Adams's New Arithmetic

27.

5 3 6 4 20 7 6 3 1 0 2 3 2 8 1 2 3 4 5 6 7 2 9 4 8 6 057 04 20 87094 3 1 6 2 8 3 5 9 0 6 7 18 76 0 4 28 6 5 3 7 8 9 2

28.

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

2 8 3 4 9 6 7 3 2 6 7 08 9 3 0 6 3 4 2 1 6 7 3 2 1 2 3 6 5 4 7 8 0 2 4 3 69 80 50 60 70 80 900

29. What is the amount of 46723, 6742, and 986 dollars? 30. A man has three orchards; in the first there are 140 trees that bear apples, and 64 trees that bear peaches; in the second, 234 trees bear apples, and 73 bear cherries; in the third, 47 trees bear plums, 36 bear pears, and 25 bear cherries; how many trees in all the orchards?

SUPPLEMENT

TO NUMERATION AND ADDITION.

QUESTIONS.

1. What is a single or individual thing called?

2. What is notation ? 3. What are the methods of notation now in use? 4. How many are the Arabic characters or figures? 5. What is numeration? 6. What is a fundamental law in notation? 7. What is addition? 8. What is the rule for addition ? 9. What is the result, or number sought, called? 10. What is the sign of addition? 11. equality? 12. How is addition proved?

EXERCISES.

of

1. Washington was born in the year of our Lord 1732; he was 67 years old when he died; in what year of our Lord did he die?

2. The invasion of Greece by Xerxes took place 481 years before Christ; how long ago is that this current year 1827? 3. There are two numbers, the less number is 8671, the difference between the numbers is 597; what is the greater number.

4. A man borrowed a sum of money, and paid in part 684 dollars; the sum left unpaid was 876 dollars; what was the sum borrowed?

5. There are four numbers, the first 317, the second 812, the third 1350, and the fourth as much as the other three; what is the sum of them all?

6. A gentleman left his daughter 16 thousand, 16 hundred and 16 dollars; he left his son 1800 more than his daughter; what was his son's portion, and what was the amount of the whole estate ? Son's portion, 19,416. Ans. Whole estate, 37,032.

7. A man, at his death, left his estate to his four children, who, after paying debts to the amount of 1476 dollars, received 4768 dollars each; how much was the whole estate? Ans. 20548.

8. A man bought four hogs, each weighing 375 pounds; how much did they all weigh? Ans. 1500.

9. The fore quarters of an ox weigh one hundred and eight pounds each, the hind quarters weigh one hundred and twenty-four pounds each, the hide seventy-six pounds, and the tallow sixty pounds; what is the whole weight of the ox? Ans. 600.

10. A man, being asked his age, said he was thirty-four years old when his eldest son was born, who was then fifteen years of age; what was the age of the father?

11. A man sold two cows for sixteen dollars each, twenty bushels of corn for twelve dollars, and one hundred pounds of tallow for eight dollars; what was his due ?

SUBTRACTION

OF SIMPLE NUMBERS.

¶ 6. 1. Charles, having 18 cents, bought a book, for which he gave 6 cents; how many cents had he left?

2. John had 12 apples; he gave 5 of them to his brother,

how many

had he left?

3. Peter played at marbles; he had 23 when he began, but when he had done he had only 12; how many did he lose?

4. A man bought a cow for 17 dollars, and sold her again for 22 dollars; how many dollars did he gain?

5. Charles is 9 years old, and Andrew is 13; what is the difference in their ages?

6. A man borrowed 50 dollars, and paid all but 18; how many dollars did he pay? that is, take 18 from 50, and how many would there be left?

7. John bought a book and slate for 33 cents; he gave 8 cents for the book; what did the slate cost him?

8. Peter bought a waggon for 36 cents, and sold it for 45 cents; how many cents did he gain by the bargain?

9. Peter sold a waggon for 45 cents, which was 9 cents more than he gave for it; how many cents did he give for the waggon?

10. A boy, being asked how old he was, said that he was 25 years younger than his father, whose age was 33 years; how old was the boy?

The taking of a less number from a greater (as in the foregoing examples) is called Subtraction. The greater number is called the minuend, the less number the subtrahend, and what is left after subtraction is called the difference, or remainder.

11. If the minuend be 8, and the subtrahend 3, what is the difference or remainder?

Ans. 5.

12. If the subtrahend be 4, and the minuend 16, what is the remainder?

13. Samuel bought a book for 20 cents; he paid down 12 cents; how many cents more must he pay?

SIGN. A short horizontal line, -, is the sign of subtraction. It is usually read minus, which is a Latin word signifying less. It shows that the number after it is to be taken from the number before it. Thus, 8-35, is read 8 minus or less 3 is equal to 5; or, 3 from 8 leaves 5. The latter expression is to be used by the pupil in committing the following