1. Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 8 By Herbert I. Gross and Richard A. Medeiros next

2. The following five problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test. © 2007 Herbert I. Gross After you have worked on these problems check your answers against the ones that are given. Then read through our solutions and commentary in the Problem/Solution PowerPoint Presentation. next

3. Write each of the following numbers in scientific notation… (a) 900,000,000 (b) 782, 003 (c) 0.000000567 Problem #1 © 2007 Herbert I. Gross

4. next Use scientific notation to express the value of 12 × 10 13 × 9 × 10 -9. Problem #2 © 2007 Herbert I. Gross

5. next Write the value of 180,000(0.00007) 0.0000014 in scientific notation. Problem #3 © 2007 Herbert I. Gross

6. next a. Measured to the nearest tenth of a meter the side of a cube is 5 meters. What is the least its volume can be? Problem #4 © 2007 Herbert I. Gross

7. next b. Measured to the nearest tenth of a meter the side of a cube is 5 meters. What it is the greatest its volume can be? Problem #4 © 2007 Herbert I. Gross

8. next a. To the nearest millimeter (that is, to the nearest tenth of a centimeter), the length of a rectangle is 7.4 cm; and to the nearest centimeter the width of the rectangle is 5 cm. What is the least area the rectangle can have? Problem #5 © 2007 Herbert I. Gross

9. next b. To the nearest millimeter (that is, to the nearest tenth of a centimeter), the length of a rectangle is 7.4 cm; and to the nearest centimeter the width of the rectangle is 5 cm. What is the greatest area the rectangle can have? Problem #5 © 2007 Herbert I. Gross