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**Unformatted text preview: **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. . 648 10. . 62 11. . 240 12. . 90 13. . 14 14. . 760 15. . 888 16. . 104 In Exercises 17- 24 , convert the given repeating decimal to a fraction. 17. . 27 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 18. . 171 19. . 24 20. . 882 21. . 84 22. . 384 23. . 63 24. . 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 − 2 − 2 / 3 0.15 . 2 √ 5 12 Chapter 1 Preliminaries Version: Fall 2007 28....

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