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Q. What are the figures cut off ?
A. The remainder.
Q. What are the other figures ?
A. The quotient.

Exercises for the Slate.
1. A prize, valued at 25526 dollars, is to be equally divided
among 100 men; what will be each man's part?
OPERATION.

2. Divide 1786582 by 10000. A 255/26

178100;

3. Divide 87653428 by 10; by 100; 255 dollars.

by 1000 ; by 10000; by 100000 ; by

1000000. A. Remainder to each, , 387 428343, 3342 343 Quotients, total, 9739257.

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Í XX. WHEN THERE ARE CIPHERS AT THE RIGHT

HAND OF THE DIVISOR.

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1. Divide 4960

OPERATION.
dollars
among

0 ne f

80 8 times 10 are 810 ) 49610 men.

62 dollars. Q. In this example, we have a divisor, 80, which is a composite number; (thus, 8 times 10 are 80 ;) how, then, may we proceed to divide by 10, one of the component parts ?

A. By cutting off one place at the right hand of the dividend, as in 11 XIX.

Q. How do you obtain the 62?
A. By dividing the 496 by 8, as usual.

Rule. Q. As any number, which has a cipher or ciphers at the right, can be produced by two other numbers, one of which may be either 10, 100, 1000, &c., how, then, would you proceed to divide when there are ciphers at the right of the divisor ?

A. Cut them off, and the same number of figures from the right of the dividend.

Q. How do you divide the remaining figures of the dividend ?
A. As usual.

Q. What is to be done with the figures of the dividend which are cut off ?

A. Bring them down to the right hand of the remainder.

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Exercises for the Slate. 2. How many oxen, at 30 dollars a neaa, may be bought for 38040 dollars ? A. 1268. 3. Divide 783567 by 2100.

A. 2107 rem. 4. Divide 2082784895876 by 1200000.

A. 7988787 rem. 5. Divide 7942851265321 by 12500000. A.

y rem. S. Divide 18515952875 by 112000. A. 11o rem.

8:

1 2 6 5 3 2 1 T2500707

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Miscellaneous Questions on the foregoing.
Q. What is the sulject which you have now been attending to called?
A. Arithmetic.
Q. From what you have sioen of it, how would you define it?

Ă. It teaches the va-ious methods of computing by numbers.

Q. What rules have you now been through?

A. Notation or Numeration, A ddition, Subtraction, Multiplication, and Division.

Q. How many rules do these make ?
Q. What are these rules sometimes called ?
A. The fundamental rules of arithmetic.
Q. Why?

A. Because they are the foundation of all the other rules.

Q. To denote the operation of these different rules, we have certain characters; what is the name of these characters ?

A. Signs.

Q. What do two horizontal straig'lıt lines signify; thus, 100 cents = 1 dollar ?

A. Equal to; as, 100 cents 1 dollar, read, 100 cents are equal to 1 dollar.

Q. What does a horizontal line crossing a perpendicular tell you do ; thus, 6+10=16 ?

A. To add ; thus, 6+10=16, read, 6 and 10 are 16.

Q. What else does this sign denote?
A. A remainder after dividing.

Q. What does one horizontal straight line tell you to do; thas, 8-6=2?

1. 2

3. 6.

8.
9.

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A. To subtract; thus, 8—6= 2, read, 6 from 8 leaves 2.

Q. What do two lines, erossing each other in the form of the Roman letter X, tell you to do; thus, 6 X 8=48?

A. To multiply; thus, 6X8=48, read, 6 times 8 are 48.

Q. What does a horizontal line, with a dot above and below it, tell you to do; thus, 8-2=4?

A. To divide ; thus, 8:2= 4, read, 2 in 8, 4 times.

Q. By consulting I XVII. you will perceive that Division may be represented in a different manner; how is this done?

A. By writing the divisor under the dividend, with a line between them; thus, f = 2, read, 4 in 8, 2 times.

Q. What does signify, then? 2. signify? 36? 4*? 1889 W? 35?

Let me see you write down on the slate the signs of Addition, Subtraction, Multiplication, and Division.

Perform the following examples on the slate, as the

signs indicate.

1. 87834 +-284 +65 +32 +100=88315, Ans.
2. 876345723 - 267001345 - 609344378, Ans.
3. 692784578 X 27839421 = 19286721529249338, Ans.
4. 202884150; 4025=50406, Ans.
5. 2600-600=2000+ 1828=3828, Ans.
6. 3600 — 400=3200 X4=12800, Ans.
7.264886000 = 20000, Ans.
8. 1ge + 36 =18, Ans.
9.

199 +36 +1 +1 +=28, Ans. 10. What is the whole number of inhabitants in the world, there being, according to Hassel, in each grand division as follows;-in

Europe, one hundred and eighty millions ;
Asia, three hundred and eighty millions ;
Africa, ninety-nine millions;
America, twenty-one millions;
Australasia, &c. two millions ?

A. 682000000

11. What was the number of inhabitants in the following New England towns, in 1820, there being in Portland,

8,581 ;

Boston, 43,298;
Portsmouth, 7,327; Providence, 11,767;
Salem, 12,731 ;

New Haven, 8,327?

A. 92,031. 12. What was the number of inhabitants in the following towns, there being in

New York, 123,706; Norfolk, 8,478;
Philadelphia, 108,116; Richmond, 12,067 ;
Baltimore, 62,738;

Charleston, 24,780;
Washington,

13,247; Sayannah, 7,523;
Albany, 12,630; New Orleans, 27,176?

A. 400,461. 13. How many more inhabitants were there in New York than Philadelphia ? Philadelphia than Baltimore? Baltimore, than Boston Boston than New Orleans ? New Orleans than Charleston ? Charleston than Albany? Albany than Providence? Providence than New Haven? A. Total, 115,379.

14. At 73 cents a bushel, what will 42 bushels of salt cost? What will 800 bushels ? A. 61466 cents. 15. What will 2970 bushels ? What 8900 bushels ? A. 866510 cents.

16. James had 37 cents, William 10 times as many as James, Rufus 15 times as many as William, Thomas 26 times as many as Rufus, Harry 45 times as many as Thomas, and Stephen 24 umes as many as Harry; how many did they all have? A. 162487757.

17. There are 60 minutes in one hour; how many hours are there in 120 minutes ? In 4800 minutes ? A. 82 hours. 18. In 172800 minutes ? ln 1036800 minutes ? A. 20160 hours.

FEDERAL MONEY.

nake

sigo ct.

make

1 XXI. Repeat the

TABLE. 10 mills (n.)

1 cent. 10 cents.

1 dime 10 dimes

1 dollar 10 dollars

make

.

sigo di. vigns $. siga E.

1. At 10 mills a yard, how many cents will 4 yards of cloth cost? Will 6 yards ? 'Will 8?

make

1 eagle

2. How many mills are 2 cents? 3 cents ? 4 cents ? 5 cents ? 8 cents ? 12 cents ?

3. How many cents are 2 dimes? 5 dimes? 6 dimes ? 7 dimes ? 11 dimes ?

4. How many dimes are 2 dollars? 5 dollars? 7 dollars? 10 dollars ? 12 dollars ?

5. How many eagles are 20 dollars? 30 dollars? 40 dollars ? 60 dollars ? 80 dollars? 100 dollars ? 120 dollars ? Q. How many cents are 41 pence?

A. 64. Q. How many cents are 9 pence?

A. 123. Q. How many cents are 18 pence, or of a dollar?

A. 25. Q. How many cents is } of a dollar?

A. 50. Q. How many cents is of a dollar ?

A. 75. Q. How many cents is one dollar?

A. 100. Q. How many cents is a pistareen?

A. 20. Q. How many cents is half a pistareen? A. 10. Q. How many 9 pences in a dollar?

A. 8. Q. How many 4 pence-halfpennies in a dollar ? A. 16.

6. You buy 4 yards of cloth for $1, and give the shopkeeper two fifty-cent bits; how much change must he give you?

7. You buy some calico to the amount of 17 cents, and give the clerk a pistareen; how much change must he give you?

8. You give a pistareen for 1 fish; how many cents must you give for 2? For 3? For 5? For7? For 9? For 12?

9. What will 2 yards of ribbon come to in cents, at 45 pence a yard? At 9 pence? At of a dollar? Ati a dollar? At of a dollar?

Q. What is the coin of the United States called ?
A. Federal Money.
Q. When established ?
A. A. D. 1786.
Q. By what authority ?
A. Congress.
Q. Which is the money unit?
A. Dollars.
Q. What place do dollars occupy, then ?
A. The place of units.
Q. How are dollars distinguished from dimes, cents, and mills ?

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