Elementary arithmetic, with brief notices of its history... by Robert Potts.

18
12. Shew that any sum of shillings, pence, and farthings may be
converted into a decimal of a pound, correct to three places of decimals,
by writing 1 in the first place for every two shillings, 50 in the second
and third places for the odd shilling (if any), and 1 in the third place
for every farthing additional, adding 1 extra if the number of pence
exceeds sixpence. State the converse rule for turning the decimal of
a pound into shillings, pence, and farthings.
13. If a decimal coinage were adopted, and the tenth, hundredth,
and thousandth parts of a pound sterling called respectively florins,
cents, and mils; what sum would 4 florins, 7 cents, 5 mils represent?
XVI.
1. Find the sum of ~-1225, 1-225 crown, 12-25 shillings, 122-5
pence, in the decimal of a pound.
2. Add together ~'0125, -0125s., '0125d., and -0125 farthing.
3. Add together 12-125 pounds, 17-3025 shillings, and 9-75 pence,
and express the result in the decimal of ~10.
4. Find the values of '971875 of one pound, of one shilling, of one
penny, and of one farthing, and their sum.
5. Express the sum of ~5-125, 3-625s., 9-75d., and 3-375 farthings,
in the decimal of a crown.
6. Subtract 3- of five crowns from ~1-59375.
7. Which is the greater, -36 of a guinea or -36 of a pound?
8. Divide ~12 5s. 6d. by -000625.
9. Divide ~628125 by 2-778625 of 6s. 8d., and state the nature of
the quotient.
10. By what decimal of one farthing does '0009 of one shilling
exceed -00003 of one pound?
11. Shew that -025 of ~1 is double of -05 of ~1 5s.
XVII.
1. Determine the exact values of the following concrete repeating
decimals:~-0123; ~133; 68422; -2345 of ~6 17s. 6d.; -81074 of 7 -guineas; -378934 of a crown.
2. What decimal of ~20 12s. 6d. is ~7 17s. 6d.?
3. Find the exact sum of ~2-1563, 12'54s., and 9.3d.
4. What is the sum and difference of ~3'-42 and 2-172 guineas?
5. What is the difference of -1736 of ~1 lls. 6d. and -23i2 of a
guinea?
6. Subtract -- of a pound from - of a guinea, ardl express the
result as a decimal of a pound.
7. Multiply ~-1235 by 3.-2 and divide ~-1249 by 127s., and state
the nature of the results in each case.
8. Between what numbers of farthings does the value of ~15163
lie?