270 CHAPTER 5 Number Theory and the Real Number System Scientific Notation on a Scientific Calculator Performing operations on numbers written in scientific notation can be done with most scientific calculators. Solution First write each number in scientific notation. = × × = ⎛ ⎝ ⎞ ⎠ ⎛ ⎝⎜ ⎞ ⎠⎟ = × = × − − − − − 0.000000000048 24,000,000,000 4.8 10 2.4 10 4.8 2.4 10 10 2.0 10 2.0 10 11 10 11 10 11 10 21 7 Now try Exercise 53 TECHNOLOGY TIP Scientific Notation on a Scientific Calculator Most scientific calculators have a scientific notation key labeled “Exp,” “EXP,” or “EE.” We will refer to the scientific notation key as EXP . The following keystrokes can be used to enter the number 3.7 10 .6 × Keystroke Calculator Display 3.7 3.7 EXP 3.7E 6 3.7E6 Your calculator may have some variations to the display shown here. The display 3.7E6 means × 3.7 10 .6 We will now use a scientific calculator to perform some computations using scientific notation. Example 10 Use Scientific Notation on a Calculator to Determine a Product Multiply × × − (3.7 10 )(2.1 10 ) 6 2 using a scientific calculator. Write the answer in decimal notation. Solution Our sequence of keystrokes is as follows: Keystroke Display 3.7 3.7 EXP 3.7E 6 3.7E6 × 3.7E6* 2.1 3.7E6*2.1 EXP 3.7E6*2.1E −( ) − 3.7E6*2.1E 2 − 3.7E6*2.1E 2 = 77700 Thus the product is 77,700. 7 Now try Exercise 49 Instructor Resources for Section 5.6 in MyLab Math • Objective-Level Videos 5.6 • Animation: Scientific Notation • PowerPoint Lecture Slides 5.6 • MyLab Exercises and Assignments 5.6
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