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89000

9170000

2. Divide 379432675 by 6500. Ans. 58374576
3. Divide 421400000 by 49000. Ans. 8600
4. Divide 11659112 by 89000 Ans. 131
5. Divide 9187642 by 9170000. Ans.

MORE EXAMPLES.
Krivisor. Dividend.

Remains.
125000)436250000(Quotient.) 0
120000) 149596478(

76478 901000)6543472300* 1221230 720000)987654000 )534000

CASE III. (Short Division is when the divisor does not exceed 12.

RULE. Consider how many times the divisor is contained in the first figure or figures of the dividend, put the resul. under, and

carry as

many tens to the next figure as tnere are ones over.

Divide every figure in the same manner tu tne whole is finishea.

EXAMPLES. Divisor. Dividend.

2) 113415 3)85494 4)39407 5)94379

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Contractions in Division. When the divisor is such a number, that any two fig. ures in the Table, being multipliers together will prucluce it, divide the gis en dividend by one of these figures; the quotient thence arising by the other; and the last

quo

be tient will be the ariswer.

Nork The total remander is found by multiriving the fast emainder by the best divisor, and aduing in the first remainder.

EXAMPLES.
Divide 162641 by 72.
Q1162641 or

8)162641

last rem. 7

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22587

2258_8

63

first rem. +2 True Quotient 2258145

True rein. 65 2. Divide 178464 by 16.

Ans. 11154 3. Divide 467412 by 24.

Ans. 1947514 4. Divide 942341 by 35.

Ans. 269243's 5. Divide 79638 by 36.

Ans. 2212 6. Divide 144872 by 48.

Ans. 30181 7. Divide 937387 by 54.

Ans. 17359 8. Divide 93975 by 84.

Ans. 111891 9. Divide 145260 by 108.

Ans. 1345 10. Divide 1575360 by 144.

Ans. 10940 2. To divide by 10, 100, 1000, &c.

RULE. Cut off as many figures from the right hand of the dividend as there are cyphers in the divisor, and these figures de,

so cut off are the remainder ; and the other figures of the dividend are the quotient.

EXAMPLES. 1. Divide $65

by 10.

Ans, 36 and 5. remains 2. Divide 5762 by luo. Ans. 57

62 rei. 3. Divide 763753 by 1000. Ans. 763 -753 remo

SUPPLEMENT TO MULTIPLICATION. To multiply by a mixt number; that is a whole num oer joined with a fraction, as 81, 5, 64, &c.

RULE, Multiply by the whole number, and take t, 5, 6, &c. of the Multiplicand, and add it to the product.

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869) Answer.

132 Aus, 3. Multiply 211 by 50%.

Ans. 10655, 4. Multiply 2464 by 8.

Ars 205331 5. Multiply 345 by 191.

Ans. 659 6. Multiply 6497 by 54.

Ins. 3341; Questions to Exercise Multiplication and Dirision.

1. What will 93 tons of hay come to, at 14 dollars a ton ?

Ans. $136). 2. If it takes $20 rods to make a mile, and every red contains 54 yards; how many yards are there in a mile?

Ans. 1760. 3. Sold a ship for 11516 dollars, and I owned of her; what was my part of the money?

Ans. 88637 4. In 276 barrels of raisins, each 3) cwt. how many hundred weight?

Ans. 966 cyt. 5. In 36 pieces of cloth, each piece containing 911 yards; how many yards in the whole . Ans. 873 vd 6. What is the product of 161 multiplied by itself?

Ans. 25981. 7. If a man spends 492 dollars a year, wliat is that

per calendar month?

Ans. S41. 8. A privateer of 65 men took a prize, which being equally divided among them, amounted to 1191. per man

. svhat is the value of the prize ?

fors 17735. 9 What nauber multiplied by 9, will make 225

Ans. 25. 10. The quotient of a certain nuniber is 457, and the divisor 8; what is the dividend :

Ans. 3656. 11. what cost 9 yds. of cloth, at 3s. per yard?

Ans. 27's.
Wha'

atsl. per head : Ans. £360.

13. What cost 144 lb. of Indigo, at 2 dols. 50 cts. or 250 cents per Ib.

Ans. $360. 14. Write down four thousand six hundred and seventeen, multiply it by twelve, divide the product by nine, and add 365 to the quotient, then from that sum subtract five thousand five hundred and twenty-one, and the remainder will be just 1000. Try it and see.

COMPOUND ADDITION,

Is the adding of several numbers together, having aufferent denominations, but of the same generic kind, as pounds, shillings and pence, &c. Tons, hundreds, quar

ters, &c.

RULE.

1. the numbers so that those of the same denominations may stand directly under each other.

2. Add the first column or denomination together, as in whole numbers ; then divide the sum by as many of the same denomination as make one of the next greater; setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition.

1. STERLING MONEY,

Is the money of account in Great-Britain, and is reckoned in Pounds, Shillings, Pence and Farthings. See the Pence 'Tables.

* The reason of this rule is evident: For, addition of this money, as 1 in the pence is equal to 4 in the farthings; 1 in the shillings, to 12 in the pence; and 1 in the pounds, to 20 in the snillings; therefore carrying as directed, is the arranging the money, arising from each column, properly ; the scale of denominations, and this reasoning will holdid

in the addition of compound numbers spany denom:-lioh

$. d.

EXAMPLES. What is the sum total of 471. 13s. 47 13 6 60.-191. 2s. 9fd.-141. 10s. 114d. 19 2 91 and 121. 9s. 1d. ?

Thus 14 10 11%

12 9 13

Answer, £. 93 16 43 (2)

(4) £ S.

S.
gr.

£. S.
17 13 11 84 17 5 3 30 11 4 2
13 10 2 75 13 4

15 10 9 1 10 17 3 50 17 8 2

1 0 1' 1 8 8 7 20 10 10 1 3 9 8

S 3 3 4

16 5 0 4 6 3 1

d. qT:

3

[graphic]

1

(5)

S. 47 17 6 2

3 9 10 3 59 17 11 2 317 16 9 3 762 19 10 1 407 17 6 2 1

9

(6)

s. d. gr. 7 17 10 3 60 6 8 0

7 14 11 2 18 19 9 3 91 15 8 2 18 17 10 3 5 0 1 2

(7)
s.
d.

gy 541 0 0 0 711 9 8 1 918 6 98 140 15 10 1 300 19 11 9 48 - 10 7S 0 14 9 3

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