Page images
PDF
EPUB

.

Divisor, Div.Quotient. 95) 85595(901

61)286097469 756)863256(1172

472)251104(532 there remains 664 9. Divide 1893312 by 912.

Ans. 2076. 10. Divide 1893312 by 2076.

Ans. 912. 11. Divide 47254149 by 4674.

Ans. 10110567 12. What is the quotient of $50098048 divided by 4207

Ans. 78464. 13. What is the quotient of 761858465 divided by 8465 ?

Ans. 90001. 14. How often does 761858465 contain 9000i

Ans. 8465. 15. How many times 58475 can you have in 1191845-3?

Ans. S09733143 16 Divide 280208122081 by 912314.

Quctient s07140,70377.
MORE EXAMPLES FOR EXERCISE.
Divisor. Dividend.

Remainder.
234063)590624922(Quotient 83975
47614)327879186

9189 987654)988641654

...0

CASE II. When there are cyphers at the right hand of the divi. sor; cut off the cyphers in the divisor, and the same number of figures from the right hand of the dividend then divide the remaining ones as usual, and to the room mainder (if any) annex those figures cut off from the dict dend, and you will have the true remainder.

di.

en

EXAMPLES.

1. Divide 4673625 by 21400. 214(00)46756)25(218,442 true quotient by Restitution.

423..

[ocr errors]
[merged small][merged small][merged small][ocr errors][merged small]

Ans. 1318 000
Ans. 1,176ooo

2 Divide 579432675 by 6500 Ans. 5837427
3. Divide 421400000 by 49000. Ans. 8600
4. Divide 11659112 by 89000
5. Divide 9187642 by 9170000.

MORE EXAMPLES.
Divisor. Dividend.

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

376478 901000 6543472 307

)221250 720000)9876540001 )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 er 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 to the whole is finished.

[blocks in formation]

Contractions in Division. When the divisor is such a number, that

any

two fig. ures in the 'Table, being multiplied together will produce it, divide the given dividend by one of those figures; the

quotient thence arising by the other ; and the last quotient will be the answer.

Notr. The total remainder is found by multiplying the last remainder by the first divisor, and adding in the first remainder.

[blocks in formation]

22587

22588

03

first rem. + 2 True Quotient 22584/

True rem. 65 2. Divide 178464 by 16.

Ins. 11154 3. Divide 467412 by 24.

Ans. 1947511 4. Divide 942341 by 35.

Ars. 26924's 5. Divide 79638 by 36.

Ans. 221236 6. Divide 144872 by 48.

Ans. 5018 7. Divide 937387 by 54.

Ans. 175593 8. Divide 95975 by $4.

drs. 111841 9. Divide 145260 by 108.

Ans. 1845 10. Divide 1575560 by 144.

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

RULE. Cut off as many figures from the riglit hantl of the divi. dend as there are cyphers in the divisor, and these figures so cut off are the remainder; and the other tiguies of the dividend are the quotient.

EXAMPLES. 1. Divide 565 by 10. Ars, 36 and 5 remains 2. Divide 5762 by ivo. Ans. 57 3. Divide 703753 by 1000. Ans. 763 — 753 renu.

[ocr errors]

- E2 rein.

SUPPLEMENT TO MULTIPLICATION. To multiply by a mixt number ; that is a whole num berjoined with a fraction; as 84, 5, 61, &c.

RULE. Multiply by the whole number, and take ,, &c. of ***li iplicand, and add it to the predact.

EXAMPLES

Multiply 37 by 231.

2)37
234

Multiply 48 by 21.

48

181 111 74

24}
12
96

8694 Answer.

132 Ans. 3. Multiply 211 by 50%.

ons. 106554 4. Multiply 2464 by 87.

Ans 20333 5. Multiply S45 by 191.

Ans. 659 6. Multiply 6497 by 51.

Ans. 53413 Qurstions to E.cercise Multiplication and Division.

1. What will 94 tons of hay come to, at 14 dollars a ion ?

Ans. $1361. 2. If it takes 320 rods to make a mile, and every rod contains 54 yards; how many yards are there in a mile ?

Ans. 1760. 3. Sold a ship for 11516 dollars, and I owned if of her; what was iny part of the money? Ans. $8637.

4. In 276 barrels of raisins, each 31 cwt. how many hundred weight?

Ans. 966 cwt. 5. In 36 pieces of cloth, each piece containing 24} yards ; how inany yards in the whole ? Ans. 873 yds. 6. What is the product of 161 multiplied by itself?

Ans. 25921. 7. If a man spends 492 dollars a year, what is that per calendar month?

Ans. S11. 8. A privateer of 65 men took a prize, which being equally divided among them, amounted to 1191. per man; what is the value of the prize : Ans. £7735. 9 What number inultiplied by 9, will make 225 ?

Ans. 25. 10. The quotient of a certain number 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. 12. What cost 45 oxen, 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, inultiply it by twelve, divide the product by nine, and add 365 to the quotient, then froin that sum subtract five thousand five hundred and twenty-one, and the le mainder will be just 1000. Try it and see.

COMPOUND ADDITION,

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

ters, &c.

RULE.*

1. Place the numbers so that those of the same denomination

may stand directly under each other. 2. Add the first column or denomination together, as in' whole nuinbers; then divide the sum by as many of the saine denomination as make one of the next greater; setting down the remainder under the column addeil, and carry the quotient to the next superior ilenoinination, 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.

ܪ

* The reason of this rule is evident: For, aldition of this money, as I in the pence is equal to 4 in the farthings; 1 in the shilli:igs, to 12 in the pence; and 1 in the pounds, to 20 in the saillings ; therefore carrying as directed, is the arranging the money, arising from each column, properly in the scale of denominations, and this reasoning will hold good in the addition of comparind uumbers of any denomination wbatever.

« PreviousContinue »