Survey of Mathematics

CHAPTER 4 Review Exercises 209 Section 4.2 Place-Value Numeration Systems Expanded Form of a Number Babylonian Numerals Mayan Numerals Discussion page 181, Example 1, page 182 Discussion page 182, Examples 2– 6, pages 182–184 Discussion page 184, Examples 7–10, pages 185–186 Section 4.3 Positional Values in Base b … b b b b ,,,,,1 4 3 2 Discussion pages 188–191, Examples 1–7, pages 190 –192 Section 4.4 Computation in Other Bases Addition and Subtraction Multiplication and Division Discussion pages 195–198, Examples 1– 6, pages 195–198 Discussion pages 198–201, Examples 7–10, pages 199 –201 Section 4.5 Early Computation Methods Duplation and Mediation Lattice Multiplication Napier’s Rods Discussion page 203, Example 1, pages 203 –204 Discussion page 204, Example 2, pages 204 –205 Discussion page 205, Examples 3– 4, pages 205 –206 Review Exercises CHAPTER 4 4.1, 4.2 In Exercises 1– 4, write the Egyptian numeral as a Hindu– Arabic numeral. 5. 3213 * 6. 10,200 * In Exercises 9–12, write the Roman numeral as a Hindu– Arabic numeral. 7. 124,321 * 8. 1,003,042 * 9. XIV 14 10. CXLII 142 11. MMCDXXXVII 2437 12. VDCCLIX 5759 1. 232 2. 42,053 3. 200,421 4. 1,214,330 In Exercises 5–8, write the Hindu–Arabic numeral as an Egyptian numeral. *See Instructor Answer Appendix In Exercises 17–20, write the Chinese numeral as a Hindu– Arabic numeral. In Exercises 21–24, write the Hindu–Arabic numeral as a Chinese numeral. 21. 23 * 22. 54 * 23. 492 * 24. 2652 * 15. 1964 MCMLXIV 16. 6491 VICDXCI 13. 84 LXXXIV 14. 693 DCXCIII In Exercises 13–16, write the Hindu–Arabic numeral as a Roman numeral. 17. 32 18. 45 19. 267 20. 3429

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