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TABLE.

Millions,
Tens,
C. of Millions,
X. of Millions,
Units,
C. of Thousands,
Hundreds,
X. of Thousands,
Thousands,

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1 1 -One
I 2 1 -Twenty-one.

3 2 1 -Three hundred twenty-one.

4 3 2 1 -Four thousand 321.
1 5 4 3 2 1 -Fifty-four thousand 321.

6 5 4 3 2 1 -654 thousand 321.

7 6 5 4 3 2 1-7 million 654 thousand 321. 18 7 6 5 4 3 2 1 -87 million 654 thousand 321. 9 8 7 6 5 4 3 2 1 -987 million 654 thousand 321. 1 2 3 4 5 6 7 8 9 -123 million 456 thousand 789.* 9 8 7 6 5 4 3 4 8 -987 million 654 thousand 348.

To know the value of any number of figures: RULE.-1. Numerate from tho right to the left hand, each figure in its proper place, by saying, units, tens, hundreds, &c. as in the Numeration Table.

2. To the simple value of each figure, join the name of its place, beginning at the left hand, and reading to the right.

EXAMPLES. Read the following numbers. 365, Three hundred and sixty-five. 5461, Five thousand four hundred and sixty-one. 1234, One thousand two hundred and thirty-four. 54026, Fifty-four thousand and twenty-six. 123461, One hundred and twenty-three thousand four

hundred and sixty-one. 4666240, Four millions, six hundred and sixty-six thou

sand two hundred and forty. Note. For convenience ir eading large numbers, they may be divided into periods of three figures each, as follows:

987, Nine hundred and eighty-seven. 987 000, Nine hundred and eighty-seven thousand. 987 000 000, Nine hundred and eighty-seven million. 987 654 321, Nine hundred and eighty-seven million, six

hundred and fifty-four thousand, three hun. dred and twenty-one.

To write numbers. Rule.-Begin on the right hand, write units in the units place, tens in the tens place, hundreds in the hundreds place, and so on, towards the left hand, writing each figure according to its proper value in numeration ; taking care to supply those places of the natural order with ciphers which are omitted in the question,

EXAMPLES.

Write down in proper figures the following numbers :
Thirty-six.
Two hundred and seventy-nine.
Thirty-seven thousand, five hundred and fourteen.
Nine millions, seventy-two thousand and two hundred.
Eight hundred millions, forty-four thousand and fifty-five.

SIMPLE ADDITION. IS putting together several smaller numbers, of the same denomination, into one larger, equal to the whole or sum total; as 4 dollars and 6 dollars in one sum is 10 dollars.

Rule.-Having placed units under units, tens under tens, &c. draw a line underneath, and begin with the units ; after adding up every figure in that column, consider how many tens are contained in their sum ; set down the remainder under the units, and carry so many as you have tens, to the next column of tens; proceed in the same manner through every column or row, and set down the whole amount of the last row.

EXAMPLES.

(1.)

(2.)

(3.)

(4.)

O A Hundreds.

Thousands.
wo Hundreds.

coor C. of Thous.

X. of Thous.

Growo Hundreds.

Tens.

4 2 5 3 5 2 1 3 8 9

4 4 2 9 1 8 5 1 1 5 2 6 9 8

1° 5 6
0 4 3 2
9 4 7 8
1 6 6 6
7 4 2 2

5 5 2 6 2 1
3 4 6 97
4 1 3 3 3 9
3 2 1 0 1 2
8.7 6 5 4 3

Il

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(13.) 9 6 2 4 3 0 6 4 6 4 6 2 8 1 4 5 1

2 1 6 0 4 3 2 8 7 6 1 0 4 2 5

3 4 6 2 1 4 4 0 3 0 9

9 8 2 7

(14.)

2 5 900 3 4 0 0 4 5 5 4 0 4 4 3 3 37 0 5 5 3 2 6

4 0 5 2 1 7 4 4 0 6 4 7 6 2 6 9

2 0 6 8 5 9 1

,

OF To prove Addition, begin at the top of the sum, and reckon thc figures downwards in the same manner as they were added up

EXAMPLE.

Excess of 9's.

wards, and if it be right, this sum total will be equal to the first: Or cut off the upper line of figures, and find the amount of the rust; then if the amount and upper line, when added, be equal to the total, the work is supposed to be right.

2. There is another method of proof, as follows:

Reject or cast out the nines in each row or sum of figures, and set down the re 3 m 8 2 mainders, each directly even with the figures 57 6 6 in its row ; find the sum of these remain- 8 7 5 57 ders ;

then if the excess of nines in the sum found as before, is equal to the excess 18 3 0 3 of nines in the suin total, the work is supposed to be right.

15. Add 8635, 2194, 7421, 5063, 2196, and 1245, together.

Ans. 26754. 16. Find the sum of 3482, 783645, 318, 7530, and 6678045.

Ans. 10473020. 17. Find the sum total of 604, 4680, 98, 64, and 54.

Ans. Fifty-five hundred. 18. What is the sum total of 24674, 16742, 34678, 10467, and 13439 ?

Ans. One hundred thousand.. 19. Add 1021, 3489, 28763, 289, and 6438, together.

Ans. Forty thousand. 20. What is the sum total of the following numbers, viz. 2340, 1066, 3700, and 4005 ?

Ans. 11111, 21. What is the sum total of the following numbers, viz, Nine hundred and forty-seven, Seven thousand six hundred and fire, Forty-five thousand six hundred, Three hundred and eleven thousand, Nine millions, and twenty-five, Fifty-two millions, and nine thousand ?

Answer, 6137417,

22. Required the sum of the following numbers, viz.

Five hundred and sixty-eight,
Eight thousand eight hundred and five,
Seventy-nine thousand six hundred,

Nine hundred and eleven thousand,
Nine millions and twenty-six.

Answer, 9999999

cargo worth ?

QUESTIONS. 1. What number of dollars are in six bags, containing each 37542 dollars ?

Ans. 225252. 2. If one quarter of a ship’s cargo be worth eleven thousand and ninety-nine dollars, how many dollars is the whole

Ans. 44396 dols. 3. Money was first made of gold and silver at Argos, eight hundred and ninety-four years before Christ ; how · long has money been in use at this date, 1814 ?

Ans. 2708 years. 4. The distance from Portland in the Province of Maine, to Boston, is 125 miles ; from Boston to New-Haven, 162 miles ; from thence to New-York, 88 ; from thence to Philadelphia, 95 ; from thence to Baltimore, 102 ; from thence to Charleston, South Carolina, 716; and from thence to Savannah, 119 miles-What is the whole distance from Portland to Savannah?

Ans. 1407 miles. 5. John, Thomas, and Harry, after counting their prize money, John had one thousand three hundred and seventyfive dollars; Thomas had just three times as many as John; and Harry had just as many as John and Thomas bothPray how many dollars had Harry? Ans. 5500 dollars.

FEDERAL MONEY. NEXT in point of simplicity, and the nearest allied to vyhole numbers, is the coin of the United States, or

FEDERAL MONEY. This is the most simple and easy of all money-it in. creases in a tenfold proportion, like whole numbers.

10 mills, (m.) make 1 cent, marked
10 cents,
1 dime,

d.
10 dimes,

1 dollar,
10 dollars,
I eagle,

E.

C.

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