Q. Why? A. Because, when I numerate, the 5 comes hundreds of thousands. Numerate and see. Q. What does 8 with 6 ciphers stand for? Q. Why? A. In numerating, the 8 comes millions. Numerate and see. Q. How do you read the figures 624? A. Six hundred and twenty-four. Q. What do the figures 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 the figures 27365? How do you read the figures 654212? Express in words the following numbers. Note The pupil may learn the value of each succeeding number by a former one. Express in figures the following numbers. Sixty. One hundred and twenty-five. Three thousand three hundred and thirty three. Three million, three hundred thirty-three thousand, three hundred and thirty-three. Thirty million. 'Three hundred million and twenty-five. Q. Will you repeat the following NUMERATION TABLE? Hundreds of quintiilions.* Hundreds of quadrillions. Tens of trillions. C TRILLIONS. Hundreds of billions. Tens of billions. Hundreds of millions. Tens of millions. O BILLIONS. & MILLIONS. Hundreds of thousands. Tens of thousands. THOUSANDS Hundreds. Tens. 5 5 5,5 5 5, 5 5 5, 5 5 5, 5 5 5, 5 5 5, 5 5 5. Q. Will you now repeat the combined value of each figure 5 which is prefixed to the foregoing Table ? A. Five hundred and fifty-five quintillion, five hundred and fifty-five quadrillion, five hundred and fifty-five trillion, five hundred and fifty-five billion, five hundred and fifty-five million, five hundred and fifty-five thousand, five hundred and fifty five SIMPLE ADDITION. ¶ VII. 1. You bougnt 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, ana 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 Thomas 9 dollars, and to his two daughters 4 dollars apiece; how much did he give away? * In like manner we may go from quintiliions to sextillions, septillions, octil lions, nonillions, decillions, undecillions, duodccillions, &c. 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 dolars, 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? 1 11. How 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 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 ure 6; then the next line, thus, 1 and 2 are 3, and 3 are 6, and 4 are ten; 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 23. What is the sum of the following numbers? 123 1234 24 A. 3 2 2 2 2 2 2 2 2 2 2 2 2 A. A. 60 6 6 6 6 6 6 6 6 6 6 6 6 A. 72 A. 6 12345 A. 10 123456 A. 21 1234567 A. 28 7 7 7 7 7 7 7 7 7 7 7 7 A. 84 8 8 8 8 8 8 8 8 8 8 8 8 A. 96 123456789 A. 45 999999999999 Ꭿ. 08 A. 120 A. 132 A. 144 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? 28. If of a factory be worth 2000 dollars, what is the whole worth? 29. 16 boys, throwing stones at an apple-tree, beat off a number of apples: says one boy, My part is, and I am entitled to one apple; how many apples is then? How many? How many? How many 18? How many 1? How many 18? 30. 16 men caught so many fish, that they could not count them; a bystander told one man that his part was 100, just Tof the whole; how many fish would be? How many How many 1 ? ? How many? How many 18? How many fish did they catch in all? 31. John was born twenty years after James; how old will James be when John is 21? 32. When Joseph was 21, he married a wife that was 10 years old when he was born; how old was the wife when Joseph married? 33. How many are 7 and 9? 47 and 9? 87 and 9? 37 After the manner of the last examples, the pupil should be taught to perform the following. Should he hesitate in any instance, as, for example, in adding 8 to 88, just say to him, 8 and 8 are 16, and he will soon see that 88 and 8 are 96, there being a 6 in both cases. By this means, if he can add any two numbers together, both under 10, he may be taught to add any number smaller than 10 to any number larger than 10. The following may be added by calling each finger a figure. Care should be exercised, lest the learner give the total amount from the book, without making the individual additions for himself. 34. Add 5 twos and 5 threes together:-thus, 2 and 2 are 4, and 2 are 6, and 2 are 8, and 2 are 10, and 3 are 13, and 3 are 16, and 3 are 19, and 3 are 22, and 3 are 25. 14. An older brother distributed 60 picture-books between his 6 younger brothers; how many did each have? How many times 6 in 60? Why? 15. 108 cents are to be equally divided between 9 children; how many will that be apiece? How many times 9 in 108? Why? 16. 132 bushels of corn are to be divida d'equally between 12 poor men; how many will, each man have? How many times 12 in 132? Why? 17. 12 men engage to do a piece of work for 144 dollars; what will be each man's part of the money? How many tines 12 in 144? Why? 18. Repeat the |