In practice the word dimes is not much used; $1.25 is commonly read, One dollar and twenty-five cents. It may also be read, One dollar and twenty-five hundredths. EXERCISES. 1. Read 5.875 and give each figure its appropriate name. 2. Read $5.875 and give each figure its appropriate name. 3. Read $5.875 as dollars, cents, and mills. 4. Read the following: 4. Five dollars, forty-one cents, five mills. 6. Ninety dollars, seven cents. 7. Twenty-seven dollars, fifty-six cents. 9. Nine dollars, thirty-three cents, three mills. 10. Twenty-seven cents, eight mills. 11. Eighty-six dollars, five cents, two mills. 17. Three thousand dollars, and fifty hundredths. 19. Twenty-five dollars, three dimes, seven cents, five mills. 20. One dollar, one cent, one mill. 21. Twenty dollars, twenty cents, ten mills. The Roman System of notation expresses numbers by means of seven capital letters, viz.: Letters: I., V., X., L., C., D., M. Values: 1, 5, 10, 50, 100, 500, 1000. To express other numbers these letters are combined: The table shows that combinations are made: 1. By repeating any of the letters, except V., D., and 2. By writing a letter of less value after one of greater value, as VI., XV. 3. By writing a letter of less value, except V. and D., before one of greater value, as IX., XL. 4. By writing a letter of less value between two of greater value, as XIV. The letter standing before an inserted letter cannot be less in value than the letter following it: XIV., not VIX. 5. By placing a bar over a letter or a combination of letters, as V or XI. The effect of these combinations may be stated briefly as follows: PRINCIPLES. 1. Repeating a letter repeats value, as in XX. 4. Inserting a letter diminishes value, as in XIX. EXERCISES. 1. Let the principles answer the following questions: 1. What does the combination III. express? Why? 2. What does the combination IV. express? Why? 3. What does the combination XV. express? Why? 4. What does the combination XIV. express? Why? 5. What does VIX. express? Why? 7. What is the value of MIX.? Why? 9. What is the value of IXL.? 10. What is the value of LXI.? Why? 11. Is it a letter of less value or of greater value that is prefixed, affixed, or inserted? 12. Can a letter before an inserted letter be less than the one following it? 5 and 3? 2. 3 pencils and 2 pencils? 3 and 2? Since 7 and 3 are ten, why cannot you say that 7 fields and 3 trees are 10? What is the unit of each number? Then we must conclude that only numbers having the same unit can be expressed in a single number. |