1. LESSON 5. Copy the following numbers on your slate in words. 2,010 18. 10,000 19. 100,000 20. 1,000,000 21. 9,045,275 22. 6,004 23. 67,000,000 27. 901 When you write a number in figures that has no odd units, as one hundred and fifty, what do you put in the units' place? When there are no odd tens, as in one hundred and five, what do you put in the tens' place. When there are no odd hundreds, as in four thousand and forty, what do you put in the hundreds' place? When there are no odd thousands, as in forty thousand, five hundred and twelve, what do you put in the thousands' place? If O stands at the left of a figure, say of figure five; thus, 05, how many tens are there in these figures? How many units? Can the 0 be omitted, then, without changing the value of the number? If you put 0 at the right of figure five, thereby causing the 5 to stand in the tens' place; thus, 50, what do these figures now stand for? How many times 5 do they stand for? If you put 0 at the right of 50; thus, 500, what do these figures stand for? How many times 50 do they express? 0 Therefore, O placed at the left of a number, has no effect, and may be omitted; placed at the right of a number, it increases it ten times. What effect has 0 placed at the left of a number? Placed at the right of a number? LESSON 6. Copy the following numbers on your slate in figures, and divide them into parts so as to be easily read. 1. Six hundred and five. 2. Nine hundred and eighty-three. 3. Five thousand, four hundred and thirty-two. 4. Eight thousand, and ninety-five. 5. Forty thousand, and one. 6. Sixty-five thousand. 7. Eighty-one thousand, two hundred and twelve. 8. One hundred and twenty-five thousand, two hundred. 9. Four hundred and seventy-seven thousand, eight hundred. 10. One million. 11. One million, one thousand, five hundred. 12. Fourteen millions, seven hundred and five thousand, six hundred and forty-one. 13. Eighty-seven millions, two hundred and seventy-five thousand, one hundred and twelve. 14. Three hundred and thirty-three thousand, and three. 15. Nine hundred millions. 16. Two billions, seventeen millions, one thousand, and thirteen. 17. Twenty-five billions. 18. Four hundred and forty billions, three hundred and twenty-one thousand. 19. Eight trillions, two hundred thousand. 20. Five hundred and forty-seven trillions, three hundred and eleven millions, eight hundred and thirty-four thousand, two hundred and eighty-eight. 21. Two thousand, three hundred and four. 22. Fifty-five trillions, eight hundred and seven billions. 23. Six hundred trillions, four hundred and fourteen billions, and three. 24. Forty-five billions, three hundred and twenty-seven millions. 25. Ten thousand, and ten. 26. One hundred thousand, two hundred. 27. Forty-four thousand, four hundred and forty-four. 28. Five billions, and two. 29. Twenty-seven millions. 30. Four thousand, two hundred and twelve. LESSON 7. There is another kind of numbers which it will be well to understand. The following table explains these numbers, and their use. If you are making snow-balls, after you finish Three ... you finish ..the second .the third .the eleventh ...the twelfth .the thirteenth .the fourteenth .the fifteenth ...the sixteenth the seventeenth .the eighteenth .the nineteenth ...the twentieth .the twenty-first .the twenty-second ..the twenty-third the thirtieth the fortieth ...the fiftieth the sixtieth the seventieth ...the eightieth the ninetieth the one hundredth the one hundred and first If you are making snow-balls, after you finish one, will that be the first, second, or third, that you make? After you finish two, what will the last be? Three? Four? So proceed with questions through the other numbers. One hundred and two........the one hundred and second and twenty-six } the one hundred and third .the two hundredth .the three hundredth .the one thousandth ...the two thousandth ..the ten thousandth the ten thousand five hundred and twenty-sixth One hundred thousand.......the one hundred thousandth One million..... .the one millionth These numbers are called ordinal numbers; they are often employed in books and conversation, though not directly in any calculation. If you are in a class, standing on the floor, and the master counts the scholars in the class, beginning at the head, and you are counted nine, what will be your place in the class; the first, second, or what? What will your place in the class be if you are counted 5? 6? 10? 13? If the page in the book where you are reading, is marked 31, will that page be the first, second, or third, in the book? What page will it be? If the page is marked 52, what page of the book will it be? What if it is marked 45 28? 14? 12? 8? 2? 60? 78? 91 ? 101 ? 300 ? 500? 756? 1,000? A man counted out 10,000 dollars; what do you call the last dollar; the one hundredth, the one thousandth, or what? What do you call the last dollar after he has counted out 12,000 dollars? 13,571 ? 100,212 ? 625,471 ? 8,000,000? What are these numbers called, and how employed? ADDITION. LESSON 8. To be performed in the mind. Note. The learner may be taught to reckon with his fingers, or what is better, with twenty marks, arranged by five and tens on his slate; thus. 1. If you have 2 quills in one hand, and 3 in the other, how many have you in both hands? How many then are 2 and 3? How many are 3 and 2 ? 2. James has 4 cents in a box; if he puts 4 cents more into the box, what number will it then contain ? 3. A laborer worked for me 5 hours one day, and 3 hours the next; how long did he work for me in both days? 5 and 3 are how many then? 3 and 5? 4. 4 men engaged on a piece of work, were joined by 6 more; how many were engaged on it then? 5. I have 5 cents, and my brother has 8 cents; how many have we both? What number of cents have we both, if I have 8 cents, and my brother 5 cents? 6. There are 7 sheep in one part of a pasture, and 7 in another part; how many would there be if they were all together? What number then do 7 and 7 make? 7. A little girl bought a picture book for 8 cents, some paper for 3 cents, and a quill for 2 cents; how much must she pay for the whole ? 8. William had 9 apples, when he found 3 more; how many did he then have? 9. If you buy a barrel of flour for 6 dollars, and a plough for 9 dollars, how many dollars must you pay for both? 10. A farmer, after selling 10 pounds of butter to a man, had 5 pounds left; what quantity had he at first? What is the sum of 10 and 5 then? Of 5 and 10 ? |