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Nine figures are sufficient to express any number in common practice : Nevertheless, the following table may be thought necessary.

Nonillions O&illions Septillions Sextillions Quintillions 8 573 4.2, 162486, 34 5986, 4379 16, 423147, Quadrillions Trillions Billions Millions Units. 248016, 235421, 261734, 368149, 6231 37.

EXAMPLES
In figures express the following numbers.
One hundred and six.
Five hundred and thirty-eight.
Six thousand and seventy-four.
Twelve thousand, five hundred and ten.
Forty-five thousand, six hundred and onc.
Two hundred fifty-one thousand, six hundred.
Eight million, one hundred forty-two thousand and six.
Sixty five million, one hundred four thousand and ninety,

Five hundred and two million, three hundred and four thousand.

Nine hundred forty-eight million, six hundred thirty-two thousand, sever hundred and fifty-one.

Numbers are also expressed by letters, and are called Numeral Letters, or Roman Numbers, thus : 1 2 3 4 5 6 7 8. 9 10 20

30 1, II, III, IV, V, VI, VII, VIII, IX, X, XX, XXX,

40 50 60 70 80 90 100 500 1000 XL, L, LX, LXX, LXXX, XC, C, D, M,

1810

MpСССх. A letter of less value, standing before one of greater, diminishes, but when placed after increases the value of the greater. Hence, by combining the above letters, other numbers are formed.

SIMPLE ADDITION.

DDITION of integers is the collecting of several

numbers, of like signification, into one sum ; as 6 and 8 make 14.

RULE,

A

RULE. Place units under units, tens under tens, &c. then begin at the right hand column and add upwards, set down the total, if less then 10; if 10 or more, the right hand figure, and add the left to the next row of figures, which carry. ing 1.for every 10; and so proceed to the last colunt, and there set down the whole of said columi.

PROOF. Perform the addition downward :-Or, Add the top line to the sum of all the rest ; and, if right, the total will be equal to the first.

EXAMPLE S.
271684

716087 47862178
728316
283913

52137822
643868

56786

67856321 356132

432 14

32143679 786418

89675

68576814 548679

71648

34231861

Total 3335097

67148914
32851086
47189613
52810387
37186819
62873181
71868716
68 189768
78964324
67487689
53746938
46957423

86714827 57682186

476829

276836 61783248

27864

4674 671218 4168276 67476368 78642476

608924

62187654

786418 646826 34708 41682 8328

848 4682

61783 27168271 47183

98

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Application. Note. Im this, and fome fucceeding colle ions the pupil may be di.

rected t write the question o his flate, with vacancies, in which the tutor may infert other numbers.

1. Add 5856, 3840, 395, 265, 25, and three thousand, seven, hundred and eighty-four together. Jacit 14165

ther;

2 A man was born in the year 1718, in what year will he be 99 years of age ?

answer in 1817 3. If a person have owing to him on bond, 8071. in book accounts 10471 in bills and notes 861. and have in cash 4781. how much is the amount?

answer 24181. 4 Admit a bond to be 4687 dols. interest due thereon 178. dols. what is the amount ?

answer 4865 dols. 5. Suppose 5784 dollars in one purse, 588 in another, 84 in a third, and seven hundred and seventy-nine in a fourth, what nụmber is there in them all ?

answer 7235 6 Admit a boy had 357 nuts given him at one time, 127 at another, 78 at another, 378 at another, 57 at anohow many had he in all

answer 997 . Suppose a person dying left his widow 3840d. to his eldest son 685od. to two other sons each 2584d. to each of his three daughters 1685d. and in other legacies 95cd. what is the sum of these bequests ?

answer 21863d. 8. A draper bought 10 bales of cloth, viz No. 1, 2, each 367 yards ; No 3, 4, 5, each 407 yards ; No. 6, 78, each 223 yards; No. 9, 10, each 300 yards ; how many yards in the whole purchase ?

answer 3239 yards. 9 d grocer bought 8 casks of indigo, viz. No. 1, 210lb. No. 2, 1961b. No. 3, 4, 5, each 205 lb. No. 6, 18416. No.7, 1251. No. 8, 127416. how many lbs., in all? ans. 26041b.

10 A merchant bought 7 bales of cloth, in four of which were 52 pieces, which contained 1352 yards, the other 3 had 40 pieces, and contained 1098 yards; how many pieces and yards were there? answer 92 pieces, 2450 yards.

I i If from the creation to the flood be 1650 years, from that to the calling of Abraham 427, from that to the build. ing of the temple 909, thence to the founding of Rome 266, froin that to the birth of Christ 752, and since to the precent year 18:2 ; how many years since the creation ?

answer 5816 12. How many strokes does a regular clock strike in a week?

answer 1092 13 There are two numbers, the less is 9876, and their difference twice as many; what is the greater ?

answer 29628 14 Borrowed a sum of money : paid at sundry times 89d. 1961. 226d. 327d. and the remainder to pay is 162d. what was the sum borrowed

answer 10ood.

SIMPLE SUBTRACTION,

T hend, from a greatere of the same denomination, termed

a less

a the minuend, and thereby to shew the difference.

RULE Put the less number under the greater, with units under anits, tens under tens, &c. then begin at the right hand, and take the lower figure from that above it; but if it be greater than that above, take it from io, and add the

upper - figure to the remainder, set down the result, and carry i to the next place ; and so proceed,

PROOF. Add the remainder to the less number, and the sum, if right, will be equal to the greater.

EX A M P L E S. From 4736985 97362 14 18340152 74614328 Take 1514863 4878946 9804075 70840679

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ansa

Application.
Borrowed rogol. and paid gogl. how much remains ?

answer 1811 2 A man was born in the year 1718, what is bis the year 1810?

3. A boy who had one thousand nuts sold 236, gave aw, sixty, and lost

437 ;
how
many

had he left? answer 2 4 There were 4 bags, containing ist. 34dols. 2d. godę 3d. roodol 4th. 15odols. but one of them being lost, o 234dols, remained'; which bag was lost? answer food. bao

5 Having a piece of grouud 172 feet long, andrested to A at one end 57 feet, and to B 42 feet at the other end ;; how much was left between them?

ons wer 73 feet. A

6 Bound

6 Bought of A two barrels of flour, each weighing 1751b. tare per barrel 15lb.-of B 3 ditto, each 183lb. tare per ditto 20b.-of C 4 ditto, each 1961b. tare per ditto 17?b. how many lbs. of Aour neat ?

answer 1525lbs. - 7 Suppose A had owing to him on bond 4781. and interest due thereon 98% and received at two payments each 1991. how much is unpaid ?

answer 1781 8 A vintner bought 20 pipes of brandy, containing 2459 gallons, and sold 14 pipes, containing 1682 gallons ; how masy pipes and gallons were left?

answer 6 pipes, 777 gallons. If the amount of a bond be 47col. and payments be made of 14781. 13151 826), and 628!. how much remains unpaid?

answer 449%.

SIMPLE MULTIPLICATION.
TS a concise

way of adding numbers of the same name. The number to be multiplied is called the multiplicand. The number to multiply by is called the multiplier.

The number arising from the operation is called the product. Note. The multiplier and multiplicand are also called factors, and the

product is sometimes terined, fact, or rectangle.

TABLE.

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I 2

1 1 2 3 4 51 61 71 81 9 10 11 12
21 41 61 8/10/121 14 16 18 20 22 i 24
31 61 9|12|15|18 12: 24 | 271 304 33 36
49.8112161 201 2+1 28 | 32 | 36 40 | 44 | 48
511011) 201 25 / 34 35|40| 45 501 551 60

11218 21 301*649 48 541 601 661 72 wees !

14121281551 452 191561 031 701 771 84 8; 10124.0 48 50161112801 881 96 diff 9/18/27, 36145 | 541631579 81 99 09:08

! 201501101110170801,90 100 110 120

1221 54 24 155 156177,83 9911 011211122 1217*150*48160172484196 | 108 132164

CASE

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