Arithmetick: vulgar, decimal, instrumental, algebraical.: In four parts: conteining I Vulgar arithmetick, both in whole numbers and fractions, in a most plain and easie method. II Decimal arithmetick, with the ground and reason thereof, illustrated by divers examples. III Instrumental arithmetick, exactly performing all questions of what nature soever in a decimal way, by scales, with much more ease and facility then can be effected, either by vulgar or decimal arithmetick, the work of reduction being wholly avoided. Nothing in this kind having been hitherto published by any. IV Algebraical arithmetick, conteining an abridgement of the precepts of that art, and the use thereof, illustrated by examples and questions of divers kinds. Whereunto is added the construction and use of several tables of interest and annuities, weights and measures, both of our own and other countries. / By William Leybourn.

Subtraction of Decimals.

THe Subtraction of decimals differeth no∣thing from the subtracting of one whole number from another, and the decimal numbers to be subtracted one from ano∣ther, must be placed in the same order, as in Ad∣dition of decimal numbers, the practice of Sub∣taction shall be seen in the following Examples.

Example 1.

Let it be required to subtract 31 li. 16 s. 9 d. out of 36 li. 2 s. 8 d.

First, for your 36 li. 2 s. 8 d. set down the de∣cimal thereof, which is 36.1333.

Secondly, for your 31 li. 16 s. 9 d. set down the Decimal thereof 31.8375.

This done draw a line under them,

36,	1333
31,	8••75
4,	2958

& subtracting the lesser from the grea∣ter, you shall finde the remainer to be 4. 2958. the 4 on the left side of the Comma are four pounds, and the 2958 which standeth towards the right hand, is the fraction part of a pound, the value whereof being sought, will be found to be 5 s. and 11 pence▪ So that if you subtract 31 li. 16 s. 9 d. out of 36 li. 2 s. 8 d. there will remain 4 li. 5 s. 1•• d.

But if divers sums be to be subtracted out of one greater sum, then you must first adde all the several smaller sums together, and subtract the sum of them from the greater given sum, so shall the residue be the sum desired.

Examples for practice.

Example 1.

In Money.
Lent	2684.8375
Paid at several times	36.1333
	29.0083
	31.8375
	6.1208
paid in all	103.0999
rests to pay	2581.7376
2581 li. 14 s. 9 d.

Example 2.

		In Averdupois great weight.
Bought		103.7423
Sold		37.0442
Unsold		65.7981
65 C.	3 q.	5 l. 7. oun.

Example. 3.

	in Troy weight.
Delivered to a Goldsmith of old Plate	7. 97413
Received of new Plate	5.59670
Rests in the Goldsmiths hands	2.7743
2 li. 4 oun. 10 p w. 14 gr.