What do you call it? A. 8 units. Q. What do you call them both, and how are they read 4. 8 units and 2 tens read twenty-eight. Write at the left of the 28 the figure 8, (thus, 828.) Q. What do you call the three figures now, and how are they read? A. 8 units, 2 tens, and 8 hundreds, read eight hundred and twenty-eight. Write at the left of 828 the figure 1, (thus, 1828.) Q. What do you call the 4 figures now, and how read? A. 8 units, 2 tens, 8 hundreds, and 1 thousands, read one thousand eight hundred and twenty-eight. Q. We have now been combining, or placing figures together till we have obtained the number 1828, representing the number of years it is since Christ appeared on earth, to the present time. We might continue to put figures together in this way that would express higher numbers still, up to billions, &c. That you may be able to form some idea of the power of figures, let me tell you that there is not a billion of seconds in thirty thousand years; notwithstanding there are 60 seconds in every minute, 60 minutes in every hour, 24 hours in every day, and in a solar year, 365 days, 5 hours, 48 minutes, and about 48 seconds. Should we continue to go on as we began, in combining more figures still, it would be very inconvenient; to avoid this we have a rule by which we can read almost any number of figures, ever so large. What is this rule called. A. Numeration. Q. What is the reading, or expressing a number by figures as now shown, called? A. Notation or Numeration. RULE. I. From the above illustrations, how does it appear that you must begin to numerate? A. Begin at the right hand. II. At which hand would you begin to read? A. The left. III. What is the first figure at the right hand, or first pluce, called? . Units. What is the second figure, or second place, called? A. Tens What is the third place called? A. Hundreds. What is the fourth place called? A. Thousands. IV. In reading, what value do you give those figures which were called units in numerating? A. Units. V. What value do you give tens? A. Tens. VI. What value do you give hundreds, thousands, &c 4. Hundreds, thousands, &c. 1. Repeat the Numeration Table. NUMERATION TABLE. - Billions. Hundreds of Thous. of Mills. ∞∞ Tens of Thousands of Mills. Thousands of Millions. - Hundreds of Millions. Tens of Millions. Millions. Hundreds of Thousands. Tens of Thousands. Hundreds. Tens. 200 0 0, read-One billion. 0 0 3 0 0 0 0 0 0 0 0 0 0, read-Two hundred thous. mills. 0, read-Thirty thousand millions 4 0 0 0 0 0 0 0 0 0, read-Four thousand millions. 5000000 0, read-Five hundred millions. 6 0 0 0 0 0 0 0, read-Sixty millions. 7 0 0 0 0 0 0, read-Seven millions. 800000, read-Eight hundred thousand. 9 0 0 0 0, read-Ninety thousand. 1 0 0 0, read-One thousand. 200, read-Two hundred. 3 0, read-Thirty. 4, read-Four. Questions on the Table. Here let the teacher cover over the written numbers only on the right of the table above, and ask the pupil the following questions, viz. What is the value of 4? Of 3 and one cipher? Of 2 and 2 ciphers? and so on, up to the top of the table." Q. What is the meaning of annex? A. To place after. Q. What is the meaning of prefix? A. To place before. Note. Let the scholar write down in figures, the answers to the following Questions on his slate at recitation. Q. How much does 1, with 1 cipher annexed, stand for? A. Ten. Q. Why? A. Because the 1 is tens when I numerate. Numerate the 10 and see. Q. What does 1 with 3 ciphers stand for? A. One thousand Q. Why? A. Because when I numerate by saying units, tens, hundreds, thousands, the 1 comes thousands. Q. What does 5 with five ciphers stand for? A. Five hor dred thousand. Why? A. Because when I numerate, the 5 comes hundreds of thousands. Numerate and see. Q. What does 8 with 6 ciphers stand for? A. 8 millions. Q. Why? A. In numerating, the 8 comes millions. Numerate and see. Q. How do you read the figures 624? A. Six hundred and 1wenty-four. Q. Why do you say 6 hundred ? Q. What does 6278 stand for? A. Six thousand two hundred and seventy-eight. Q. How do you know that the 6 is 6 thousand? Q. How do you read the figures 56768? How do you read 27365? How do you read 654212? Express in words the following numbers. Note.—The pupil may learn the value of each succeeding number by a for mer one. 623029 =Six hundred twenty-three thousand and twenty928028 6000066 Six millions and sixty-six. 8000099 75000100 Seventy-five millions and one hundred. 83000800 Express in figures the following numbers. Sixty-One hundred and twenty-five. Three thousand three hundred and thirty-three. Three millions, three hundred thirty-three thousand, three hundred and thirty-three. Thirty millions. Three hundred millions and twenty-five. Repeat the following Numeration Table, and the corresponding value of the figures prefixed. SIMPLE ADDITION. VII. 1. You bought an orange for 9 cents, and a melon for 15 cents; what did you pay for both? 2. James bought a top for 6 cents, a knife for 12 cents, and an inkstand for 8 cents; how much did they all come to? 3. Harry and James lost some money; James lost 20 cents, and Harry 12; how much did both lose? 4. A boy laid out 10 cents in marbles, 8 cents in quills, and 6 cents for a slate-pencil; how much did he lay out in all? 5. You give 40 cents for a Practical Arithmetic, 8 cents for a ruler, 9 cents for an inkstand, and lose 6 cents; how much money has gone from you? 6. A man gave his children money in the following manner; to his oldest 3 dollars, to James 5 dollars, to Thoinas 9 dollars, and to his two daughters, 4 dollars apiece; how much did he give away? 7. A boy bought 20 marbles for 20 cents, 6 peaches for 8 cents, and 3 apples for 2 cents; how much money did he lay out? 8. A man bought a cart for 6 dollars, a plough for 2 dollars, a pair of steers for 9 dollars, and 2 acres of land for 8 dollars; how much did he lay out in all? 9. How old would you be, were your age double what it now is? 10 If you had three times as many fingers and thumbs as you have now, how many would you have in all? 11. Ilow many quarters to an apple, or any thing? 12. How many thirds to an apple, or any thing? 13. If an apple, a number, or any thing, is divided into 4 equal parts, what would one of those parts be called? A. One quarter, or 1. 14. In the above, if divided into 3 equal parts, what would one part be called? 15. If an apple, or any thing, is divided into 5 equal parts, what would one part be called? A. One fifth, or . 16. What would 2 parts be called? A. Two fifths, or . 17. What would 4 parts be called? 18. How many parts does it take to make 5 fifths? A. 5. 19. How many parts does it take to make the whole? A. 5. 20. Why is the whole? A. Because the whole of the apple was divided into 5 equal parts. 21. If of an apple cost 2 cents, what will a whole apple cost? 22. If of an apple cost 1 cent, what will the whole cost > Note A.-Of the two following tables, the first is to be added from left to right, thus, 1 and 2 are 3; then the next line, thus, 1 and 2 are 3, and 3 are 6; then the next line, thus, 1 and 2 are 3, and 3 are 6, and 4 are 10; and thus with all the lines. The second is to be added from left to right, in the same manner. The learner, in reciting either, is not to look on the book; the order of the figures being such as to render it unnecessary. 12 123 23. What is the sum of the following numbers? A. 3 2 2 2 2 2 2 2 2 2 2 2 2 A. 24 1234 12345 123456 1234567 12345678 123456789 1234567 8 9 10 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 A. 78 A. 45 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 A. 96 A. 108 A. 120 A. 132 24. If of an apple be worth 1 cent, how much is a whole apple worth? 25. If of a vessel be worth 1000 dollars, how much is the whole vessel worth? How much is worth? 26. If you give 300 dollars for of a house, how much is the whole house worth? How much is worth? 27. If of an apple cost 2 cents, what is the whole apple worth? |