vide when there are ciphers at the right of the divisor? A. Cut them off, and the same number of figures from the right of the dividend. II. How do you divide the remaining figures of the dividend? A. As usual. III. What is to be done with the figures of the dividend which are cut off? A. Bring them down to the right hand of the remainder. Exercises for the Slate. 2. How many oxen, at 30 dollars a head, may be bought for 38040 dollars? A. 1268. 267 95876 3. Divide 783567 by 2100. A. 2 rem. 4. Divide 2082784895876 by 1200000. A. 860 rem. 5. Divide 7942851265321 by 12500000. A. 26532 rem. 6. Divide 18515952875 by 112000. A. To rem. 875 12 Miscellaneous Questions on the foregoing. Q. What is the subject which you have now been attending to called? A. Arithmetic. Q. From what you have seen of it, how would you define it? A. It teaches the various methods of computing by numbers. Q. What rules have you now been through? A. Notation or Numeration, Addition, Subtraction, Multiplication, and Division. Q. How many rules do these make? Q. What are these rules sometimes called? A. The fundamental rules of arithmetic. Q. Why? A. Because they are the foundation of all the other rules. Q. To denote the operation of these different rules, we have certain characters; what is the name of these characters ? A. Signs. Q. What do two horizontal straight lines signify; thus, 100 cents 1 dollar? A. Equal to: as, 100 cents = = 1 dollar, read, 100 cents are equal to 1 dollar. Q. What does a horizontal line crossing a perpendicular tell you to do; thus, 6+10=16? A. To add thus, 6+10=16, read, 6 and 10 are 16. Q. What else does this sign denote? A. A remainder after dividing. Q. What does one_horizontal straight line tell you to do thus, 8-6-2? A. To subtract: thus, 8-6-2, read, 6 from 8 leaves 2. Q What do two lines, crossing each other in the form of the Roman letter X, tell you to do; thus, 6×8-48? A. To multiply: thus, 6X8-48, read, 6 times 8 are 48. Q. What does a horizontal line, with a dot above and below it, tell you to do; thus, 8÷2—4? A. To divide; thus, 824, read, 2 in 8, 4 times. Q. By consulting XVII. you will perceive that division may be represented in a different manner; how is this done? A. By writing the divisor under the dividend, with a line between them; thus, -2, read, 4 in 8, 2 times. Q. What does signify, then? 2 signify? 36? 42?^ 188? 14? 35? Let me see you write down on the slate the signs of Addition, Subtraction, Multiplication, and Division. Perform the following examples on the slate, as the signs indicate. 1. 87834+284+65+32+100=88315, Ans. 2. 876345723-267001345-609344378, Ans. 3. 692784578×27839421=19286721529249338, Ans. 4. 2028841504025-50406, Ans. 5. 2600-600-2000+1828-3828, Ans. 6. 3600-400-3200×4-12800, Ans. 7. 260088890-20000, Ans. 8. 18836-18, Ans. 9 9. 188 +36 +1 4+15+20=28, Ans. 10. What is the whole number of inhabitants in the world, there being, according to Hassel, in each grand division as follows;-in Europe, one hundred and eighty millions; Asia, three hundred and eighty millions; America, twenty-one millions; A. 682000000. 11. What was the number of inhabitants in the following New England towns in 1820, there being in Portland, Portsmouth, Salem, 8,581 7,327; 12,731; Boston, 43,298; 11,767; 8,327 ? A. 92,031. 12. What was the number of inhabitants in the following towns, there being in New York, 123,706; 13. How many more inhabitants were there in New York than Philadelphia? Philadelphia than Baltimore? Baltimore than Boston? Boston than New Orleans? New Olreans than Charleston? Charleston than Albany? Albany than Providence? Providence than New Haven? A. Total, 115,379. 14. At 73 cents a bushel, what will 42 bushels of salt cost? What will 800 bushels? A. 61466 cents. 15. What will 2970 bushels? What 8900 bushels? A. 866510 cents. 16. James had 37 cents, William 10 times as many as James, Rufus 15 times as many as William, Thomas 26 times as many as Rufus, Harry 45 times as many as Thomas, and Stephen 24 times as many as Harry; how many did they all have? A. 162487757. 17. There are 60 minutes in one hour; how many hours are there in 120 minutes? In 4800 minutes? A. 82 hours. 18. In 172800 minutes? In 1036800 minutes? A. 20160 hours. 1. At 10 mills a yard, how many cents will 4 yards of cloth cost? Will 6 yards? Will 8? 2. How many mills are 2 cents? 3 cents? 4 cents? 5 cents? 8 cents? 12 cents? 3. How many cents are 2 dimes? 5 dimes? 6 dimes? 7 dimes? 11 dimes? 4. How many dimes are 2 dollars? 5 dollars? 7 dollars? 10 dollars? 12 dollars? 5. How many eagles are 20 dollars? 30 dollars? 40 dol lars? 60 dollars? 80 dollars? 100 dollars? Q. How many cents are 4 pence? 120 dollars? A. 12. Q. How many cents are 18 pence, or of a dollar? A. 25. Q. How many cents are 9 pence? Q. How many cents is of a dollar? Q. How many cents is of a dollar? Q. How many cents is one dollar? Q. How many cents is a pistareen? Q. How many 9 pences in a dollar? A. 50. A. 75. A. 100. A. 20. Q. How many cents is half a pistareen? How many 4 pence-halfpennies in a dollar? A. 10. Ꭿ. 8. A. 16. 6. You buy 4 yards of cloth for $1, and give the shopkeeper two fifty-cent bits; how much change must he give you? 7. You buy some calico to the amount of 17 cents, and give the clerk a pistareen; how much change must he give you? 8. You give a pistareen for 1 fish; how many cents must you give for 2? For 3? For 5? For 7? For 9? For 12? 9. What will 2 yards of ribbon come to in cents, at 4 pence a yard? At 9 pence? At of a dollar? At a dollar? At of a dollar? Q. What is the coin of the United States called? A. Federal Money. Q. When established? A. A. D. 1786. Q. By what authority? A. Congress. Q. Which is the money unit? A. Dollars. Q. What place do dollars occupy, then? A. The place of units. Q. How are dollars distinguished from dimes, cents, and mills? A. By a comma, or separatrix, at the right of dollars, Q. What are the figures on the left of dollars? A. Eagles. Q. What is the first figure on the right of dollars? A. Dimes. Q. What is the second figure? A. Cents. Q. What is the third figure? A. Mills. Q. How many of these coins are real? A. 4. Name them. 4. The eagle, the dollar, the dime, and the cent. Q. Which is a gold coin? A. The eagle. Q. Which are the silver coins? A. The dollar and the dimo. Q. Which is a copper coin? A. The cent. Q. Which is imaginary? A. The mill, as there is no pieco of money of that denomination* *There are, however, half eagles, and half dimes, real coins. Q. What are all the denominations of Federal Money? A, Mills, cents, dimes, dollars, and eagles. Q. How many of these denominations are used in accounts, and what are they? A. Three-dollars, cents, and mills. Q. What are dollars and eagles called in accounts? lars. Q. What are dimes and cents called? A. Cents. A. Dol Note. The names of coins less than a dollar express their value. Mill is contracted from Mille, the Latin for thousand; Cent from Centum, the Latin for hundred; and Dime from Disme, the French for tenth. Q. What does this character, $, placed before numbers, denote? A. Federal Money. Q. As 10 mills make 1 cent, 10 cents 1 dime, &c., increasing from right to left like whole numbers, it follows that any questionin Federal Money may be performed as in whole numbers; also that dollars, cents, and mills, may be called either all mills, For all cents and mills; thus, 4 dollars, 25 cents, and 5 mills, may be read, 4255 mills, or 425 cents and 5 mills; but, in order for this, it will sometimes be necessary to write ciphers between the different denominations: when, then, the cents are less than 10, where must a cipher be placed in writing cents with dollars? A. Between the cents and dollars. Q. Why is this? A. Because, as 100 cents make one dollar, cents, of course, occupy two places; hence, when the cents are less than 10, they must occupy the units' place of cents, and a cipher the tens' place of cents. Q. In writing down mills with dollars, when there are no cents, how many ciphers must you place between them and dollars? A. Two. Q. Why? A. Because, as there are two places for cents, when there are no cents, these places must be filled with ciphers. Q. How are 2 dollars and 5 mills written down, then? A. $2,005. Q. How are 3 dollars and 2 cents written down, then? A. $3,02. Q. How are 7 dollars and 8 mills written down? A. $ 7,008. Q. How are 9 dollars and 1 cent written down? A. $ 9,01. Q. How are 1 dollar, 1 cent and 1 mill written down? A. $1,011. C Q. How are 20 dollars and 50 cents written down? A. $ 20,50 |