These lessons of mixed figures may be copied on the slate, omitting the sums total, and after the learner has computed them once or twice, he may copy them again, omitting the small figures also. When a teacher or monitor is examining the sums total of Addition, let him observe first, how many horizontal lines there are in the lesson; if seven, then there are three pairs or couplets and an odd line at the bottom. If the lesson consists of nine lines, there will be four couplets and an odd line. When a sum or lesson consists of three couplets, subtract 3 from the right hand bottom figure, and at the same instant set 3 on the left of the total line and bring down the remaining part of the odd line; as for example:-In lesson 11th, 2, 3, 4, 5, 6, make the odd line, and there are six lines above, which include three couplets; take 3 from 6 and 3 remain; set 3 in the sum total under 6, and set 3 on the left of the whole; then bring down the residue of the odd line, 2, 3, 4, 5, and the work will be done. In forming new lessons, observe, any two lines which make a couplet, being added together, their sums must be 9, 9, 9, 9. For instance take the two upper lines of lesson 11th, begin at the left hand, there you will see that 5 and 4 make 9; 1 and 8 make 9; 3 and 6 make 9; 7 and 2 make 9; and 8 added to 1 will make 9. Questions applied in Simple Addition. 17. If a person have on hand $455 in cash; if there be owing to him in book accounts $1059; in notes $109, and in bond $560; how much is the amount? Answer, $2,183. 18. If a man was born in the year 1755, when will he be 63 years of age? Answer, in the year 1818. 19. Suppose one bond be $3042, the principal of another $560, with $73 interest; how much will the two obligations amount to, principal and interest? Answer, $3,675. N. B. Dollar characters are made thus, $. 20. Add 4,672, 6,921, 2,864, 250, 28, and five hundred and ninety together, make the amount 15325. 21. How many strokes does a clock strike in four days? Answer, 624. 22. One cask of nails contains 348 pounds, a second cask 582, a third 944, a fourth 1421, and a fifilı 1319; how many pounds are in the whole? Answer, 4614. 23. If 4 bales of cloth coutain 40 pieces, and those pieces contain 1120 yards, and two other bales contain 24 pieces, in which are 720 yards; how many pieces and yards are there in the whole? Answer, 64 pieces and 1840 yards. 24. I pay 22 cents for butter, 34 for beef, 19 for mutton, 12 for vegetables, 18 for fish, 37 for cheese' add 75 for a bushel of salt; to how many cents do they all amount? Answer, 217. 25. A man hired a farm for which he paid $102 at the time of taking possession, $306 at the end o four years, $408 at the end of eight years, and $224 at the end of the term of ten years; how much was the amount of the rent? Answer, $1049. 26. I borrowed a sum of money, and paid in part $125; on examining my books, found $115 due to the lender; how much was the sum borrowed? Answer, $240. 27. There are two numbers, their difference is 155, and the lesser number is 172; what is the greater number? Answer, 327. 28. In travelling one week I expended 155 cents the first day, 162 the second day, on the third I paid for mending my waggon a sum equal to the whole I had paid out on the two previous days, and 175 cents over; at the end of the week, found by memo randums that I had paid out 337 cents more; how many cents were paid out in the whole ? Answer, 1146. 29. John, James, and Harry, purchased a cargo of salt. John paid $105, James paid $1,327, and Harry paid a sum equal to three times that of John, and twice the sum of James; what did the salt cost? Answer, $4,401. SIMPLE SUBTRACTION, shows how to take a small sum from a larger: as, 4 from 7, there remain 3; from 11 take 6, and 5 remain; 12 from 20, 8 remain. COMPOUND SUBTRACTION, teaches how to take sums of different denominations from larger sums of the same kind: as, pounds, shillings and pence, from pounds, shillings and pence; bushels, pecks and quarts, from numbers of the same kind; gallons, quarts and jills, from quantities of the same denominations; *hundreds, quarters and pounds, from the same denominations, &c. &c. See Card 26. KEY TO CARD No. 6. LESSON 1. I borrowed 2,468 dollars, and paid 1345; how much remains due? Answer, 1,123 dollars. Directions how to work. Write down in figures 2468, and exactly under those figures write 1345 as you see them on the card. 2468 Bor. Begin with the 5 and say, 5 from 8 1345 Paid. there remain 3: set down 3. Then 4 from 6 there remain 2: set ין 9 down 2. 1123 Due. Then 3 from 4 and 1 remains: set down 1. Then 1 from 2 and 1 remains: set down 1. *In the state of New-York, 100 pounds are allowed to be one hundred weight avoirdupois. 20. Add 4,672, 6,921, 2,864, 250, 28, and five hundred and ninety together, make the amount 15325. 21. How many strokes does a clock strike in four days? Answer, 624. 22. One cask of nails contains 348 pounds, a second cask 582, a third 944, a fourth 1421, and a fifil. 1319; how many pounds are in the whole? Answer, 4614. 23. If 4 bales of cloth coutain 40 pieces, and those pieces contain 1120 yards, and two other bales contain 24 pieces, in which are 720 yards; how many pieces and yards are there in the whole? Answer, 64 pieces and 1840 yards. 24. I pay 22 cents for butter, 34 for beef, 19 for mutton, 12 for vegetables, 18 for fish, 37 for cheese' add 75 for a bushel of salt; to how many cents do they all amount? Answer, 217. 25. A man hired a farm for which he paid $102 at the time of taking possession, $306 at the end o four years, $408 at the end of eight years, and $224 at the end of the term of ten years; how much was the amount of the rent? Answer, $1040. 26. I borrowed a sum of money, and paid in part $125; on examining my books, found $115 due to the lender; how much was the sum borrowed? Answer, $240. 27. There are two numbers, their difference is 155, and the lesser number is 172; what is the greater number? Answer, 327. 28. In travelling one week I expended 155 cents the first day, 162 the second day, on the third I paid for mending my waggon a sum equal to the whole I had paid out on the two previous days, and 175 cents over; at the end of the week, found by memo L randums that I had paid out 337 cents more; how many cents were paid out in the whole? Answer, 1146. 29. John, James, and Harry, purchased a cargo of salt. John paid $105, James paid $1,327, and Harry paid a sum equal to three times that of John, and twice the sum of James; what did the salt cost? Answer, $4,401. SIMPLE SUBTRACTION, shows how to take a small sum from a larger: as, 4 from 7, there remain 3; from 11 take 6, and 5 remain; 12 from 20, 8 remain. COMPOUND SUBTRACTION, teaches how to take sums of different denominations from larger sums of the same kind: as, pounds, shillings and pence, from pounds, shillings and pence; bushels, pecks and quarts, from numbers of the same kind; gallons, quarts and jills, from quantities of the same denominations; *hundreds, quarters and pounds, from the same denominations, &c. &c. See Card 26. KEY TO CARD No. 6. LESSON 1. I borrowed 2,468 dollars, and paid 1345; how much remains due? Answer, 1,123 dollars. Directions how to work. Write down in figures 2468, and exactly under those figures write 1345 as you see them on the card. 2468 Bor. Begin with the 5 and say, 5 from 8 1345 Paid. there remain 3: set down 3. Then 4 from 6 there remain 2: set down 2. 1123 Due. Then 3 from 4 and 1 remains: set down 1. Then 1 from 2 and 1 remains: set down 1. *In the state of New-York, 100 pounds are allowed to be one hundred weight avoirdupois. |