APPENDIX I. A MULTIPLICATION TABLE UP TO 100 × 100. THE reader's attention has already been called to Crelle's Rechentafeln, a multiplication table up to 1000 x 1000. It saves much time, replaces mental work by finger and eye work, and decreases errors in calculation. Crelle's table, however, makes a book some 9 by 14 inches, weighing several pounds. The table that follows is a modification of Crelle's table, but runs only to 100 x 100. For work with these smaller numbers and for approximate calculations, it is more rapid than the longer table and is so arranged as to be easier for the eyes. Its uses will be apparent upon examination, but the reader should note that it serves for division as well as for multiplication. In dividing, one of course finds the divisor in the row of figures in heavy faced type at the top of the page, hunts for the dividend in the column beneath it, and, this being found, obtains the quotient in the figure in heavy-faced type at the side of the page. Thus to divide 684 by 38, one looks under 38, finds 684 and opposite it, at the side of the page, 18, the answer. Again to divide 1,600 by 38, one looks under 38, finds 1596 to be the nearest number, and so the nearest two-figure answer to be 42. If one needed greater precision, he could divide the remainder 4.0 by 38, getting 0.1, and then the remainder .2000, getting .0052, or 42.1052, and so on to any desired precision. 728 819 910 186 279 372 465 558 651 744 837 930 188 282 376 470 564 658 752 846 940 190 285 380 475 570 192 288 384 480 665 760 855 950 196 294 392 490 588 686 2 3 4 5 6 7 8 9 10 81 891 82 83 84 972 1053 1134 1215 1296 1377 1458 1539 1620 902 984 1066 1148 1230 1312 1394 1476 1558 1640 913 996 1079 1162 1245 1328 1411 1494 1577 1660 924 1008 1092 1176 1260 81 82 83 86 946 1032 1118 1204 87 88 89 90 1290 1344 1428 86 87 88 89 93 1001 1092 1183 1274 1365 1456 1547 1638 1729 1820 |