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By Cynthia Y. Young

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1. 44 6. Ϫ72 11. 10Ϫ1 16. Ϫ2 # 42 2. 53 7. Ϫ22 # 4 12. aϪ1 17. 8 # 2Ϫ3 # 5 3. (Ϫ3)5 8. Ϫ32 # 5 13. 8Ϫ2 18. 5 # 2Ϫ4 # 32 4. (Ϫ4)2 9. 90 14. 3Ϫ4 19. Ϫ6 # 3Ϫ2 # 81 5. Ϫ52 10. Ϫ8x0 15. Ϫ6 # 52 20. qxd 8/7/12 26 5:34 PM Page 26 C H A P T E R 0 Prerequisites and Review In Exercises 21–50, simplify and write the resulting expression with only positive exponents. 21. x2 # x3 22. y3 # y5 23. x2 xϪ3 24. y3 # yϪ7 25. (x2 ) 26. (y3)2 27. (4a)3 28. (4x2) 29. (Ϫ2t)3 30. (Ϫ3b)4 31. (5xy2) (3x3y) 3 33. x5 y3 34.

If you multiply five numbers, it does not matter what order you multiply them. If you add 0 to a real number or multiply a real number by 1, the result yields the original real number. Basic properties of real numbers are summarized in the following table. Because these properties are true for variables and algebraic expressions, these properties are often called the basic rules of algebra. qxd 8/7/12 10 5:34 PM Page 10 C H A P T E R 0 Prerequisites and Review P R O P E RTI E S O F R E AL N U M B E R S ( BAS I C R U LE S O F ALG E B R A ) MATH (LET a, b, NAME D ESCRIPTION AND c EACH BE ANY REAL NUMBER) E XAMPLE Commutative property of addition Two real numbers can be added in any order.

10 - 3x 15 ■ YO U R T U R N 5x + 6 10 Perform the indicated operations involving fractions. a. 3 1 + 5 2 b. 1 3 , 5 10 c. 1 S U M MARY In this section, real numbers were defined as the set of all rational and irrational numbers. Decimals are approximated by either truncating or rounding. ■ ■ Truncating: Eliminate all values after a particular digit. Rounding: Look to the right of a particular digit. If the number is 5 or greater, increase the digit by 1; otherwise, leave it as is and eliminate all digits to the right.

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