} 127394 31. One hundred and twenty-seven thousand three hundred and ninety-four 32. Four hundred and fifty-six thousand seven hundred and eighty-nine 33. Six hundred two thousand four hundred ? and nine 34. Five hundred and forty thousand eight hundred and five 35. Eight hundred thousand and eight 36. Three hundred thousand 37. Nine hundred thousand five hundred 38. Three millions one hundred and twentyseven thousand three hundred and ninety-four ( 39. Four millions four hundred and fifty-six thousand seven hundred and eighty-nine 40. Eighty millions forty thousand and sixty 41. Seven millions four hundred thousand 42. Nine millions 312739 43. What is 7 in the third place, and how expressed ? 45. What is 5 in the second place? NUMERATION. Is the right reading or reciting a number expressed by figures. Rule I. 1. To read any number not exceeding three figures, consider the value each figure receives from its place, and read each with the name of its place adjoined thus, read three in the second place, thirty; in the third place, three hundred; and seven in the second, seventy; in the third, seven hundred, &c. Hundreds 2. To read a number not exceeding six figures, or a * period. Separate by a comma the first members from the other figures, then read the second § member or a part of it, just as the first, or a part thereof; only call the second member thousands. 3 To read a number consisting of any number of figures whatsoever. Divide it into Periods by prefixing a point to every sixth figure; then read every period alike, subjoining to each the name of the place of its lowest figure, which may be known from the second table preceding. *A Period is every 6 figures in any number taken from units. A member is half a period, or 3 figures from units. 20. ADDITION is the joining or collecting several numbers into one, or finding a number which shall be equal to any given numbers altogether. GENERAL RULE. Let the numbers marked A B C, be given to be added. 54327 A 8062 B 5041 C 1. Place the numbers so that each figure may stand directly underneath (or in the same perpendicular row with) the figures of the same value, that is: units under units, tens 67430 under tens, hundreds under hundreds, &c. Then drawing a line under them; begin the Addition at the first place (or units) and add together all the figures in that place, and if their sum be under ten, set it down below the line underneath its own place; but if their sum be more than ten, set down only the overplus above the ten (or tens) and so many tens as the sum of these units amount to, carry to the place of tens, adding them and the figures which stand in the place of tens together; then proceed in the same manner to the third place, or hundreds, and so from place to place to the last, and set down the whole sum of the last place. Application Application. 8062 5041 67430 The marginal numbers being placed as before 54327 directed, I add together the first figures 1 and 2 (3) and 7 (10), and find their sum to be 10, I set down (0) the overplus above ten, and for the ten I add 1 with the figures of the next place, viz. 1 and 4 (5) and 6 (11) and 2 (13). Again, I set 3 the overplus above Ten, and add 1 for the (one) ten to the figures in the next place, viz. 1 and 3 is 4, which being under ten I set it down in the same place, and proceed in like manner to the last place, and the work is done.. TABLE of ADDITION. To be committed to memory by the learner, previous to his entering into the Rule. wanted the sum of 9 and 7, then I look for 9 on the head of the table, and in the same line with 7 on the side, stands 16, the sum, When the numbers to be added are many, the 7 4 3 0 following method may be practised: begin with 2 1 7 9. the lowest figure of units place (as before) and 5 0 8 7. joining it to the figures above it (as last Rute) 6 8 5 3 for every ten arising in the Addition, make a 2 4 6 4. point over against the figure which added to the 7 2 8 4 former maketh ten or more than ten, add the overplus above ten to the next figure above it, 31 3 0 6 and so proceed to the top; then count the points and: and how many they are, so many carry and add to the figures of the next place, and proceed in like manner thro' all the places, and the points of the last place collect, and set their number to the left-hand of the figure under the last place. This rule doth not differ essentially from the last, being only a contrivance to help the memory. Rule III. To prove Addition. 2179 5087 6853 Begin the Addition at the uppermost figure at the highest place, viz. next the left-hand, and add downward and place the lowest figure of the sum di- 7436 rectly under the added figures, and the other figures of the sum on the left-hand of it: then begin with the uppermost figure of the next lower place, and add downwards in like manner, and 2464 still place the lowest figure of the sum under the 7287 added figures as before (29); so we shall get as many sums as the numbers (or greatest number) 29 have places, and each one place nearer the right- 19 hand let those sums be added together (Rule 2,) and if their sum agree with the sum of the given numbers before found, the work may be presumed to be truly done. 37 36 81306 Questions and Practical Examples. 2. How are numbers to be placed, in order to be added? A. Units under units, tens under tens, &c. 2. How are numbers to be added? A. Begin at units place, and add the lowest figure in that place to that above it; then add their sum to the next figure in the same place, and so on to the top set down the overplus above ten or tens, and for every ten carry one to the next place, &c. [1] 256 [2] 2486 643 457 3255 7667 [3] 3946 [4] 4675 7998 |