1. Name three different ways in which numbers can be expressed.

2. Can you recall the rules you have learned about reading numbers?

3. When do we use and " in reading numbers?

4. What is usually done to help us in reading large numbers? 5. Read the numbers in the picture.

6. What is the difference in value between the place to the left of the decimal point and the place to the right of the decimal point?

7. Do Roman numbers have place value?

Be careful to read and write numbers accurately, as many mistakes are often due to incorrect reading or careless writing of numbers.

Read the following and write the numbers in words:

8. On June 30, 1920, according to the Treasury report, the total debt of the United States was $24,299,321,467.07.

9. This amount was $2,297,380,180.94 less than the total debt on August 31 of the previous year.

10. The population of the United States in 1920 was 105,683,108.

11. At the beginning of the World War the national wealth of the United States was estimated at $250,000,000,000; that of Great Britain, at $90,000,000,000.

Read the following, and write the numbers in figures:

12. Four billion one hundred seventy-six million five hundred sixteen thousand eight hundred fifty dollars were subscribed to the Third Liberty Loan.

13. The World War cost three hundred thirty-eight billion dollars.

14. Write the following in words: 845,621,324, 75,689,432,164, 40,067,621,893, 17,623,451,682.

15. Read: 827,063, 961,687,542, 1,078,562,169, 30,189,765,425.

NOTE. In reading and writing decimals remember that there are as many decimal places as there are O's in the denominator. Thus, forty-five thousandths (1) is written .045. (There are three O's in the denominator 1000.)

28. Move the decimal point one place to the right in all the numbers in examples 25, 26, and 27 and read the resulting numbers.

29. Move the decimal point one place to the left in all the numbers in examples 25, 26, and 27 and read the resulting numbers.

30. How do you determine the number of decimal places when writing the following decimally?

100000

180

6

1%

1000000

31. How do you determine the denominator when reading any decimal as a common fraction?

32. What name is given to the third decimal place? the second? the fifth? the first? the fourth?

Reading the examples toward the right shows that if we multiply the numerator and the denominator by the same number, we change the denomination but not the value.

Reading the examples from right to left shows that if we divide the numerator and the denominator by the same number, we change the denomination but not the value.

33. Write as hundredths: .9, 0.6, .4, 0.7.

34. Write as thousandths: .9, .06, .05, .7.

35. Express as tenths: 0.700, 0.50, 0.800, .90.

36. How many letters does the Roman system of notation make use of?

37. Write the Roman numbers from 1 to 25 in their order.

38. Read: LX, XIX, XC, LVI, CCV, MD, MCCV, XL, MDCIX, MC.

39. Write the present year in Roman numbers.

40. Write the year of your birth in Roman numbers.

41. Write in Roman numbers:

a. The year the Battle of the Marne was fought.

b. The year we entered the World War.

c. The year Washington was born.

d. The year Lincoln was assassinated.

42. Write in Roman notation: 16, 24, 58, 112, 502, 1718.

Read these statements:

43. Charles Dickens was born in MDCCCXII.

44. Henry W. Longfellow died in MDCCCLXXXII.

Remember:

Business men require boys and girls who are able to read numbers correctly, to copy them correctly, to write them from dictation, and to add, subtract, multiply, and divide integers and fractions accurately with reasonable speed. Accuracy is more important than speed. To insure accuracy, try to:

1. Write figures carefully, particularly when writing in column form.

2. Write units under units, tens under tens, etc.

3. Check every calculation before laying down your pencil.

4. Prove your answer whenever you have a chance to do so.