The vvell spryng of sciences whiche teacheth the perfecte woorke and practise of arithmeticke, bothe in whole nombers and fractions, with suche easie and compendious instruction into the said arte, as hath not heretofore been by any sette out nor laboured. Beautified with moste necessary rules and questions, not onely profitable for marchauntes, but also for all artificers, as in the table doeth partlie appere: set forthe by Humfrey Baker citezeine of Lo[n]don.

Addition in whole nomber Chap. 2.

ADdicion is as muche as to bringe together twoo summes or more into one, as if there were due to anye man 223, li. by seme one body, and 334 .li. by another, and 431. by another, & you woulde knowe howe many pound is due to the same man in all, these iii. summee shall you set downe orderly the one vnder the other, writinge the greatest summe highest and the nexte to the greatest vnder it, and the least sum vnder the laste, in suche sorte that the firste fy∣gure of the one sūme by directly vnder the firste figure of the other, and the seconde vnder the seconde, an so furth in order, when you haue thus done drawe vnder them a straight line, & then wyll they stande thus. 〈 math 〉〈 math 〉

Nowe begynne alwayes at the fyrste places towarde yours ryghte hande, and put together

the .iii. firste figures of these .iii. sum∣mes, and looke what commeth of them, write that vnder thē beneath the lyne, as in say∣inge. 3. 4. and 1. beinge put together do make 8. write 8. vnder. 3. as thus. 〈 math 〉〈 math 〉

And then go to the se∣cond figures and doe like∣wise: as in sayinge. 2. 3. and 3. maketh 8. write 8. vn∣der. 2. as here you see. 〈 math 〉〈 math 〉

And lykewise doe wyth the fy∣gures that be in the thirde place, in sayinge. 2. 3. and 4. are. 9. put. 9. vnder them and so wyll your whole sum appeare thus: 〈 math 〉〈 math 〉 whereby you maye perceyue that those three summes beyng added together do make 988 li. and this is y^• art of ad∣dicion accordinge to his simplicitye, if the sum of anye place doe not excede a diget nomber. But in case the sum of anye one place can not be expressed

by one figure but by two you shal put the fyrste of those figures vnder the line, and kepe the other in your minde for to adde it vnto the firste figure of the nexte place. And if the same nexte place can not be aualued but by two fygures, you muste in lyke maner put the fyrste of those fygures vnder the lyne, and reserue the second for the other place nexte after, and thus must you do from one place to another vn∣tyll you haue come to the laste place, where in case you doe fynde that the summe be of twoo fygures, you muste set them both downe because it is the ende of that woorke, as in this example. 〈 math 〉〈 math 〉

where the firste figures are, 3. 1. 5. 6. whiche added togither maketh 15. and for that, that 15. is of twoo figures, I do put the firste fygure 5. vnder the line, and kepe the seconde fygure (which is. 〈◊〉〈◊〉) in my minde, the whiche I muste adde with the nexte fygures of the seconde place, that is to saye with 2. 9. 4. and. 5. the whiche togi∣ther make 21. I writte 1. vnder the line for the seconde fygure of that ad∣dition, that is to saye after. 5. & I kepe 2. to be added vnto the third place the whyche wyth the other fygures 1. 8. 3. 4. do make 18. therefore I put. 8. nexte after. 1. in the third place vnder the line, and kepe 1. to be added vn∣to the fygures of the fourth place, whiche is with 2. 7. 2. 2. the whiche with the 1. that I kepe doe make 14. I set downe 4. for the fourth fygure (vnder the line) that is to saye, after 8. and I kepe 1. to be added vnto the fygures of the fyfte place, the whiche is 7. 6. 3. 8. with the 1. that I kepe

maketh. 25. I put. in the fyfte place vnder the line nexte after, 4. and kepe 2. in mynde to be adoed wyth the fygures of the syxie place, that is with 6. 4. 9. 6. and that 2. whiche I kepe, maketh 27. I write downe 7. vnder the line in the syxte place, and I kepe 2. whiche I adde wyth the fygures in the seuenth place, and they make 13. I put downe 3. vnder the lyne in the seuenth place, and adde 1. vnto the fygures in the eyght place and they are 10. I doe put 0. vnder the lyne in the eyghte place, and then I adde 1. vnto the nynethe place, that is to saye with 4. 7. and they make 12. the whiche 12. I writte at length vnder the lyne bycause it is the ende of this addicion, and this is to be done of all suche lyke. And for the easyer vnderstandinge of that whiche we haue spoken of addition, you may e••amen these two other examples fo∣lowinge, in the whiche the fyrste hath these nombers. 3570. 2763. 579. 28.

whiche beinge added toghther doe make this nomber 6940, and in the seconde example dothe resolute this nomber 51683. by addynge toge∣ther of these nombers, 47630. 3756, 272, 25, as here vnder written. 〈 math 〉〈 math 〉