Beginning Algebra, 11th Edition

316 CHAPTER 5 Exponents and Polynomials

1.Compare the intensity of the 2004 Indonesia earthquake with the 2007 Peru

earthquake.

2.Compare the intensity of the 2002 Afghanistan earthquake with the 2008 China

earthquake.

3.Compare the intensity of the 1964 Alaska earthquake with the 2008 China

earthquake. (Hint: Use a calculator.)

4.Suppose an earthquake measures 7.2 on the Richter scale. How would the

intensity of a second earthquake compare if its Richter scale measure differed by

+3.0? By -1.0?

Complete solution available
on the Video Resources on DVD

5.3 EXERCISES

Concept Check Match each number written in scientific notation in Column I with the cor-

rect choice from Column II. Not all choices in Column II will be used.

III III

1. (a)
   (b)
   (c)
   (d)4.6* 10 -^5

4.6* 105

4.6* 104

4.6* 10 -^4 A.

B.

C.

D.

E. 4600

0.000046

0.00046

460,000

46,000 2. (a)

(b)

(c)

(d) 1 * 1010

1 * 108

1 * 106

1 * 109 A.1 billion

B.100 million

C.1 million

D.10 billion

E.100 billion

Concept Check Determine whether or not each number is written in scientific notation as

defined in Objective 1.If it is not, write it as such.

3. 
   
   
   
   4. 5.5,600,000 6.34,000
   
   
   
   


4. 
   
   
   
   8. 9.0.004 10.0.0007
      11.Explain what it means for a number to be written in scientific notation. Give examples.
      12.Explain how to multiply a number by a positive power of 10. Then explain how to multi-
      ply a number by a negative power of 10.
   
   
   
   

Write each number in scientific notation. See Example 1.

13.5,876,000,000 14.9,994,000,000 15.82,350 16.78,330

17.0.000007 18.0.0000004 19.0.00203 20.0.0000578

Write each number without exponents. See Example 2.

Perform the indicated operations. Write each answer (a )in scientific notation and (b)without

exponents. See Example 3.

41. 
    
    
    
    42. 
        
    
    
    
    


42. 15 104213 1022 44. 18 105212 1032

12 108213 1032 14 107213 1032

- 4 10 -^3 - 6 10 -^4 - 8.1 105 - 9.6 106

7.8 10 -^4 8.9 10 -^5 5.134 10 -^9 7.123 10 -^10

1 1012 1 107 6.21 100 8.56 100

7.5 105 8.8 106 5.677 1012 8.766 109

- 13,000,000 -25,000,000,000 -0.006 -0.01234

0.8 102 0.9 103

4.56 104 7.34 106

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