When one or more ciphers stand on the right of the divisor.

RULE.

Omit them in the operation, cutting off from the right of the dividend as many figures, taking care to annex them to the remainder.

Note. When the divisor is 10 the quotient will be had by cutting off one figure from the right of the dividend, when the divisor is 100 cut off two figures, when it is 1000 cut off three figures, &c. When the figures cut off from the right of the dividend are digits, they are to be considered as so much of a remainder.

1. Several boys went to gather nuts, and collected 4275 : when they had divided them, each had 855; how many

boys were in company?

Ans. 5.

Ans. 74.

2. If 2072 apple trees were planted in 28 rows, how many would there be in each row? 3. If 45000 dollars were divided many would each one receive?

among 75 persons, how

Ans. 600.

4. Into how many parts must I divide the number 8164, so that each part may be 27, leaving the remainder 10?

Ans. 302.

5. There is a certain number, to the double of which if you add 12, then 5 times that sum will equal 150; what is that number. Ans. 9.

6. A father dying, left 13440 dollars to be divided among his 6 sons in the following manner, viz. to the eldest onefourth part, to the second one-fifth, to the third one-sixth, to the fourth one-seventh, to the fifth one-eighth, and to the youngest the remainder; what was each son's share?

Ans. 1st 3360, 2d 2688, 3d 2240, 4th 1920, 5th 1680, 6th 1552 dolls.

7. What number, if multiplied by 72084, will make 5190048?

Ans. 72.

8. A, B, and C, engage to do a piece of work for 228 dolls. which together they accomplish in 40 days: now it was previously agreed that A should have 10 cents per day more than B, and B 10 cents more than C; what was each man's share? Ans. A 80, B 76, C 72 dolls.

9. A man on counting his moncy, found he had an equal number of half eagles, (5 dollar pieces) half dollars, and quarter dollars, and that the whole amounted to 1437 dollars 50 cents; how many pieces of each kind had he?

Ans. 250 of each kind.

10. The crew of an armed ship, consisting of the captain, mate, and 40 men, took a prize worth 4550 dollars-now it was agreed that the captain should have 6 shares, the mate 4, and each seaman 1 share; what did each one receive? Ans. The capt. 546 dolls. the mate 364, and each seaman 91 dolls.

As but few examples are given under each of the foregoing rules, it is recommended that every teacher add as many similar ones, as may be found necessary to make the pupil well acquainted with their appli cation, and both expert and accurate in working such questions as properly belong to these rules. Every experienced teacher is well aware that until this knowledge is obtained by the scholar, every attempt at any thing farther is only a waste of time and money. When this knowledge is once acquired, the future progress of the scholar will

De pleasant and rapid. The teacher will then be justly rewarded for his labor and trouble in this part, by the approbation of parents, and the gratitude of his scholars, who will have acquired the necessary qualifi cations (accuracy and expertness) for the great variety of studies and avocations in future life, which require the aid of arithmetic and math. ematics.

PART II.

ARITHMETIC IN MIXED OR COMPOUND NUMBERS.

SECTION I.

FEDERAL MONEY

Is so called from its being the general currency established by the Federal, or United States' government, and is justly considered superior to every other kind of currency now in use for its simplicity and plainness.

From this table it will readily be seen, that addition, subtraction, multiplication, and division of federal money may be performed as if they were whole numbers. It will also be seen that to reduce any number of mills to cents, it is only necessary to point, or cut off the last figure, as 100 mills =10,0 cents; and cents in the same way to dimes, as 100 cents 10,0 dimes, and dimes to dollars, as 100 dimes=10,0 dollars, and dollars to eagles, as 100 dollars=10,0 eagles; and also that eagles may be brought to dolls. and dolls. to dimes, &c. by adding a cipher to each one, as 10 E.=100 dolls. 1000d.=10000c.-100000m.

=

In all calculations in federal money, according to common custom, it is usual to omit the names of eagles, dimes,

and mills, and only to reckon by dollars and cents; the eagles being considered as so many 10 dollars, the dimes as so many 10 cents, and the mills as fractional parts of the cent. Sce the following

TABLE.

34, 1 2

4 5 6, 25

8 2 6 4, 7 5

Dolls.

1,25 cents

34,12 and a fourth cents 456,25 and a half cents

8264,75 and three-fourth cents

Notc. 1. In addition, subtraction, multiplication, and division of federal money, if the sums are dollars only, the amount, remainder, product, or quotient, will be dollars; but when the sums consist of dollars and cents, or cents only, the two first right hand figures are cents, and all the rest are dollars.

2. When fractions of cents are used according to the above table, every four of them make one cent: in adding, or subtracting these, we carry one for every four; and in multiplying, the upper figure, called the numerator, is to be multiplied by the multiplier, and divided by the lower figure, called the denominator.

1. Add 25 eagles, 62 dollars, 8 dimes, 75 cents, and 5 mills.

Ans. 313d 55c 5m. 2. A person deposited at bank 1055 dollars in notes, 260 dollars in gold, 3650 dollars in silver, and 2,50 cents: how much is the amount? Ans. 4967d 50c. 3. Bought a barrel of sugar for 39 dollars 87 cents, a bag of coffee for 22 dollars 184 cents, and a pound of tea for 2 dollars 12 cents; how much do they all cost?

Ans. 64d 183c. 4. Bought goods to the amount of 645 dollars 95 cents, and paid at the time of purchase 350 dollars; how much remains to be paid? Ans. 295d 952.

5. A man lent his friend 1000 dollars, and received at sundry payments, first 160 dollars 25 cents, second 285 dollars 66 cents, third 300 dollars 284 cents; what remains yet to be paid? Ans. 253d 793c.

6. What is the product of 102 dollars 19 cents, multiplied by 120? Ans. 12262d 80c.

7. What will 16 barrels of flour amount to, at 4 dollars

50 cents per barrel?

Ans. 72d.

8. How much will 132 pieces of calico come to, at 17 dollars 37 cents a piece? Ans. 2293d 50c. 9. What is the quotient of 3022 dollars 50 cents, divided by 5? Ans. 1204d 50c.

10. A butcher bought 18 beef cattle for 252 dollars 90 cents; how much did he pay for each? Ans. 14d 05c. 11. Bought 45 yards of linen for 22 dollars 50 cents, what was the price of one yard? Ans. 50cts.