14. Two in the 3d period, sixty in the 2d, one hundred fifty-three in the 1st.

15. Sixty in each of the 4th, 3d, 2d, and 1st periods.

16. 60 million, 200 thousand, 500.

17. 402 billion, 348 million, 213 thousand, 20.

18. 78 trillion, 640 billion, 9 million, 6 thousand, 16.

19. 6 billion, 542 million, 25.

20. Six billion, five hundred forty-two million, twenty-five. 21. Four hundred two billion, three hundred forty-eight million, two hundred thirteen thousand, twenty.

22. Five million, two hundred sixty-eight thousand, nine hundred forty-nine.

23. Two hundred million, three hundred thousand, eight hundred.

24. Twenty-nine billion, five hundred ninety-nine million, six hundred one.

25. Four trillion, five hundred fifty-eight million, two hundred forty-four thousand, seventy.

26. Thirty-two billion, sixty-one million, three hundred forty-three thousand, four hundred four.

27. Five hundred fifty-five million, seven hundred seventyseven thousand, six hundred sixty-nine.

28. Eight hundred six billion, seventy million, three hundred eighty-five thousand, two hundred six.

29. Nine hundred forty-one trillion, one hundred sixteen thousand, twenty-two.

30. Twenty-three billion, twenty-three million, twentythree thousand, twenty-three.

31. Six hundred thousand, seventy-five.

32. Twelve billion, eight million, nine hundred eightyeight thousand, thirteen.

33. Twenty-nine quadrillion, seven hundred fifty-seven trillion, four hundred eighty million, thirteen thousand, five hundred sixty-five.

NOTATION AND NUMERATION OF U. S. MONEY.

35. The currency of the United States has a Decimal System of notation, thus:

10 mills make 1 cent.
10 cents make 1 dime.

10 dimes make 1 dollar.

36. The Sign of Dollars is $. It is written before. the number.

Thus, $16 is read, sixteen dollars.

37. In writing decimal currency a mark called the decimal point is placed before cents and mills.

38. Cents occupy the first two places at the right of the decimal point, and mills the third.

Thus, $7.584 is read, seven dollars, fifty-eight cents, four mills; $.694 is read, sixty-nine cents, four mills.

39. If the number of cents is less than ten, write a cipher in the first place at the right of the decimal point.

Thus, five dollars, eight cents, is written, $5.08; three dollars, seven rents, $3.07.

1. Two dollars, twenty-three cents, five mills.
2. Two hundred two dollars, two cents, five mills.
3. One hundred twelve dollars, twenty-five cents.
4. Six hundred two dollars, nine cents.

5. Twenty thousand dollars, thirty-two cents.

6. Twelve million, seven hundred thousand dollars.

7. Six million dollars, eighty-eight cents.

8. Twelve thousand three hundred dollars, fifteen cents.

ROMAN SYSTEM.

42. In this system seven letters are used to express numbers, viz:

Letters. I, V, X, L, C, D, M.

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

By combining these letters according to certain principles. any number can be expressed.

PRINCIPLES.-1. When a letter is repeated its value is repeated.

Thus, I represents 1; II, two; III, three; X, ten; XX, twenty; XXX, thirty; C, one hundred; CCC, three hundred.

2. When a letter is placed before another of greater value its value is to be taken from that of the greater.

Thus, I represents one and V five, but IV represents four; IX, nine; XIX, nineteen; XL, forty; XC, ninety.

3. When a letter is placed after another of greater value their values are to be united.

Thus, XV represents fifteen; LX, sixty; LXXX, eighty; DC, six hundred; MD, fifteen hundred.

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

Thus, V represents five; V, five thousand; LX, sixty; LX, sixty thousand; M, one thousand; M, one million.

CCCLXXXIX; DCCXXXVI; VDLV ; DLDC; CCXDVI; LXXMMMDCCCXCIX; MDXCVDCCCLXIV.

Express the following numbers by Roman Notation:

15, 18, 27, 81, 95, 86, 534, 684, 1050, 8004, 7000, 75869.

43. 1. How many are 2 pears and 1 pear? 2 pears and 2 pears?

2. How many are 3 leaves and 2 leaves? 3 leaves and 3 leaves? How many are 3 and 1? 3 and 2? 3 and 3?

3. Jane has 3 apples and Mary has 4 apples. How many apples have both? How many are 3 and 4? 4 and 3?

4. George gave me 2 apples and Mary gave me 4. How many apples did both give me? How many are 4 and 2? 2 and 4?

5. A farmer had 2 horses and bought 6 more. How many horses had he then? How many are 2 and 6? 6 and 2?

6. Henry paid 5 cents for a pencil and 7 cents for a writing-book. How many cents did he pay for both? How many are 5 and 7? 7 and 5?

7. If a barrel of flour is worth $6, and a cord of wood $4, how much are both worth? How many are 6 and 4? 8. A man plowed 8 acres of land in one week and 6 acres the next week. How many acres did he plow in both weeks? 9. On the Fourth of July, Ned spent 10 cents for firecrackers and 6 cents for torpedoes. How many cents did he spend for both?

10. Harry is 6 years old and his sister is four How old is his sister? How many are 6 and 4?

years

older.