50 ARITHMETIC. 



COMPOUND MULTIPLICATIOR 



Compound MultipUcatiGti teacheth to find tlie amount of 

 any given number of diiFcrent denominations by repeating: 

 it any proposed number of timesr 



RULE.* 



r. Place the multiplier under the lowest denomination 

 ©f the multiplicand. 



2. Multiply the number of the lowest denomination by 

 the multiplier, and find how many ones of the next higher 

 denomination are contained in the product.. 



3. Write down the excess^ and carry the ones to the 

 product of the next higher denomination, with which pro- 

 ceed as before ; and so on, through all the denominations 

 to the highest, whose product, together v/ith the several 

 excesses, taken as one number, will be the whole amoui^ 

 required. 



The method of proof is the ssme as in simple multi- 

 plication. 



EXAMPLES- 



* The product of a number consisting of several parts, or de- 

 nominations, by any simple number v/hatever, v/ill evidently be 

 expressed by taking the product of that simple number and each 

 part by itself, as so many distinct questions : thus, 25I. 12s. (>&» 

 multiplied by 9 will be 225 1. 1 08s. 54d. = (by taking the shillings 

 from the pence, and the pounds from the shillings, and placing^^ 

 them in the shillings and pounds respectively) 230I. 12s. 66.. 

 which is the same as the rule j and this will be true,, when the 

 multiplicand is any compound number whatev-t;r^ 



