21. Eighty-four and three tenths. 22. Four hundred forty and seven hundredths. 23. Seven hundred forty-two and thirty-six hundredths. 24. Six thousand three hundred twenty-five and twentythree hundredths. 25. Twenty-nine thousand four hundred twenty-one and one tenth. 26. Six hundred forty-eight thousand two hundred twenty-three and twenty-four thousandths. 27. Sixteen million six hundred four thousand seventysix and seventy-two thousandths. 28. Thirty million thirty thousand thirty and four hundredths. 29. Eight billion thirty-six million one hundred thousand three hundred nineteen and eight hundred twentyfour ten-thousandths. LESSON 3 The Roman Notation employs seven letters of the Roman alphabet to represent numbers. IV XL C Ꭰ M, 1 5 10 50 100 500 letters employed. values. Other numbers are represented by repeating or combining these letters according to certain principles. PRINCIPLES 1. Every time a letter is repeated, the number represented by it is repeated. Thus, II, 2; XX, 20; CCC, 300. 2. By writing a letter before one of greater value, the difference of their values is represented. Thus, IV, 4; IX, 9; XL, 40. 3. By writing a letter after one of greater value, the sum of their values is represented. Thus, VI, 6; XI, 11; XV, 15. 4. When a letter is written between two letters each of greater value, it is combined with the one following it, according to Principle 2. Thus, XIV, 14; CIX, 109; DXL, 540. 5. The value of an expression is increased a thousandfold by placing a dash over it. Thus, V, 5000; X, 10,000; XV, 15,000. 46. Virginia was settled in MDCVII. 47. Pilgrims landed in Massachusetts in MDCXX. 48. The Dutch began to colonize New Netherland in MDCXIV. 49. The Swedes made a settlement on the Delaware in MDCXXXVIII. 50. A settlement was made in Pennsylvania in the year MDCLXXXI. LESSON 5 United States Money is the lawful money of the United States. It consists of two kinds, specie or coin, and paper money. In writing United States money, dollars are separated from cents by a small dot () called the Decimal Point. All figures to the left of the point denote dollars; all figures to the right, parts of the dollar. The first two places to the right of the point represent cents; the third, mills; the fourth, tenths of a mill. 16. Four dollars and seventy-five cents. 17. Twenty-eight dollars and thirty-seven cents. 18. Two hundred forty-nine dollars and fourteen cents. 19. Seven hundred sixty dollars, eighty-five cents and four mills. 20. Two thousand twenty-nine dollars and seventy-two cents. 21. Seventy-eight thousand four hundred dollars and ten cents. 22. Twenty-eight dollars and eight mills. 23. Fifteen dollars, fifteen cents and seven mills. 24. One hundred fifty-three thousand four hundred sixty-three dollars, forty-two cents and nine mills. LESSON 6 1. What is notation? 2. State the three ways of writing numbers. 3. What is the Arabic System of notation? 4. Of what does numeration treat? 5. When a figure stands alone what does it denote? Ans. units. What does the word unit mean? 6. What does a figure placed at the left of units. denote ? 7. In 66, how many units does the figure at the right express? How many units does the second figure express? The second 6 expresses how many times as many units as the first 6? 8. 60 units are how many times 6 units? 9. In 666, what does the first figure at the left express? It expresses how many times as many tens as the second 6? How many 10's are 300? 600? How many units are 30 tens? 10. In 6.6, the figure at the right of the decimal point expresses what part of the value of the figure at the left of the point? 6 equals how many times .6? 11. How can you make 6 stand for sixty? How can you make it stand for six tenths? Six hundredths? 12. Name the smallest whole number that can be written with three figures. The largest. |
