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Number Systems Solutions

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 1.1 Number Systems 11 Version: Fall 2007 1.1 Exercises In Exercises 1 - 8 , find the prime factor- ization of the given natural number. 1. 80 2. 108 3. 180 4. 160 5. 128 6. 192 7. 32 8. 72 In Exercises 9 - 16 , convert the given dec- imal to a fraction. 9. 0 . 648 10. 0 . 62 11. 0 . 240 12. 0 . 90 13. 0 . 14 14. 0 . 760 15. 0 . 888 16. 0 . 104 In Exercises 17 - 24 , convert the given repeating decimal to a fraction. 17. 0 . 27 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 18. 0 . 171 19. 0 . 24 20. 0 . 882 21. 0 . 84 22. 0 . 384 23. 0 . 63 24. 0 . 60 25. Prove that 3 is irrational. 26. Prove that 5 is irrational. In Exercises 27 - 30 , copy the given ta- ble onto your homework paper. In each row, place a check mark in each column that is appropriate. That is, if the num- ber at the start of the row is rational, place a check mark in the rational col- umn. Note: Most (but not all) rows will have more than one check mark. 27. N W Z Q R 0 2 2 / 3 0.15 0 . 2 5
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12 Chapter 1 Preliminaries Version: Fall 2007 28. N W Z Q R 10 / 2 π 6 0 . 9 2 0 . 37 29. N W Z Q R 4 / 3 12 0 11 1 . 3 6 / 2 30.
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