When, the multiplier is such as in the preceding case, the result may be also found by dividing the given multiplier by 12, and, first multiplying by 12, and the product by the num ber of twelves in the multiplier, adding or subtracting the number of times the multiplier is greater or less than even twelves.

When the multiplier is 10, 100, or 1000, multiplication of £ s. d may be advantageously performed in one line, by conceiving the same number of ciphers annexed to each number of the multiplicand as are at the right-hand of the multiplier, adding for the odd farthings, if any, a proportional part of the multiplier, then, by dividing each number of the multiplicand, by the number which make one of the next higher denomination, setting down the remainders, and carrying or adding the quotients as before directed: thus, if the multiplier be 10, add in the pence for 1 farthing, in place of the cipher 24d, for 2 farthings 5d, and for 3 farthings 74d; if 100, add in the pence in place of two ciphers, for 1 farthing 25, for 2 farthings 50, and for 3 farthings 75; if 1000, add for 1 farthing 250, for 2 farthings 500, and for 3 farthings 750.

When the multiplier is large, by collecting the products arising from the multiplication by 10, 100, 1000, together with the odd parts, the result may be had as readily as by any other method.

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Though Compound Multiplication is seldom employed, except in relation to money, yet as it may be usefully applied in the solution of many examples in the Rule of Proportion, I have enlarged upon it, rather more than some may think necessary. Should the teacher find the examples here given, too many, it is left to his discretion to direct the number the pupil may omit.”