MULTIPLICATION OF DECIMALS. 79 



EXAMPLES. 



(0 



214-8 r 

 4-90142 



209-90858 



t. From -9173 subtract -2133. Ans. -7035. 



3. From 2*73 subtract 1*9185. Ans. 0*8115. 



4. Yv'hat is the difTercnce between 91*713 Jind 407 ? 



Ans. 315*287. 

 $, What is the difference betvreen 16*37 and 800*135 ? 



Aus. 783*76^, 



MuLriPUCAtiGN of Decimals^ 



RULE.* 



t. Set down the factors under each Other, and multiply 

 them as in whole numbers. 



2. And from the product, toward the right hand, point 

 off as many figures for decimals, as there are decimal places 

 in both the factors. But if there be not so many figures 

 in the product as there' ought to be decimals, prefix the 

 proper number of cyphers to supply the defect. 



EXAMPLES, 



* To prove the truth of the rule, let '9776 and '823 be the 

 numbers to be multiplied ; now these are equivalent to, toV/o ^^^ 

 -rVVs- ; whence ^V^^/^Xt''^V=AW/^^o= '8045 648 by the na^ 

 tare of notation, and consisting of as many places, as there are 

 cypliers, that is, of as many places as are in both the Bumbsr^ ; 

 and the same is true of any two numbers whatever. 



