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

Nonillions Oaillions Septillions Sextillions Quintillions 857342, 162486, 345986, 437916, 423147, Quadrillions Trillions Billions Millions

Units. 248016, 235421, 261734, 368149, 623137.

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 carrying 1 for every 10; and so proceed to the last column, and there set down the whole of said column.

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.

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 5 7 3 42, 162486, 34 5986, 4379 16, 4231 4 7, Quadrillions Trillions Billions Millions Units. 248016, 235421, 261734, 368 1 49, 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 one. Two hundred fifty-one thousand, six hundred. Eignt 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, ór Roman Numbers, thus : 1 2 3 4 5 6 7 8 9 10 20 30 I, 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

MDCCCX 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 ; and 8 make 14.

RULE,

A

as 6

RULE. Place units under units, tens under tëns, &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 sinure, and add the left to the next row of figures, which

carry: ing 1.for every 10; and so proceed to the last coluihin, and there set down the whole of said column.

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.

E X AMPLE S.
271684

716087 47862178
728316
283913

52137822
643868

56786

67856321 356132

43214

32143679 786418

89675 68576814 548679

71648

34231861

Application. Note. In this, and some fucceeding colle ions, the papi? may be di.

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

1. Add 5856, 38 40, 395, 265, 25, and three thousand, seven, hundred and eighty-four together. facit 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. ia bills and notes 861. and have in cash 4781. how much is the amount?

answer 24181. 4 Admi: 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 number 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 6850d. to two other sons cach 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, vīz No. 1, 2, eac! 307 yards ; No 3, 4, 5, each 407 yards ; No. 6, 77 8, each 228 yards ; No. 9, 10, each 300 yards; how many yards in the whole purchase ?

answer 3239 yards. 9 A

grocer bought 8 casks of indigo, viz. No. 1, 210lb. No. 2, 1961b. No. 3, 4, 5, each 205lb. No. 6, 1841b. No.7. 12511. No. 8, 12741b. how many lbs., in all? ans. 26041b. 1o A merchant bought bales of cloth, in four of which

7 were 52 pieces, which contained 1352 yards, the other 3 had 40 picces, and contained 1098 yards; how many pieces

, and yards were there? answer 92 pieces, 2450 yards.

li If from the creation to the flood be 1650 years, from that to the calling of Abraham 427, from that to the building of the temple 909, thence to the founding of Rome 266, froin that to the birth of Christ 752, and since to the pre

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. 396d. 226d. 327d. and the remainder to pay is 162d. what was the sum borrowed

sent year

18:2;