occupy, we express tens and units with hundreds, by writing, in place of the ciphers, the numbers representing the tens and units. To express one hundred fifty we write 1 hundred, 5 tens, and 0 units; thus, 150. To express seven hundred ninety-two, we write 7 hundreds, 9 tens, and 2 units; thus, The greatest number that can be expressed by three figures is 999. EXAMPLES FOR PRACTICE. 1. Write one hundred twenty-five. 3. Write seven hundred sixteen. 4. Express by figures nine hundred. 5. Express by figures two hundred ninety. 6. Write eight hundred nine. 7. Write five hundred five. 8. Write five hundred fifty-seven. 27. We express one thousand by writing the unit, 1, at the left hand of three ciphers, the number 10 at the left hand of two ciphers, or the number 100 at the left hand of one cipher; thus, 1000. In the same manner we write two thousand, three thousand, etc., to nine thousand; thus, One Two Three Four Five Six Seven Eight Nine thousand, thousand, thousand, thousand, thousand, thousand, thousand, thousand, thousand 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000. 28. When a number is expressed by four figures, the places, commencing at the right hand, are units, tens, hundreds, thousands. Use of the cipher, what? Greatest number that can be expressed by three figures? One thousand, how expressed? How many figures used? Names of each? To express hundreds, tens, and units with thousands, we write in each place the figure indicating the number we wish to express in that place. To write four thousand two hundred sixty-nine, we write 4 in the place of thousands, 2 in the place of hundreds, 6 in the place of tens, and 9 in the place of units; thus, The greatest number that can be expressed by four figures is 9999. EXAMPLES FOR PRACTICE. Express the following numbers by figures: 1. One thousand two hundred. 2. Five thousand one hundred sixty. 3. Three thousand seven hundred forty-one. 4. Eight thousand fifty-six. 5. Two thousand ninety. 6. Seven thousand nine. 7. One thousand one. 8. Nine thousand four hundred twenty-seven. 9. Four thousand thirty-five. 10. One thousand nine hundred four. Read the following numbers: 11. 76; 128; 405; 910; 116; 3416; 1025 12. 2100; 5047; 7009; 4670; 3997; 1001. 29. Next to thousands come tens of thousands, and next to these come hundreds of thousands, as tens and hundreds come in their order after units. Ten thousand is expressed by removing the unit, 1, one place to the left of the place Greatest number expressed by four figures? Tens of thousands, how expressed? Hundreds of thousands? of thousands, or by writing it at the left hand of four ciphers; thus, 10000; and one hundred thousand is expressed by removing the unit, 1, still one place further to the left, or by writing it at the left hand of five ciphers; thus, 100000. We can express thousands, tens of thousands, and hundreds of thousands in one number, in the same manner as we express units, tens, and hundreds in one number To express five hundred twenty-one thousand eight hundred three, we write 5 in the sixth place, counting from units, 2 in the fifth place, 1 in the fourth place, 8 in the third place, 0 in the second place (because there are no tens), and 3 in the place of units; thus, The greatest number that can be expressed by five figures is 9999; and by six figures, 999999. EXAMPLES FOR PRACTICE. Write the following numbers in figures: 1. Twenty thousand. 2. Forty-seven thousand. 3. Eighteen thousand one hundred. 4. Twelve thousand three hundred fifty. 5. Thirty-nine thousand five hundred twenty-two. 7. Eleven thousand twenty-four. 9. Sixty thousand six hundred. 10. Two hundred twenty thousand. 11. One hundred fifty-six thousand. 12. Eight hundred forty thousand three hundred. Greatest number expressed by five figures? Six figures? 13. Five hundred one thousand nine hundred sixty-four. 14. One hundred thousand one hundred. 15. Three hundred thirteen thousand three hundred thirteen. 16. Seven hundred eighteen thousand four. 17. One hundred thousand ten. Read the following numbers: 18. 19. 5006; 12304; 96071; 5470; 203410. 36741; 400560; 13061; 49000; 100010. 20. 200200; 75620; 90402; 218094; 100101. For convenience in reading large numbers, point them off, by commas, into periods of three figures each, counting from the right hand or unit figure. This pointing enables us to read the hundreds, tens, and units in each period with facility. 30. Next above hundreds of thousands we have, successively, units, tens, and hundreds of millions, and then follow units, tens, and hundreds of each higher name, as seen in the following : NUMBER. Hundreds. co Tens. Quadrillions. Units. Hundreds. Trillions. co Hundreds. Tens. Units. Billions. Hundreds. ✩ Hundreds. Tens. ∞ Units. Hundreds. → Tens. Units. Millions. Thousands. Units. 5 3 0, 0 4 5, 370, 0 3 6, 4 0 8, 0 6 0. The number is read 530 quadrillion, 45 trillion, 370 billion, 36 million, 403 thousand 60. How may figures be pointed off? One million, how expressed? Next period above millions, what? Give the name of each successive period. This is called the French method of pointing off the periods, and is the one in general use in this country. 31. Figures occupying different places in a number, as units, tens, hundreds, etc., are said to express different orders of units. and so on. Thus, 452 contains 4 units of the third order, 5 units of the second order, and 2 units of the first order. 1,030,600 contains 1 unit of the seventh order (millions), 3 units of the fifth order (tens of thousands), and 6 units of the third order (hundreds). EXAMPLES FOR PRACTICE. Write in figures, and read the following numbers: 1. One unit of the third order, four of the second. 2. Three units of the fifth order, two of the third, one of the first. 3. Eight units of the fourth order, five of the second. 4. Two units of the seventh order, nine of the sixth, four of the third, one of the second, seven of the first. 5. Three units of the sixth order, four of the second. 6. Nine units of the eighth order, six of the seventh, three of the fifth, seven of the fourth, nine of the first. 7. Four units of the tenth order, six of the eighth, four of the seventh, two of the sixth, one of the third, five of the second. 8. Eight units of the twelfth order, four of the cleventh, six of the tenth, nine of the seventh, three of the sixth, five of the fifth, two of the third, eight of the first. Units of different orders are what? |