4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 179 Exercises Warm Up Exercises In Exercises 1–8, fill in the blanks with an appropriate word, phrase, or symbol(s). 1. A number is a quantity, and it answers the question “________?” How many 2. A symbol used to represent a number is called a(n) ________. Numeral 3. The system of numeration that we presently use is the ________ system. Hindu–Arabic 4. The Egyptian hieroglyphic system and the Roman numeration system are examples of ________ numeration systems. Additive 5. As you read a Roman numeral from left to right, if a smaller number comes before a larger number, you should ________ the smaller number from the larger number. Subtract 6. A bar above a Roman numeral means to multiply that numeral by ________. 1000 7. The Chinese numeration system is an example of a ________ numeration system. Multiplicative 8. The Ionic Greek numeration system is an example of a ________ numeration system. Ciphered Practice the Skills In Exercises 9–14, write the Egyptian numeral as a Hindu–Arabic numeral. 9. 225 10. 1341 11. 12,341 12. 41,210 13. 334,214 14. 3,300,431 In Exercises 15–20, write the Hindu–Arabic numeral as an Egyptian numeral. 15. 22 16. 134 17. 2045 18. 20,321 19. 173,845 * 20. 3,235,614 * In Exercises 21–32, write the Roman numeral as a Hindu–Arabic numeral. 21. XXVII 27 22. XVIII 18 23. CCXCIV 294 24. CDLXXII 472 25. MMDCXLII 2642 26. MCMLXIV 1964 27. MMCMXLVI 2946 28. MDCCXLVI 1746 29. IVCDXCIX 4499 30. LMCMXLIV 51,944 31. XMMDCLXVI 12,666 32. XCIXCMXCIX 99,999 In Exercises 33– 44, write the Hindu–Arabic numeral as a Roman numeral. 33. 27 XXVII 34. 83 LXXXIII 35. 292 CCXCII 36. 744 DCCXLIV 37. 1914 MCMXIV 38. 4285 IVCCLXXXV 39. 4793 IVDCCXCIII 40. 6274 VICCLXXIV 41. 9999 IXCMXCIX 42. 14,315 XIVCCCXV 43. 46,281 XLVICCLXXXI 44. 89,119 LXXXIXCXIX In Exercises 45–52, write the Chinese numeral as a Hindu–Arabic numeral. 45. 74 46. 62 47. 4081 48. 3029 49. 8550 50. 3487 51. 4003 52. 5602 SECTION 4.1 *See Instructor Answer Appendix
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