By Joanne Lockwood, Vernon C. Barker Richard N. Aufmann
With the entire help of the popular Aufmann process, this well known mix textual content is helping your scholars organize to grasp collage algebra and to use algebra within the actual international.
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Additional info for Algebra: Introductory and Intermediate, Fourth Edition
Change 51 to the opposite of 51. HOW TO Subtract: Ϫ12 Ϫ (Ϫ21) Ϫ 15 Ϫ12 Ϫ (Ϫ21) Ϫ 15 ϭ Ϫ12 ϩ 21 ϩ (Ϫ15) ϭ 9 ϩ (Ϫ15) ϭ Ϫ6 • Rewrite each subtraction as addition of the opposite. Then add. Copyright © Houghton Mifflin Company. All rights reserved. Change Ϫ40 to the opposite of Ϫ40. 1 / Integers Example 3 Add: (Ϫ52) ϩ (Ϫ39) You Try It 3 Solution The signs are the same. Add the absolute values of the numbers: 52 ϩ 39 ϭ 91 Your solution 7 Add: 100 ϩ (Ϫ43) Attach the sign of the addends: (Ϫ52) ϩ (Ϫ39) ϭ Ϫ91 Example 4 Add: 37 ϩ (Ϫ52) ϩ (Ϫ21) ϩ (Ϫ7) You Try It 4 Add: (Ϫ51) ϩ 42 ϩ 17 ϩ (Ϫ102) Solution 37 ϩ (Ϫ52) ϩ (Ϫ21) ϩ (Ϫ7) ϭ Ϫ15 ϩ (Ϫ21) ϩ (Ϫ7) ϭ Ϫ36 ϩ (Ϫ7) ϭ Ϫ43 Your solution Example 5 Subtract: Ϫ11 Ϫ 15 You Try It 5 Solution Ϫ11 Ϫ 15 ϭ Ϫ11 ϩ (Ϫ15) ϭ Ϫ26 Your solution Example 6 Subtract: Ϫ14 Ϫ 18 Ϫ (Ϫ21) Ϫ 4 You Try It 6 Solution Ϫ14 Ϫ 18 Ϫ (Ϫ21) Ϫ 4 ϭ Ϫ14 ϩ (Ϫ18) ϩ 21 ϩ (Ϫ4) ϭ Ϫ32 ϩ 21 ϩ (Ϫ4) ϭ Ϫ11 ϩ (Ϫ4) ϭ Ϫ15 Your solution Subtract: 19 Ϫ (Ϫ32) Subtract: Ϫ9 Ϫ (Ϫ12) Ϫ 17 Ϫ 4 Objective D To multiply or divide integers VIDEO & DVD CD TUTOR WEB SSM Multiplication is the repeated addition of the same number.
Simplify ͙36. Note that 72 must be written as the product of a perfect square and a factor that does not contain a perfect square. Therefore, it would not be correct to rewrite ͙72 as ͙9 и 8 and simplify the expression as shown at the right. Although 9 is a perfectsquare factor of 72, 8 has a perfect square factor (8 4 и 2). Therefore, ͙8 is not in simplest form. Remember to find the largest perfect-square factor of the radicand. HOW TO ͙72 ͙9 и 8 ͙9 ͙8 3͙8 Not in simplest form Simplify: ͙Ϫ16 Copyright © Houghton Mifflin Company.
Solution on p. S2 Copyright © Houghton Mifflin Company. All rights reserved. 2 Exercises Objective A To write a rational number as a decimal Write as a decimal. Place a bar over the repeating digits of a repeating decimal. 1. 1 8 2. 7 8 3. 2 9 4. 8 9 5. 1 6 6. 5 6 7. 9 16 8. 15 16 9. 7 12 10. 11 12 11. 6 25 12. 14 25 13. 9 40 14. 21 40 15. 5 11 Objective B To convert among percents, fractions, and decimals 16. a. Explain how to convert a fraction to a percent. b. Explain how to convert a percent to a fraction.