15. Apply the rule to the following:

1. One thousand two hundred thirty-four.
2. Five thousand six hundred seventy-eight.
3. Nine thousand twelve.

4. Three thousand four hundred fifty-six.
5. Seven thousand eight hundred ninety.
6. One thousand two hundred thirty-four.
7. Nine thousand one.

8. Three thousand three hundred forty-four.
9. Nine thousand nine hundred.

10. Five thousand five.

11. Eight million one thousand seventy-six.

12. Three million one hundred sixty-two thousand one hundred seventy-two.

13. Forty million twenty-seven thousand six hundred twenty-one.

14. One hundred twenty-three million four hundred fifty-six thousand seven hundred eighty-nine.

15. Nine hundred eighty-seven million six hundred fifty-four thousand three hundred twenty-one.

16. Two hundred thirty-one million two hundred two thousand seven hundred.

17. Thirty million eight hundred twenty-six thousand fifty-one.

18. Seven million eight hundred one thousand seventeen. 19. Four hundred fifty-eight million two hundred seventy-five thousand six hundred ten.

20. Ninety million five hundred seventy-seven thousand six hundred nineteen.

21. Twenty-nine billion one million one thousand eight hundred.

22. Fifty-nine billion one million one.

23. Six hundred twenty million eighty-four thousand. 24. Four hundred sixty-seven million nine thousand nine.

25. Fifty billion fifty million fifty thousand fifty.

26. Six hundred billion six hundred million six hundred.

27. Forty-three billion twenty million twenty-four thousand.

28. Eighty-six billion eighty-four thousand five.

29. Five hundred twenty-five million five.

30. Three hundred twenty-five billion seventeen million ninety thousand nine hundred ninety.

31. Six hundred twenty-five million five hundred thousand twenty-five.

32. Seven hundred twenty-six million eight thousand eight hundred eighty.

33. Three hundred twenty-nine thousand three hundred three.

34. Three hundred million two hundred twenty-seven. 35. Sixty-six billion one hundred million one hundred seventy-four thousand seventy-four.

36. Eighty million eighty thousand eight.

37. Ninety-five billion seven million six thousand one hundred seventy-five.

38. Seventy-six million twenty-four.

39. Nine million twenty-eight thousand.

40. One million.

41. Three million, ten.

42. Seventy-six million twenty-four.

43. Four hundred million three hundred twenty-nine.

44. Fifty-five billion two hundred million nine hundred eighty-four thousand seventy-five.

45. Seventeen million four hundred seven thousand eighty-four.

46. Twenty-eight million five hundred ninety-four thousand sixty-seven.

47. Eighty million eighty thousand eight.

48. Ninety-five billion nine million eight thousand two hundred ninety-four.

49. Six hundred fifty-five quadrillion two hundred fifty-six trillion two hundred thirty-four billion six hundred twenty-five million four hundred ninety-nine thousand eight hundred forty-four.

DECIMAL NOTATION.

1. The Decimal System of notation extends to the decimal parts of a unit, called tenths, hundredths, thousandths.

Reading by columns from the unit towards the left, we have the decimal system of whole numbers; reading by columns from the unit towards the right, we have the decimal system of fractions.

2. To mark the beginning of tenths and to separate tenths and units a sign [.] called the Decimal Point is used. 4.235 is read, "4 units and 2 tenths, 3 hundredths, 5 thousandths"; or, more briefly, "4, and 235 thousandths," the decimal name of the last figure only being repeated.

Notice here that the decimal point is read and. Moreover, that in reading numbers and is to be applied to the decimal point exclusively.

3. When the decimal point simply marks the beginning of a number it is not read. .67 is read sixty-seven hundredths.

.5 and .50 are of the same value; but .05 is one-tenth the value of .5. [See Principle 3, page 11.]

EXERCISES.

1. Read the following decimals:

1. .6.
2. .9.
3. .13.
4. .75. 14. .075.
5. .96. 15. .020.
6. .548. 16. .01.
7. .636. 17. .001.
8. .045. 18. .80.
9. .008. 19. .500.

11. .06. 21. 3.38.

31. .303.

12. .09.
13. .013.

28. 215.455. 38. .300.

29. 326.008. 39. 4444.444.

10. .023. 20. .625. 30. 400.000. 40. 5000.005.

2. Write in figures:

1. Four tenths. Eight tenths. Nine tenths.

2. Six hundredths. Fourteen hundredths. Twenty-one hundredths.

3. Seventeen thousandths. Three hundred three

thousandths.

4. Eighty-five hundredths. Eight, and five tenths.
5. Sixty, and six hundredths. Five, and fifteen
thousandths.

6. Nine, and two hundred sixteen thousandths.
7. Seventy-three, and eight tenths. One tenth.
One hundredth.

8. One thousandth.

tenths.

Two hundredths.

Three

9. One thousand, and two hundredths. Three hundred, and three tenths.

10. Two hundred sixteen, and three hundred eightyfour thousandths.

3. Does annexing a cipher to a decimal alter its value? 4. What is the effect of inserting a cipher between the decimal point and the first figure of the decimal?

5. What is the effect of moving decimal figures towards the right?

UNITED STATES MONEY.

1. The decimal system of notation and numeration applies to United States currency, in which

10 mills make 1 cent.

10 cents make 1 dime.

10 dimes make 1 dollar.

10 dollars make 1 eagle.

2. Dollars are denoted by the sign $ written before the number. $12 means twelve dollars.

3. The decimal point is placed between dollars and dimes; hence, dimes are tenths of a dollar, cents are hundredths of a dollar, and mills thousandths of a dollar.