[Sidenote: 1000] And as in my lefte hand I expressed 10, so in my ryght hande must I expresse 1000. And so the fourme of euery tenthe in the lefte hande serueth to expresse lyke no{m}ber of thousa{n}des, [Sidenote: 4000] so y^e fourme of 40 standeth for 4000. [Sidenote: 8000] The fourme of 80 for 8000. [Sidenote: 9000] [*137a] And the fourme of 90 (whiche is the greatest) for 9000, and aboue that I can not expresse any nomber. _M._ No not with one fynger: how be it, w{i}t{h} dyuers fyngers you maye expresse 9999, and all at one tyme, and that lac keth but 1 of 10000. So that vnder 10000 you may by your fyngers ex- presse any summe. And this shal suf- fyce for Numeration on the fyngers. And as for Addition, Subtraction, Multiplicatio{n}, and Diuision (which yet were neuer taught by any man as farre as I do knowe) I wyll enstruct you after the treatyse of fractions. And now for this tyme fare well, and loke that you cease not to practyse that you haue lear ned. _S._ Syr, with moste harty mynde I thanke you, bothe for your good learnyng, {and} also your good cou{ns}el, which (god wyllyng) I truste to folow. Finis. FOOTNOTES (Accomptynge by counters _and_ The arte of nombrynge by the hande): [1: 1342 in original.] [2: 168 in original.] [3: Bracket ([) denotes new paragraph in original.] APPENDIX I. +A Treatise on the Numeration of Algorism.+ [_From a MS. of the 14th Century._] To alle suche even nombrys the most have cifrys as to ten. twenty. thirtty. an hundred. an thousand and suche other. but ye schal vnderstonde that a cifre tokeneth nothinge but he maketh other the more significatyf that comith after hym. Also ye schal vnderstonde that in nombrys composyt and in alle other nombrys that ben of diverse figurys ye schal begynne in the ritht syde and to rekene backwarde and so he schal be wryte as thus--1000. the sifre in the ritht side was first wryte and yit he tokeneth nothinge to the secunde no the thridde but thei maken that figure of 1 the more signyficatyf that comith after hem by as moche as he born oute of his first place where he schuld yf he stode ther tokene but one. And there he stondith nowe in the ferye place he tokeneth a thousand as by this rewle. In the first place he tokeneth but hymself. In the secunde place he tokeneth ten times hymself. In the thridde place he tokeneth an hundred tymes himself. In the ferye he tokeneth a thousand tymes himself. In the fyftye place he tokeneth ten thousand tymes himself. In the sexte place he tokeneth an hundred thousand tymes hymself. In the seveth place he tokeneth ten hundred thousand tymes hymself, &c. And ye schal vnderstond that this worde nombre is partyd into thre partyes. Somme is callyd nombre of digitys for alle ben digitys that ben withine ten as ix, viii, vii, vi, v, iv, iii, ii, i. Articules ben alle thei that mow be devyded into nombrys of ten as xx, xxx, xl, and suche other.