Note to Teachers. Require the learners to copy upon their slates the following figures expressing numbers. Then require them to read from their slates the several numbers expressed.

Note to Teachers. The following numbers written in words, are to ce written upon the slate in figures. If the learner meet with difficulty in denoting the larger numbers, he may be instructed to repeat the Numeration Table, from units up to the highest denomination in the number to be denoted; and, while repeating the table, he may make a dot for each denomination, arranging the whole in a line. Then, the figure to express the highest denomination may be written under the left hand dot, and there will be no difficulty in a.raaging the figures of other denominations under their respective dots.

1. Seventy.

2. Forty-eight.

3. One hundred and twenty-four.

4. Six hundred and nine.

5. Three thousand, and six hundred.

6. Two thousand, four hundred and fifty. 7. Nineteen thousand, and sixty-eight.

8. Five thousand, seven hundred and thirty-one

9. Thirty-six thousand, seven hundred and forty. 10. Two hundred and sixty-eight thousand. 11. Nine hundred five thousand, and one hundred. 12. Eighteen thousand, seven hundred and thirty-five. 13 Seven hundred thousand and nine.

14. Thirteen million, sixteen thousand, and nineteen 15. One hundred five million, two thousand, and one. 16. Six billion, forty million, and six thousand. 17. Twenty-one billion, and one hundred million. 18. Five trillion, fourteen billion, seventy million, one thousand, two hundred and thirty-six.

19. One hundred twenty-two trillion, eight hundred and forty-seven thousand.

20. Ten billion, nine hundred eighty-seven thousand, seven hundred and thirty.

21. Seven hundred trillion, and thirty-six thousand. 22. Twelve billion, eight hundred forty-two thousand, seven hundred and eighty.

23. Twenty-nine trillion, eight hundred nine billion, one thousand, and eighteen.

24. Eight hundred twenty-three billion, ten million, eight thousand, and fifteen.

Questions to be answered Orally.

(1) What is a unit? (2) What is the greatest number, that can be expressed by one figure alone? (3) In what situation must the figure 9 stand, to express 9 tens? (4) What is the greatest number that can be expressed by two figures? (5) Recite the several denominations of numbers, from units to trillions, as they stand in the Numeration Table. (6) What denominations are expressed in the 1st. three places of figures? (7) What denominations are expressed in the 2nd. three places? (8) Where must the figure 7 stand to express 7 tens of thousands

that is, seventy thousand? (9) What denominations are expressed in the 3rd. three places? (10) Where must the figure 2 stand, to express two hundred thousand?

CHAP. II.

ADDITION.

SECTION 1.

1. What is the whole sum of 6312 dollars, S032 dollars, 501 dollars, and 7123 dollars?

Thousands
Hundreds
Tens

Units

6312

8032

501 7123

21968

We first write the numbers under one another, so that all the units may stand in a column on the right hand. We then add the units thus 3 and 1 are four, and 2 are six, and 2 are eight; and we write 8 - under the column of units. We next add the column of tens, and, finding their sum to be 6, we write 6 under the column. In the same manner we add the hundreds, and the thousands.

Find the sum of the numbers in each of the following examples, by addition upon the slate.

1. Add the following numbers into one sum. 4638 and 216 and 8329 and 1212.

Thousands
Hundreds

Hundre

Tens

Units

4638

216 8329 1212

14395

Finding the sum of the units to be 25, or 2 tens and 5 units, we write only the 5 units, and presently add the 2 tens in with the column of tens. In adding the hundreds, we find their sum to be 13. Now if we should write down 13, the 3 would stand under the column of hundreds, and the 1, under the column of thousands; therefore we write the 3 only, and presently add the 1 in with the thousands.

In the following examples, observe, that when the sum of any column amounts to more than 9, you must set down only the right hand figure of it, and, must add the left hand figure to the next column.

RULE FOR ADDITION.

Write the numbers, units under
Add each column separately,
When the sum of

units, tens under tens, &c.
beginning with the column of units.
any column is not more than 9, write it under the column.
when the sum is more than 9, write only the units' figure
under the column, and carry the number of tens to the
next column. Finally, write down the whole sum of the
left hand column.

6. Add together the numbers, 143 and 8 and 56 and 7. 7. Add together the numbers, 3 and 96 and 5 and 984. 8. What is the whole sum of 26, 9, 18, 153 and 728 ? 9. What is the whole sum of 8, 6, 42, 728 and 4105? 10. What is the whole sum of 44, 536, 827 and 3480 ? 11. What is the whole sum of 1118, 6004, and 84932? 12. What is the whole sum of 61297, 58 and 389163 ? 13. Find the sum of 423, 315, 531, 414, 612, 234, 621, 414, 711, 144, 621 and 918.

14. Find the sum of 314, 90, 246518, 7, 1101, 47, 3430, 8601520, 2004 and 5674.

15. Find the sum of 1728, 26510, 34, 100, 3261, 9, 245, 1640831, 6733 and 40000000.

16. A clerk received from one man 94 dollars, from another 361 dollars, and from another 113 dollars. What was the whole sum of money received?

17 A merchant sent to the bank at one time 301 dollars; at another 214; at another 1109; at another 109. How much did he send in all?

18. A certain lot of land has been divided into three farms; oe of the farms contains 112 acres, another 123 acres, and the other 147 acres. How many acres were there in the original lot?

19. If you start on a journey, and travel on Monday 42 miles, on Tuesday 57, on Wednesday 49, on Thursday 54, on Friday 63, and on Saturday 75, how far will you have travelled at the end of the week?

20. Suppose 477 dollars are in one bag, 8509 in another, 1965 in another, and 956 in another; what sum of money is there in the four bags ?

21. A merchant bought a quantity of sugar for 2075 dollars, and then sold it so as to gain 415 dollars. how much did he sell the sugar?

For

22. There are four numbers, the first of which is 532, the second 895, the third 240, and the fourth as much as the other three. What is the sum of them all?

23. A broker, by selling a note for 836 dollars, lost 140 dollars. What must he have paid for the note?

24. A capitalist gave to one of his sons, 13427 dollars; to another, 13025 dollars; to another, 12947 dollars. What did he give to all of them?

25. Sacred history shows, that the time, from the creation of the world to the Deluge, was thence to the building of Solomon's temple, thence to the birth of Christ, 1004 years. the world the present year?

1656 years, 1344 years, How old is

26. George Washington was born in the year 1732, and lived to be 67 years old. In what year did he die?

27. Three men united in trade;- the first man had 5136 dollars, the second had 1562 dollars, and the third had 756 dollars. How much had they all?

28. A trader bought four pieces of cloth: the first piece contained 86 yards; the second, 55 yards; the third, 87 yards and the fourth 91 yards. What was the cost of the whole, at 1 dollar per yard?

29. A gentleman purchased a farm for 8257 dollars, paid 953 dollars for having it fenced, and 300 dollars for having a barn built upon it. For how much must he sell it, in order to gain 100 dollars?