COMPOUND ADDITION.

COMPOUND ADDITION shows how to add or collect several numbers of different denominations into one sum.

RULE. Place the numbers so, that those of the same denomination may stand directly under each other, and draw a line below them. Add up the figures in the lowest denomination, and find, by Reduction, how many units, or ones, of the next higher denomination are contained in their sum.Set down the remainder below its proper column, and carry those units or ones to the next denomination, which add up in the same manner as before.-Proceed thus through all the denominations, to the highest, whose sum, together with the several remainders, will give the answer sought.

The method of proof is the same as in Simple Addition.

EXAM. 9. A nobleman, going out of town, is informed by his steward that his butcher's bill comes to 197/ 138 74d; his baker's to 591 58 23d; his brewer's to 85; hi- wine-merchant's to 103 138; to his corn-chandler is due 75/ 3d; to his tallow-chandler and cheesemonger, 27 158 111d; and to his tailor 551 38 54d; also for rent, servants' wages, and other charges, 127/ 38: Now, supposing he would take 100% with him to defray his charges on the road, for what sum must he send to his banker? Ans 830/ 148 61d.

10. The strength of a regiment of foot, of 10 companies, and the amount of their subsistence*, for a month of 30 days, according to the annexed Table, are required?

Subsistence Money, is the money paid to the soldiers weekly, which is short of their full pay, because their clothes, accoutrements, &c. are to be accounted for. It is likewise the money advanced to officers till their accounts are made up, which is commonly once a year, when they are paid their arrears. The following Table shows the full pay and subsistence of each rank on the English establish

COMPOUND SUBTRACTION.

COMPOUND SUBTRACTION shows how to find the difference between any two numbers of different denominations. To perform which, observe the following Rule:

* PLACE the less number below the greater, so that the parts of the same denomination may stand directly under each other; and draw a line below them.-Begin at the right-hand, and subtract each number or part in the lower line, from the one just above it, and set the remainder straight below it-But if any number in the lower line be greater than that above it, add as many to the upper number as make of the next higher denomination; then take the lower number from the upper one thus increased, and set down the remainder. Carry the unit borrowed to the next number in the lower line; after which subtract this number from the one above it, as before; and so proceed till the whole is finished. Then the several remainders, taken together, will be the whole difference sought.

The method of proof is the same as in Simple Subtraction.

5. What is the difference between 731 54d and 197 138 10d?

Ans. 53/ 6s 74d.

The reason of this Rule will easily appear from what has been said in Simple Subtraction; for the borrowing depends on the same principle, and is only different as the numbers to be subtracted are of different denominations.