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

Ans. 26754. 8. Add 246034, 298765, 47321, 58653, 64218, 5376, 9821, and 340 together. Ans. 730528. 9. Add 27104, 32547, 10758, 6256, 704321, 730491, 2787316, and 2749104 together. Ans., 7047897. 10. Add 1, 37, 29504, 6790312, 18757421, and 265 together. Ans. 25577540. 11. Add 562163, 21964, 56321, 18536, 4340, 279, and 83 together. Ans. 663686.

12. What is the sum of the following numbers: viz., Seventy-five; one thousand and ninety-five; six thousand four hundred and thirty-five; two hundred and sixty-seven thousand; one thousand four hundred and fifty-five; twenty seven millions and eighteen; two hundred and seventy millions and twenty-seven thousand. Ans. 297303078.

APPLICATIONS.

1. How many days are there in the twelve callendar months? January has 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, and December 31. Ans. 365 days.

2. A merchant on settling his accounts finds that he owes A 60 dollars, B 150 dollars, C 240 dollars, and to D 100 dollars. How much does he owe in all?

Ans. 550 dollars.

3. What is the total weight of seven casks of merchandise viz. No. 1, weighing 960 pounds, No. 2, 725 pounds, No. 3, 830 pounds, No. 4, 798 pounds, No. 5, 698 pounds, No. 6, 569 pounds, No. 7, 987 pounds?

Ans. 5567 pounds. 4. A man borrowed a sum of money and paid in part 267 dollars, and afterwards paid the remainder 325 dollars : How much did he borrow? Ans. 592 dollars.

5. At the Custom House, on the first day of June, there were entered 1800 yards of linen; on the 10th, 2500 yards; on the 25th, 600 yards; on the day following, 7500 yards; and on the three last days of the month, 1325 yards each day: What was the whole amount entered during the month? Ans. 16375 yards.

6. A farmer has his live stock distributed in the following manner in pasture No. 1, there are 5 horses, 14 cows, 8 oxen, and 6 colts; in pasture No. 2, 3 horses, 4 colts, 6 cows, 20 calves, and 12 head of young cattle; in pasture No. 4, 320 sheep, 16 calves, 2 colts, and 5 head of young cattle. How much live stock had he of each kind, and how many head had he altogether?

Ans. 8 horses, 20 cows, 8 oxen, 12 colts, 36

calves, 17 head of young cattle, and 320 sheep. Total live stock, 421 head.

7. What is the interval of time between a transaction which happened 125 years ago, and one that will happen 267 years hence ? Ans. 392 years.

8. An army consists of 4000 foot soldiers, 4006 cavalry or horse, 3093 artillery-men, 1224 riflemen, 1400 pioneers

the army

?

and 200 miners: What is the whole number of men in Ans. 13923. 9. The mail route from Albany to New-York is 144 miles, from New-York to Philadelphia 90 miles, from Philadelphia to Baltimore 98 miles, and from Baltimore to Washington City 38 miles: What is the distance from Albany to Washington? Ans. 370 miles. 10. Suppose a man was born on the 1st of January, 1795: When will he be 85 years old? Ans. In 1880.

11. A man dying leaves his only daughter nine hundred and ninety-nine dollars, and to each of three sons two hundred dollars more than he left the daughter. What was each son's portion, and what the amount of the whole estate? Each son's part 1199 dollars. Whole estate 4596 dollars.

Ans.

12. What was the whole number of inhabitants in the ited States in 1830; there being in Maine 399,955; New Hampshire 269,328; Vermont 280,652; Massachusetts 610,408; Rhode Island 97,199; Connecticut 297,675; New York 1,918,608; New Jersey 320,823; Pennsylvania 1,348,233; Delaware 76,748; Maryland 447,040: Virginia 1,211,405; North Carolina 737,987; South Carolina 581,185; Georgia 516,823; Alabama 309,527; Mississippi 110,357; Louisiana 215,739; Tennessee 681,904; Kentucky 687,917; Ohio 937,903; Indiana 343,031; Illinois 157,445; Missouri 140,455; Michigan Territory 31,639; Arkansas 30,388; Florida 34,730; District of Columbia 39,834; Naval Service 5,602. Ans. 12,840 540.

SUBTRACTION OF SIMPLE NUMBERS.

§ 16. John has 6 apples and Charles has 4. How many more apples has John than Charles ?

Ans. 2.

Two is called the difference between the number of apples which John has, and the number of apples which Charles has.

SUBTRACTION is finding the difference between two numbers.

The larger of the two numbers is called the minuend, the lesser is called the subtrahend, and their difference is called the remainder.

Q. What is Subtraction? What is the larger number called? What is the smaller number called? What is the difference called?

§ 17. James has 8 pears and gives 5 to William : how many has he left ? Ans. 3.

Q. Which number is the minuend? Which the subtrahend? Which the remainder?

18. The sign, is called minus, a term signifying less. When placed between two numbers it denotes that the one on the right is to be taken from the one on the left.

Thus, 6-4-2, denotes that 4 is to be taken from 6. Here 6 is the minuend, 4 the subtrahend, and 2 the remainder.

When the numbers are small, their difference is apparent, and instead of saying, 6 minus 4 equals 2, we say, 4 from 6 leaves 2.

Q. What is the sign of subtraction? What is it called? What does the term signify? When placed between two numbers what does it denote? When the numbers are small how do you read them, as 6-4 ?

§ 19. The following table should be committed to memory, and read, two from two naught remains; two from three, one remains, &c.

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OPERATION. 869 Minuend. 327 Subtrahend.

1. From the number 869 subtract 327. We begin at the right hand figure of the lower line, and say, 7 from 9 leaves 2 set down the 2 under the 7. Proceeding to the next column, we say, 2 from 6 leaves 4: set down the 4, and then say, 3 from 8 leaves 5. remainder, or true difference between the numbers.

542 Remainder.

Thus, 542 is the

OPERATION.

hundreds.

A units

hundreds.

tens

units

2. From 654 subtract 472. Beginning at the lower figure on the right, we say, 2 from 4 leaves 2: set down the 2. At the next step we meet a difficulty; for, we cannot subtract 7 from 5. We avoid this difficulty, thus. Ten units in the second place are equal to one unit of the third place § 8. Therefore, if we add 10 to the 5 and diminish 6 by 1 the value of the upper line will not be changed. The numbers are so written at the right.

654 5154 72

472
182

4

1 82

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