## Arithmetic: As Taught in the Troy Episcopal Institute |

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### Common terms and phrases

acres amount annexed barrels bought bushels bushels of wheat carats cent Change ciphers column comparison compound fraction compound interest contain cord cost cube root currency to Federal decimal denominate fraction denoted dimes discount Divide both terms dividend division divisor dollars equal equivalent fractions Examples Explanation factor Federal money feet frac gallon given number higher denomination hours a day hundred Illustration improper fraction inches least common denominator lower denomination lowest expression man's share measure merator merchant miles millions minuend mixed number months multiplicand New-York currency Nonillions notation Octillions operation ounce pence pound principles pupil quantity quotient ratio remainder rods RULE Sextillions shillings single fraction sold square root subdivisions subtract subtrahend tained tenfold tens thousand tion units unity vulgar fraction weight whole numbers wine worth write the numbers write the point yards of cloth

### Popular passages

Page 192 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.

Page 192 - If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal ; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal ; and interest is...

Page 118 - Thirty days hath September, April. June, and November; All the rest have thirty.one, Save February, which alone Hath twenty.eight; and one day more We add to it one year in four.

Page 68 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 15 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...

Page 174 - If 60 gallons of water, in one hour, fall into a cistern containing 300 gallons, and by a pipe in the cistern 35 gallons run out in an hour; in what time will it be filled.! Ans. in 12 hours. 56. A and B depart from the same place and travel the same road ; but A goes 5 days before B, at the rate...

Page 69 - To reduce an improper fraction to a whole or mixed number. RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.

Page 199 - B. $380, to be paid as follows: $100 in 6 months, $120 in 7 months, and $160 in 10 months. What is the equated time for the payment of the whole ? Ans.

Page 208 - How much gold of 15, of 17, and of 22 carats fine, must be mixed with 5 oz. of 18 carats fine, so that the composition may be 20 carats fine ? Ans.

Page 182 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide, and 2 deep, in how many days, of 9 hours each, will 24 men dig a trench 420 yards long, 5 wide, and 3 deep ? Here the number of days, in which the proposed work can be done, depends on five circumstances, viz.