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SIMPLE SUBTRACTION Teacheth to take a less number from a greater of the same denomination, and thereby to shew the difference.

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SIMPLE MULTIPLICATION
Is a compendious way of adding numbers of the same name.
The number to be multiplied is called the multiplicand.
The number which multiplies is called the multiplier.
The number arising from the operation is called the product.

THE TAB L E.

1

2

1 2

2

14 | 16

| 18

I2

3 1 6 4 / 8

15 | 18

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10

6 12

3 | 4 | 5 | 6 | 7 1 81 9 10! 11 4 61 8 | 10 | 12

201 22 9

21 24 27 30 33 16 | 20 | 24 | 28 | 32 36 | 40 44 5 15 / 20 25 | 30 | 35 | 40 45

501 55 18 | 24 | 30 | 36

42 | 48

54

60 66 71141 21 28 | 35 | 42 | 49 | 56 | 63 70 77 81161 241 32 | 40 | 48 | 56 164

88 9 | 18 | 27 | 36 | 45

54 | 63 | 72 | 81 99 99 10 | 20 1 3040 50 | 60 | 70 | 80 i 92

33 44 55. 66 | 77 | 83 | 99 110 | 121 24 361 48 / 60 72 84 196 | 108 120 | 132

24 36 48 60 72 84 96 103

72 / 80

100

110

120

II

22

132 141

12

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SIMPLE DIVISION Teacherh to find how often one number is contained in another of the same name.

The number given to be divided, is called the dividend.
The number by which to divide, is called the divisor.

The number of times the divisor is contained in the dividend is called the quotient. The remainder, if there be any, will be less than the divisor.

PROOF. Multiply the quotient by the divisor; to the product add the remainder, and the sum will be equal to the dividend, if the work be right.

EXAMPLES
Dividend
Divisor 2)694568946

3)2768954584

Rem. Quotient 347284473

922984861—1

3

Proof

694568946

2768954584

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IO

II

12

20

263439

Quotient.
4 Divide 8365462 by 6 Ans. 1494243
5

3728675 8 466084
6
4654682

9

517186
2768967

276896
8
1919952

177268
9
2968967

247413
10

5268794 11 29619145

40 740478 419825367

500 839650 13 296876234 64 4638691 14

47989536925 735 65291886 15

26574983184 8962 2965296 16

53479689236 7684 6959876 17 4917968967 2359

2084768 18

325867568967435 48323

Rem. and

4 3 8 7 4 11 14 25 367

IO 715 432 2052 1255 14184

12

When the divisor is a compound number, that is, if any two figures, being multiplied together, will make that number, then divide the dividend by one of those figures, and the first quotient by the other figure, and it will then give the quotient required. -But as it sometimes happens that there is a remainder to each of the

quo. tients, and neither of them the true one, it may be found by this

Rule. Multiply the first divisor by the last remainder, and to the product add the first remainder, which will give the true one.

EXAMPLES.

Divide 296876234 by 64

8)296876234

8)37109529--2 Quotient 4638691 and 1x8+2=10 remaining.

Divide 8757635 by 28 Quotient 312772 and 19 rem.

Divide 18957492 by 42

451368 and 36 rem.

Divide 1571196 by 72 Quotient 21822 and 12 rem.

Divide 37510/49 by 96

39080 and 69 rem.

MISCELLANEOUS QUESTIONS.

Add 562163, 21964, 56321, 18536, 4340, 279, and 83 together.

Ant. 663686. 2. What number is it, which being added to 9709 will make it SI0901 ?

Ant. 101192 3: General WASHINGTON was born in the year 1732 ; how old was he in 1793 ?

Ans. 67 years. 4. Add up iwice 397, three times 794, four times 3 176, five times 15880, lix times 95280, and once 333040.

Ans. One million. 5. A cashier received, viz. Four hundred and nine dollars, twen. ty thousand and thirteen dollars, Eight thousand five hundred and ten dollars, Nine hundred and twenty-eight dollars ; of which he paid away Fifteen thousand fifteen hundred and fifteen dollars : What was the whole fum he received, and how much remains after deducting the payment ? Anf. He received 29860 dolls. and there remains

13345

dolls. 6. What is the product of 15927 multiplied by 4cog?

Anf. 63851343 7. 128 men have one half of a prize, worth 34560 dollars, to be equally divided between them : What is each man's part ?

Anf.
135

dollars. Prove this answer to be right. 8. Three merchants, A, B, and C, have a stock of 14876 dollars, of which A put in 4963 dollars, B 5198 dollars, and C the remainder : How much did C put in ? Ans. 4715 dollars.

TABLES OF MONEY, WEIGHTS, MEASURES, 83c.

Federal Money. 10 Mills

make 10 Cents 10 Dimes, or 100 Cents, 10 Dollars

1 Cent.
1 Dime.
1 Dollar.
1 Eagle.

ENGLISH MONEY,

make

4 Farthings
12 Pence
20 Shillings

I Penny.
1 Shilling
1 Pound.

1

40

PENCE TABLE. d.

d. 20 are

1 8 30

2 6 40

3 So

4 60

5 70

5 10 80

6 8 90

7

6 100

8

4 9 2

10 130

10 10 140

11 8 150

12 6 200

16 8

SHILLINGS TABLE.

£. $. 20 are 30

1 10

2 50

2 10 60

3

3
80
go

4
100

5
IIO
120
130

6
140

7
150
200

10

110 120

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TROY WEIGHT. 24 Grains

make

1 Pennyweight. 20 Pennyweights

I Ounce. 12 Ounces

1 Pound. Note. By this weight are weighed jewels, gold, silver, and liquors.

AVOIRDUPOIS WEIGHT. 16 Drams

make

1 Ounce, 16 Ounces

1 Pound. 28 Pounds

3 Quarter. 4 Quarters

i Hundred Weight. 20 Hundred Weight

1 Ton. Note. By this weight are weighed such commodities as are coarse and subject to waste, and all metals except gold and silver. One pound Avoirdupois is equal to 14 02. 11 pwt. and 151 grs. Troy.

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