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26. Write the following:

1. Fifteen dollars, twelve cents. Eighteen dollars, eight cents. Twenty-four dollars, eight cents.

2. Thirty-four dollars, thirty cents. Fifty-five dollars, twenty cents. Nineteen dollars, thirty-eight cents.

3. Forty dollars, four cents. Ninety-nine dollars, nine cents. Sixty-four dollars, eleven cents.

4. Four hundred dollars, eight cents. Seven hundred dollars. Seventeen dollars, eight cents, eight mills.

5. Two hundred thirty-eight dollars, twenty cents, five mills. Ninety-three dollars, forty cents, eight mills.

6. Three hundred ninety-one dollars, forty-eight cents, three mills. Sixty-seven dollars, sixty-seven cents, three mills.

7. Four thousand three hundred twenty dollars, eight cents. Fifty-nine dollars, twenty cents, seven mills.

8. One thousand two hundred forty-nine dollars, nine cents, five mills. Forty-seven dollars, ninety cents, five mills.

9. Eighty-four thousand three hundred dollars, nine cents. Thirty dollars, nine cents, nine mills.

10. Fifty-five thousand eight hundred sixteen dollars, five cents. One thousand dollars, ten cents, five mills.

THE ROMAN SYSTEM.

27. This system uses seven capital letters to express numbers, viz.:

Letters, I, V, X, L, C,

D1

M.

Values, 1,

1, 5, 10, 50, 100, 500, 1000.

23. The following principles are followed in combining the letters:

PRINCIPLES.1. Repeating a letter repeats its value.

Thus, I represents one; II, two; III, three; X, ten; XX, twenty. 2. When a letter is placed before another of greater value, its value is to be taken from that of the greater.

Thus, IV represents four; IX, nine; XIX, nineteen; XL, forty. 3. When a letter is placed after another of greater value, their values are to be united.

Thus, VII represents seven; XV, fifteen; LXXX, eighty.

4. A bar placed over a letter increases its value a thousandfold.

Thus, V represents five thousand; L, fifty thousand; M, one million.

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29. Read the following numbers:

XVII; XXV; LXXX; XIX; XXIX; XLV; CXV; XCV; LXXIX; CXIX; XCIX; XLIV; CCCIV; CCXLIV; CCCCXC; DCCLXXXIX; XDCCCLXXII.

Express the following numbers by the Roman notation: 13, 24, 71, 68, 132, 514, 244, 555, 617, 1040, 7216, 2899.

ADDITION.

30. 1. How many apples are 3 apples and 2 apples?

2. How many books are 3 books and 4 books?

3. How many leaves are 2 leaves and 3 leaves?

4. How many oranges are 4 oranges and 2 oranges?

5. What have you been doing with the numbers given above?

6. Why can you not tell how many 5 cents and 4 rabbits are ?

7. What kind of numbers only can be united?

31. The process of finding a number which is equal to two or more given numbers is called Addition.

32. The result obtained by adding is called the Sum, or Amount.

33. The numbers added are called Addends.

34. The Sign of Addition is an upright cross +. It is called plus, and is placed between the numbers to be added. Thus, 3+ 7 is read 3 plus 7, and it means that 3 and 7 are to be added.

35. The Sign of Equality is two equal short horizontal lines: =. It is read equals or is equal to.

Thus, 3 + 7 = 10 is read 3 plus 7 equals 10.

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36. Any expression of equality is called an Equation.

Thus, 3710 and 5 + 4 = 9 are equations.

37. Numbers that have the same unit are called Like Numbers.

Thus, $7 and $5 are like numbers; so also are 15 pounds and 8 pounds.

38. PRINCIPLES. -1. Only like numbers can be added. 2. The sum and the addends must be like numbers.

DRILL EXERCISES.

39. The student should practice adding the following numbers daily until he can tell the sums at a glance.

The list contains all the combinations of two numbers

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ORAL EXERCISES.

40. 1. Harry paid 5 cents for a pencil and 10 cents for a writing book. How much did he pay for both? 5+10=?

2. Mary learned 8 new words on Monday and 9 on Tuesday. How many did she learn on both days? 8+9=?

3. James earned $3 in May, $4 in June, and $6 in July. How much did he earn in the three months? 3+4+6= ?

4. I gave 5 apples to my sister, 6 to my brother, and then had 7 for myself. How many had I at first? 5+6+7=?

5. A teacher gave for a lesson on Monday 6 problems, on Tuesday 7, and on Wednesday 8. How many did she give in the three days? 6+7+8=?

6. Mary put into her bank 5 cents at one time, 8 cents at another, and 10 at another. How much did she put in altogether?

7. A lad saw three flocks of wild geese. In the first there were 9, in the second 7, and in the third 10. How many were there in all ?

8. Sarah's locket cost $8, the chain $6, and her ring $10. How much did they all cost? 8+6+10= ?

9. A gentleman owned 9 gray horses, 7 black ones, and 10 bay ones. How many horses did he own? 9+7+10=?

10. A bookseller one day sold 8 first readers, 4 second readers, and 5 third readers. How many readers did he sell?

11. A boy rode 5 miles and back on his bicycle, and then walked 3 miles. How far did he travel? 5+5+ 3 = ? 12. A farmer planted three fields with corn, the first

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