cumference, turn round in going 1 foot, or 12 inches ? In going 3 feet, or 36 inches? In going 5 feet? 12 feet? How many times in going across the street, allowing it to be 3 rods, 3 yards, and 1 fuot, or 660 inches ? 13. What must be the circumference of a wheel that turns round twice in going 2 feet, or 24 inches? 14. How many shillings in 8 d. +6d.+ 10 d. ? 21. What part of a month is 1 day? A. 76. Is 2 days? 25. How many times 2 in 1 ? (To divide a fraction, we multiply the denominator, or divide the numerator.) 2 in it? 3 in 1 ? 3 in 1{ ? 4 in 1 ? 26. How much is 1 of 35 of a month? 1 of 1 of a month? of a month divided by 2 is how much? How much is } of so of a month ? 27. James has šof a dollar, Rufus , and Thomas the remainder of the dollar ; what is Thomas's part ? 28. William had $ of a ticket, Henry , and James }; what part of a ticket did they all own? (F'ind how many 8ths each had first.) 29. What kind of fractions are the following, viz. I, 4, 5, 71, 2, of +? 30. Reduce } to a decimal. 31. What decimal is equal to 1? *? ? 3? 32. James has 2 of a ticket, William ,5, Thomas ,2, and Harry the remainder; how much does Harry have ? 33. What is the amount of ,3+,4+,1? 34. Multiply ,6 by ,5. 35. How much is ,5 of 5? 36. How much is ,3 multiplied by 4? Exercises for the State. 1. 2685 + 87+8+60= A, 2840. 2. 3789543 - 2689 A. 3786854. 3. 7236845 X 1732= A. 12534215540. 4. 893645 ; 201 = A. 444528 1. 5. 89.734,87542 A. 24333439444 6. 7 is 7 of what number? A. 490. 7. 26 is of what number ? A. 104, 8. 20£. 18 6. 4 d. + 100£. 15-s. 6 d. +10 d. + 158. +18.6d. +3d.+ 14 d. 4. 122£. 6s. 4 d. 1 gr. a. From 1£. 15 s. take 19 s. d. A. 15 s. 11 d. 1 gr. 16. A man bought 4 hogsheads of molasses: the first contained 763 gallons; the second 634 gallons; the third 796 gallons, and the fourth 595 gallons. How many gallons in the whole? (Reduce the fractional parts to a common denominator before you proceed to add.) A. 279 28. 17. 3700160 + 10%+6+37,5 + 100800g A. 3744,200005. 18. What is the value of ,990625 of a pound? A. 195. 9.d. 3 qrs. 19. From 29 years, 5 mo. 3 days, take 23 hours 40 minutes. Å. 29 years, 5 mo. 2 days, 0 hours, 20 minutes. Hote-When it is required to find the distance of time from one date to another, it may be easily done by subtracting the first date from the lasty, reckoning the months according to their order in the year; thus, January is 1st mo., February 2d mo.; &c. 20. What is the difference of time between March 27, 1827, and February 15, 1828? (12) (30) 1828, 2d mo. 15th day. In computing interest, we reckon 1827, 3d mo. 27th day. 30 days to the month, and 12 montla Ans. 10 mo. 18 days. 21. What is the difference of time between April 14, 1827, and March 16, 1828 ? A. 11 mo. 2 days. 22. A note, dated July 1, 1826, was paid June 20, 1828; how long was the note on interest? A. 1 year, 11 mo. 19 days. 23. A note, dated Nov. 15, 1820, was not paid till Dec. 1, how long was it at interest? A. 8 years, 0 mo. 16 days. to the year. 1828; INTEREST. 9 LXI. Q. If the interest of 100 dollars for 1 year is 6 dollars, what will be the interest of 200 for the same time? Of 300 ? Of 400? Of 600 ? Q. What will be the interest of 100 for 2 years ? For 4 years ? For 10 years? Q. What is that which is paid for the use of money called ? A. Interest is an allowanoe made by the borrower to the lender for the use of money. Q. What is that which is paid for the use of 100 for 1 year called ! A. Because per cent., or per centum, means, by the 100. Q. How, then, is interest computed ? A. At so many dollars for each 100 dollars, so many cents for each 100 cents, so many pounds for each 100 pounds, &c. for 1 year. Q. How is it computed on a greater or less sum than 100, or a longer or shorter time than 1 year ? A. In the same proportion. Q. What is the meaning of per annum ? A. Each year, or by the year. Q. What, then, is the meaning of 6 per cent. per annum ? A. 6 dollars for the use of 100 dollars, 6 cents for 100 cents, &c., for 1 year. Q. When the rate per cent. is established by law, what is the interest called ? A. The legal, or lawful interest. Q. When there is no mention made of the rate per cent., what rate per cent. is understood ? A. The legal rate. Q. When the interest and principal are both added together, what is it called ? A. The amount. Since, at 6 per cent., the interest of 100 cents for 12 mo. is 6 cents, the in-' terest will always be à as many cents as there are months ; that is, įthe numher of months will express in cents the interest of $i for said mouils; thus, the interest of $1 for 12 months being 6 cents, 8 mo. will be 4 cents, for 4 is of 8 mo.; and in the same proportion for any length of timc. Now, as the interest of any sum over 1 dollar is proportionally more, as 5 dollars, for instance, the interest of which is 5 times as many cents as the interest of $1, and as cents are 100ths of a dollar, it follows, that multiplying any clenumination, as pounds, dollars, cents, &c., by the number of months, will give a product that will be the interest, either in cents or 100ths, which are easily brought into dollars, or whole numbers, by cutting off two figures in the product, (that is, dividing by 100.) Hence, to find the interest of any sum of dollars, pounds, shillings, or eagles, for one year or more, we have the following RULE. Q. How do you proceed ? X. Multiply by half the number of months, and cut off two figures at the right, (for dividing by 100.) Mental Exercises. 1. What is the interest of $8 for 4 months ? A. 16 cts. 2. What is the interest of $4 for 4 months? A. 8 cts. 3. What is the interest of $2 for 6 months ? A. 6 cts. 4. What is the interest of $20 for 2 months ? A. 20 cts. 5. What is the interest of $80 for 10 months ? A. $4,00. 6. What is the interest of $40 for 1 year, or 12 months ? A. $2,40. 7. What is the interest of $8 for 1 yr. 4 mo.? A. 64 cts. 8. What is the interest of $5 for 1 yr. 6 mo.? A. 45 cts. 9. What is the interest of $1 for 4 years ? A. 24 cts. 10. What is the interest of $8 for 2 mo.? A. 8 cts. What is the amount ? A. $8,08. 11. What is the interest of $6 for 1 yr.? A. 36 cts. What is the amount ? A. $6,36. 12. What is the interest of $1 for 4 years ? A. 24 cents. What is the amount? A. $1,24. 13. What is the interest of 100£. for 2 months ? A. 1£. What is the amount ? A. 101£. 14. What is the interest of 10£. for 1 yr. 8 mo.? A. 1£.. What is the amount ? A. 11£. 15. What is the interest of $2,50 for 2 mo.? A. 2 cts. 5 m. What is the amount? A. $2,525. 16. What is the interest of $6,50 for 2 mo.? A. 63 cts. What is the amount? A. $6,564. Exercises for the Slate. 1. What is the interest of $240,30 for 3 yrs. 4 mo.? 3 yrs. 4 mo.=40 mo. ; 2=20, half the number of months. OPERATION. In this example, as there are two places 240,30 for cents in tho multiplicand, there will be 20 two also in the product; then, cutting off two more figures, (for dividing by 100,) we have $48,06, Ans. $ 48,0600, Ans. 2. What is the interest of $400 for 2 yrs. 6 mo.? A. $60. 3. What is the amount of $500 for 4 yrs. A. $622,00. 4. What is the interest of $75 for 2 yrs. 6 mo.?-1125. Of $250 ?-3750. Of $800 ?-120. Of $95 ?-1425. Of $650 ?9750. A. $280,50. 5. What is the interest of $1500 for 4 mo.?-30. For 6 mo.?-45. For 10 mo.?-75. For 1 yr. 2 mo. ?-105. For |