Short Division, although it is precisely the same in principle, as Long Division.

EXAMPLES.

2)67632

4)69876

6)97961

33816

4. Eight men found a purse of money containing two thousand dollars; what was each one's share?

5. Twelve acres of land cost 9652 dollars; how much was that per acre?

When there are ciphers at the right hand of the divisor, cut them off; likewise cut off the same number of figures from the right hand of the dividend, and proceed to divide in the usual

manner.

NOTE. The figures which are cut off from the dividend, must be placed at the right hand of the remainder.

3. A man bought two thousand acres of land for 13620 dollars; how much did it cost per acre ?

4. How much is the three thousandth part of of 68300000 dollars ?

of

H.

COMPOUND ADDITION.

What does Compound Addition teach?

In Compound Addition, how are the numbers placed which are to be added?

COMPOUND ADDITION teaches the method of adding together numbers composed of different denominations, as dollars, cents, and mills, or pounds, shillings, pence and farthings.

Rule.

The numbers to be added, must be placed under those of the same name or denomination; pounds must be placed under pounds, dollars under dollars,

For what num- shillings under shillings, &c. you and in all cases, carry for that number which it takes to make one of the next higher.

bers must carry?

What is the

method of proof.

ative value of the

The same method of proof is necessary as in Simple Ad

dition.

In Federal Money, the difWhat is the rel-ferent kinds of coin, with their coin in Federal relative value, are expressed as Money? in the following table.

NOTE 1. Although there are five denominations in Federal Money, yet three only will be made use of in this work, viz. dollars, cents, and mills.

NOTE 2. In all cases, when the number of cents is less than ten, the ten's place must be supplied with a cipher.

NOTE. As some questions hereafter subjoined might require more time than would always be convenient for the master to spend in ascertain ing whether the pupil had obtained the true answer, the Author has annexed the answer to all of the most important questions by a combination of numbers and characters, as explained on pages 84 and 85, which will relieve the master from this burden, and at the same time prevent the scholar from using (what is too often the case,) the answer, instead of his reason in solving the question.

Practical Questions in Federal Money.

1. A man bought a yoke of oxen for one hundred and two dollars; a horse for sixty-three dollars and forty-three cents; a sleigh for twenty-seven dollars and fifty cents, and two cows, for twenty dollars and five cents each; a chaise for 101 dollars and a half, and farming utensils, to three times the amount of the chaise.

was the whole value ?

What

$263×2+$113,03=Ans.

2. One man is worth one thousand eight hundred and thirty-six dollars, fifty cents, three mills. Another is worth four thousand, three hundred and twelve dollars, twenty-five cents, seven mills. Another is worth seven hundred and eighty dollars, twenty cents. Another is worth one hundred and eighty dollars, sixteen cents, five mills. What are they all worth ?

$7013+96,12,5 Ans.

3. A man has four notes, specifying the following sums, viz. Eighty-nine dollars, five cents. Sixty-five dollars, seven cents. Twenty-five dollars, ten cents. Four dollars, six cents. What is the sum of all the notes ? $160+$23,28=Ans.

4. A merchant bought a bale of cloth for one hundred and nine dollars, seventy-five cents. A quantity of salt for two hundred and fifty dollars eight cents. A quantity of sugar for ninety-five dollars, thirty-three cents, three mills. A cargo of tar for two thousand, five hundred and eleven dollars, fifty cents. A quantity of flour for two hundred and nine dollars, twenty-five cents, five mills. What did the whole cost?

$3170-6+$11,91,8-Ans.

LAWFUL MONEY.

The different denominations in Lawful Money are expressed as follows, viz.

marked.

4 farthings, marked qr. make 1 penny, d. 12 pence,

20 shillings,

1 shilling, s.

1 pound, £.

How are the different denominations in Lawful Money expressed?-How are farthings marked?-How are pence ?-How are shillings?. How are pounds?

How much does the 1st. number express?-How much the 2d?-the 3d?-the 4th ?-How much does the whole make when added together?

3. Suppose I owe to one man, sixteen pounds, three and four-pence, half penny. To another, twelve pounds, one and six-pence. To another, seven pounds, eight and two-pence, one farthing. To another, sixteen shillings and eight pence. What is the amount of all my debts?

£. £. S. 30+6 9

d.

8=Ans.