Zt ARITHMETIC. 



and farthings possess the second and third places -, observ- 

 ing to increase the second place by 5, if the shillings he 

 odd ; and the third place by i, when the farthings exceed 

 12 ; and by 2, when they exceed 37. 



fiXAMPLES. 



t. Find the decimal of 15s. S-^-^i. by inspection. 



7 ZZL—Of 14s. 



5 for the odd shilling. 

 34 zz farthings in S^d. 

 I for the excess above 12. 



•785 "zz decimal required. 



1. Find by inspection the decimal expression of i6s. 4-J^d. 

 and 13s. io|-d. Ans. '819 and '694. 



3. Value the follov/lng sums by inspection, and find their 

 total, viz. 19s. ii-^d. -)- 6s. 2d. 4" 12s. S-Jd. + ^s. lo-^d. 

 -}- -|d. + i^d. Ans. 2*043 the total. 



CASE 



consequently take the place of loths in the decimal ; but when 

 they are odd, their half will always consist of two figures, the 

 first of which will be half the even number, next less, and the 

 second a 5 ; and this confirms the rule as far as it respects 

 shillings. 



Again, farthings are so inany 96oths of a pound ; and had It 

 happened, that 1000, instead of 960, had made a pound, it is 

 plain any number of farthings would have made so many thou- 

 sandths, and might have taken their place in the decimal accord- 

 ingly. But 960, Increased by ^ part of itself, is = 1000 ; con- 

 sequently any number of farthings, increased by their ^V P^^t* will 

 be an exact decimal expression for them. Whence, if the num- 

 ber of farthings be more than 12, a ^"^ part is greater than 4-> and 

 therefore i must be added ; and when the number of farthings is 

 more than 37, a tV part is greater than i^-, for which 2 must be 

 added ; and thus the rule is shewn to be right. 



