours in a 3. In 876600h. how many -centiry? centuries? Troy Weight. 1. In 131b. how many 1. In 74880grs. how many grains pounds? 2. In 221b. 6oz. 10pwt. how 2. In 129540gr. how many many grains? pounds? Avoirdupois Weight. 1. In 4 tons how many 1. In 143360oz, how many ounces? pounds? 2. In 7cwt. 3qr. how many 2. In 222 208 drams, how drams? 8. In 1961b. bow many 3. In 8136oz. how many ounces? pounds? Long Measure. 1. In 26 rods how many 1. In 143 yards how many yards? rods? 26 As 53 yds. make 1 rod, Here we reduces 515.5 we multiply the rods by 5.5)143.0(26rd. to a decimal, as be many cwt.? 51. To render the mul. 110 fore, and divide as 130 tiplication by more in decimals,(128) 130 casy, we reduce it to 330 Whenever a fracdecimals,(130)and then 330 tion occurs, it may 143.Dyd. proceed as in decimals. be changed to a (122) decimal, and wired as such. 3 ny miles? ny miles ? 139, 7.10. 15 2. In 3 miles how many 2. In 15840 fi. how many feet? miles? 2. In 47 m. 5 fu. 16 rd. 12ft. 3. In 3020838 in. how maS'in, how many inches? 4. How many inches round 4. In 1578424320 in. how the earth? many degrees? Cloth Measure. 1. In 59 yds. how many 1. In 944 nails how many uails? yards? 2. In 862 E. E. 2 qr. how 2. In 7248 nails how many 'tnany nails? E. ells? 3. In 576 E.F. how many 3. In 1728 qr. how many quarters? F. ells? Square Measure. 1. In 1500 acres how many 1. In 24000 rd. how many rods? acres? 2. In a township 6 miles 2. In 23040 acres how masquare, how many acres? 3. In 24 square yards, how '3. In $1104 in. how many square yards ? Solid Measure. 1. How many inches in 2 1. How many cords in cords of wood? 442368 solid inches? 2. How many inches in 27 2 In 1259712* in. How solid yards? many yards? Wine Measure. 1. In 178 hhd. how many 1. In 89712 pt. how many pints? hogsheads? 2. In 5 pipes how many 2. In 20160 gills how many gills? pipes? Beer Measure. 1. In 8 barrels how many 1. In 2304 pts. how many pints? barrels? 2. In 14 hhd. how many 2. In 3024 qts. how many quarts? hogsheads! Dry Measure. 1. In 9 quarters how many 1. In 4603 pts. how many pints! quarters? 2. Reduce 36 bu. 2 pk. & qu. 2. Reduce 2349 pints to I wi.'10.piats, bushels Bany inches Circuiar Measure. 1. In 6 signs how inany 1. How many signs in minutes? 10800 minutes? 2. In 47° 28' 15" how many 2. In 170595" how many seconds ? degrees? REDUCTION OF DECIMALS. a oz. 4:00 141. 1. Reduce 4 ounces 142. 1. How many ounces to the decimal of a pound. are 0:35 of a pound? 4oz.=te lb. As 1 lb. is Pounds are reduced to .25 16)4.0(.25 16 oz. 4 oz. are ounces by multiplication, 32 16 (139) and .25 lb. multit of a pound, plied by 16, the oimces and to reduced 150 in a pound, the product 80 25 to decimal, (122) is 4 ounces. 80 (130) is..25 of a pound. 2. How many inches are 2. Reduce 3 inches to the 0.0833+of a yd decimal of a yard. Yards are reduced to feet 12)3.06.25 3 inches=is of 0.0833 by multiplying them by 3, 24 3 and feet to inches by mula foot, and tiplying by 12, (139.) =0.25 ft. and 0.25 0.2499 Here it will be seen, by 60 ft. are reduced to 12 comparing this with the yards by dividing example at the left hand, 3)0.2500 them by 3, (140). 2.9988 that there is a loss of 12 The sign + denotes ten thousandths of an inch, on account of the decimal being in- 3. In 0.35 of a day, how many hours and minutes ? 3. Reduce 8 hours 24 min. 0.35 To reduce dlays to to the decimal of a day. 24 hours, we multiply by 24, and the 60)24. 24m.=th=0.4h. duct is 8.4 h. and 140 then 8h. 24m=8.4h. 70 .4 multiplied hy 60 gives 24 minutes; h. 8.40 then 0.35 d.=8h. 0.35 of a day. 0.35d, 60 24.mio. pro. 24)8,40 and 8.4h. 8.4d. 1 24.0 Tce above methods of changing decimals to integers of a different de Demiration, and the revera's, are called the Reduction of Ilenimals 143, 144, 145. REDUCTION 47 143. To reduce compound 144. To find the value of a numbers to decimals of the decimal in integrers of a lower highesi denomination. denomination. Rule.- Divide the lowest RULE.-Multiply the decidenomination (annexing one mal by that number which it or more cipher, as shall be takes of the next lower deno. found necessary) by the num- mination to make one of the ber which it takes of that to denomination in which tlic make one of the next higher decimal is given, and point denomination,(126)and write oft ' as in the multiplication of the quotient as a decimal of decimals.(122) Multiply tho the higher; divide this higher decimal part of the product denomination by the number by the number it takes of the which it takes to make one next lower denomination to still higher, and so continue make one of that, and so on; to do till it is brought to the the several numbers at the left decimal required. of the decimals will be the answer. QUESTIONS FOR PRACTICE. 1. Reduce 2 yards, 2 feet, 1. Reduce 0.5303 rod to and 9 inches to the decimal yards, feet and inches. of a rod. 0.5303X5.5=2.91665yd. 12)9.00(0.75 ft. 0.91665X3=2.74995ft. 0.74995X12=8.9994in or 3)2.75(0.9166 yd. 2yds. 2ft. Iin. nearly, Ans. 5.5)2.9166(0.5303 rd. Ans. 2. In 0.51251. how man! shillings and pence? 2. Reduce 108. 3d. to the decimal of a pound. 3. What is the value o 3d.riss.=0.25s. and 0.0625s.? 10.258.=12251.=0.51251. 4. What is the value of 3. Reduce 3qrs. to the decimal of a shilling. 0.640625l. in integers? 4. Reduce 12s. Id. 3qr. to he decimal of a pound. 145. In computing interest, it is common to consider 38 days one month, and 12 months a year. Reduce 8 months 21 days Reduce 0.725 year to the decimal of a year. months and days. 21d.= m.=0.7m. and 8m. 0.725X12=8.7mo. and 214.0.725yr. Ans. 0.7X30=210 90 on. 3. ADDITION. 146. 1. A person gave £2 17s. and 8d. for a load of hay, £1 58. 3d. for 5 bushels of wheat, and 10s. 4d. for a load of wood; what did the whole cost? As we may very evidently add pence to pence, shillings 1. 8. d. to shillings, &c. we write down the numbers so that pence 2 17 8 shall stand under pence, shillings under shillings, and 1 5 3 We then add the pence, and find their sum to be 10 4 15d. but as 12d.=]s. 15=ls. 30. We therefore write down 3d. under the column of pence, and reserve the Is. 4 13 3 Ans. to be joined with the shillings. We now add together the shillings, which, with the ls. reserved, amount to 33s. 4 13 3 proof. =£1 138. we therefore write 13s. under the column of shillings, and reserve the £1 to be joined with the pounds. Lastly, we add the pounds, and joining the £1 reser ycd, write the amount, £4, under the column of pounds; and thus we find the whole cost to be £4 13s. Bd. The above process is called Corçound Addition. COMPOUND ADDITION 147. Is the uniting together of several compound numbers into one sum.(48) RULE 148. Place the numbers to be added so that those of the same denomination may stand directly under each other. Add the numbers of the lowest denomination, and carry for that number which it takes of that denomination to make 1 of the next higher, writing the excess, if any, at the foot of the column. Proceed with each denomination in the same way, till you arrive at the last, whose amount is to be set down as in Simple Addition. PROOF.-The same as in Simple Addition. QUESTIONS FOR PRACTICE. TROY WEIGHT. £ 8. d. 8. Ib. oz. pwt.gr: 48 10 10% 17 3 15 15 14 10 18 20 94 3 13 16 41 13 2 19 16 13 10 17 15 13 9 1 19 0 64 15 6 10 8 27 10 4 23 oz. dr. TIME. AVOIRDUPOIS WEIGHT. mo. w. d. b. m. yr. d. h. m. T.cwt.qr. lb. oz. Ib. 8 3 3 23 41 5 320 21 17 2 16 1 15 8 15 15 15 3 1 6 15 10 17 100 7 49 2 12 2 10 7 8 12 13 0 19 57 4 26 22 35 ! 1 7 3 5 13 10 11 |