ELEMENTARY ARITHMETIC. CHAPTER I. INTEGERS. SECTION I. NOTATION AND NUMERATION. 1. In writing numbers, ten figures are used. They are0 1 2 3 4 5 6 7 8 9 called naught, one, two, three, four, five, six, seven, eight, nine. Naught, 0, is sometimes called zero, or a cipher. The other nine figures are sometimes called digits. In writing numbers greater than nine, two or more of these figures are taken together. Repeating or naming the numbers in order is called Counting; as, one, two, three, four, five, etc. Six 8 Twenty-one................ 36 9 Twenty-two........ 22 Thirty-five....... 10 Twenty-three...... 23 Thirty-six. 11 Twenty-four....... 24 Thirty-seven...... 37 12 Twenty-five........ 25 Thirty-eight....... 38 13 Twenty-six......... 26 Thirty-nine........ 39 19 Thirty-two.. 32 20 Thirty-three....... 33 21 Thirty-four. 34 35 Forty 40 Sixty-one. Forty-one......... 41 Sixty-two Forty-two Forty-four. 61 Eighty-one....... 81 62 Eighty-two....... 82 42 Sixty-three......... 63 Eighty-three..... 83 ... Forty-three.. 43 Sixty-four.... 64 Eighty-four...... 84 65 Eighty-five....... 85 66 Eighty-six....... 86 67 Eighty-seven.... 87 Forty-seven.... 47 Sixty-eight......... 68 Eighty-eight..... 88 Forty-eight. 48 Sixty-nine........ Forty-nine.. 49 Seventy Fifty Fifty-one. Fifty-two..... Fifty-three...... Fifty-four. Fifty-five....... Fifty-six...... 50 Seventy-one 71 Ninety-one....... 91 51 Seventy-two....... 72 Ninety-two....... 92 52 Seventy-three...... 73 Ninety-three..... 93 53 Seventy-four...... 74 Ninety-four...... 94 54 Seventy-five....... 75 Ninety-five....... 95 55 Seventy-six....... 76 Ninety-six........ 96 56 Seventy-seven..... 77 Ninety-seven.. 97 Fifty-seven.. 57 Seventy-eight...... 78 Ninety-eight..... 98 Fifty-eight. 58 Seventy-nine...... 79 Ninety-nine...... Fifty-nine... 59 Eighty.... Sixty....... 60 99 80 One hundred..... 100 EXERCISE IN COUNTING. 1. Count from 1 to 10. 2. Count from 10 to 30. 3. Count from 30 to 60. 4. Count from 60 to 100. With what figure does 17 begin? 18? 47? 46? 43? All the forties? All the sixties? All the eighties? 2. When we write numbers, ten ones are called a ten, which is written..... Two tens, or twenty, is written... One ten and one is called eleven, and is written... 11 One ten and three, or thirteen, EXERCISE. 66 17 39 33 39 39 39 66 པ༷ 66 66 39 66 66 39 ... 57 62 1. Write in figures thirteen, nineteen, fourteen, twentyfour, thirty-six, forty-three, fifty-two, sixty-one, seventyseven, eighty-five, ninety-eight. 2. Write in words 12, 18, 27, 32, 86, 72, 64, 92, 26, 75. 3. Write in figures seventeen, twenty-nine, thirty, forty-eight, sixty-five, eighty-one, forty-five, seventy-eight, eighty-three. 4. Write in words 39, 96, 62, 74, 87, 34, 72, 27, 98. 5. Write in figures thirty-one, twenty-three, fifty-eight, sixty, seventy-nine, forty-four, thirty-three. 6. Write in words 22, 54, 27, 99, 23, 26, 68, 98, 77. 3. Ten tens taken together are called a hundred. 4. When numbers are expressed by figures, the first place on the right is called ones or units; the second place, tens; the third place, hundreds. Thus, 326 is three hundreds, two tens and six ones, and is read three hundred and twenty-six. EXERCISE. 1. Write in figures one hundred and twenty-five, two hundred and seventy-three, three hundred and seventytwo, four hundred and twenty-six, eight hundred and ninety-three, three hundred and ninety-eight, nine hundred and eighty-three. 2. Write in words 126, 472, 264, 746, 827, 722, 468. 3. Write in figures eight hundred and twenty-one, three hundred and forty-three, nine hundred and seventy-four, two hundred and seventy-six, three hundred and forty-five, five hundred and forty-three, four hundred and thirtyfive. 4. Write in words 263, 348, 482, 576, 647, 446, 644. 5. Write in figures five hundred and forty-one, one hundred and fourteen, one hundred and nineteen, two hundred and one, seven hundred and twenty-three, eight hundred and four, six hundred and five. 6. Write in words 468, 144, 987, 207, 763, 875, 445. 7. Write in figures four hundred and fifty-two, eight hundred and thirteen, nine hundred and eleven, seven hundred and ninety-eight, two hundred and twenty-one, eight hundred and eighty-seven, four hundred and sixty. 8. Write in words 567, 348, 843, 654, 388, 777. 9. Write in figures seven hundred and twenty-six, three hundred and ninety-nine, eight hundred and seventy-two, three hundred and eighty-seven, six hundred and twentythree, seven hundred and eighty-nine, seven hundred and sixty-four. 10. Write in words 111, 406, 460, 723, 327, 273, 732. 5. Ten hundreds taken together are called a thousand. One thousand is written....... 1000 . 5000 Twenty hundreds, or two thousand, is written... 2000 66 ... 3000 ... 4000 ... ... 6000 ... 7000 ... 8000 6. When numbers of more than three figures are written, the fourth place to the right is called thousands. Thus, 6723 is read six thousand seven hundred and twenty-three. 7. The fifth place to the right is called ten-thousands. Thus, 86423 is 8 ten-thousands, 6 thousands, 4 hundreds, 2 tens and 3 ones, or eighty-six thousand four hundred and twenty-three. 8. The sixth place to the right is called hundred-thousands. Thus, 768357 is 7 hundred-thousands, 6 ten-thousands, 8 thousands, 3 hundreds, 5 tens and 7 ones, or seven |