Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ Lesson 5 Homework Practice Compute with Scientific Notation Evaluate each expression. Express the result in scientific notation. 1. (50,000)(4.2 × 10 2 ) 2. (9.3 × 10 5 )(1.26 × 10 -2 ) 3. (2.9 × 10 4 )(1.5 × 10 -6 ) 4. (6.7 × 10 -1 )(40,000) 5. (5.5 × 10 3 )(7 × 10 3 ) 6. (4.3 × 10 6 )(2.1 × 10 -2 ) 7. 7.6 × 10 2 − 3.8 8. 2.38 × 10 −4 − 1.7 × 10 3 9. 1.44 × 10 4 − 6000 10. 6.03 × 10 14 − 9 × 10 -8 11. 8.05 × 10 3 − 2.3 × 10 2 12. 4.8 × 10 -1 − 5 × 10 7 13. (1.6 × 10 2 ) + (2.29 × 10 3 ) 14. (9.38 × 10 1 ) + (5 × 10 3 ) 15. (3.5 × 10 7 ) - (1.7 × 10 6 ) 16. (8.88 × 10 -1 ) - (1.45 × 10 -2 ) 17. (63,000) + (3.1 × 10 3 ) 18. (7.14 × 10 4 ) + (12,000) 19. (6.35 × 10 8 ) - (7.9 × 10 8 ) 20. (4 × 10 7 ) - (2 × 10 5 ) 21. (8100) + (3.0 × 10 3 ) 22. (1.06 × 10 4 ) + (1.3 × 10 4 ) 23. (5.4 × 10 6 ) - (147,000) 24. (8.19 × 10 2 ) - (7.15 × 10 1 ) 25. The distance from Earth to the Sun is 9.3 × 10 7 miles, and the distance from Earth to Mars is 4.6 × 10 7 miles. How many more miles is it from Earth to the Sun than Earth to Mars? 26. The area of the United States (including water) is approximately 3.8 × 10 6 sq. miles. The area of Alaska (including water) is approximately 6.6 × 10 5 sq. miles. About how many times the number of square miles of Alaska is the United States? 2.1 × 10 7 1.1718 × 10 4 4.35 × 10 -2 2.68 × 10 4 3.85 × 10 7 9.03 × 10 4 2 × 10 2 1.4 × 10 -7 2.4 6.7 × 10 21 3.5 × 10 1 9.6 × 10 -9 2.45 × 10 3 5.0938 × 10 3 3.33 × 10 7 6.61 × 10 4 8.34 × 10 4 8.735 × 10 -1 −1.55 × 10 8 3.98 × 10 7 1.11 × 10 4 2.36 × 10 4 5.253 × 10 6 4.7 × 10 7 miles 5.76 × 10 1 times 7.475 × 10 2 Math Accelerated • Chapter 4 Powers and Roots
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NAME ___________________________________________________ DATE _____________________ PERIOD __________
Lesson 5 Homework PracticeCompute with Scientific Notation
Evaluate each expression. Express the result in scientific notation.
1. (50,000)(4.2 × 102) 2. (9.3 × 105)(1.26 × 10-2)
3. (2.9 × 104)(1.5 × 10-6) 4. (6.7 × 10-1)(40,000)
5. (5.5 × 103)(7 × 103) 6. (4.3 × 106)(2.1 × 10-2)
7. 7.6 × 102 − 3.8 8. 2.38 × 10−4
− 1.7 × 103
9. 1.44 × 10
4
− 6000 10. 6.03 × 10
14
− 9 × 10-8
11. 8.05 × 103 − 2.3 × 102 12. 4.8 × 10-1
− 5 × 107
13. (1.6 × 102) + (2.29 × 103) 14. (9.38 × 101) + (5 × 103)
15. (3.5 × 107) - (1.7 × 106) 16. (8.88 × 10-1) - (1.45 × 10-2)
17. (63,000) + (3.1 × 103) 18. (7.14 × 104) + (12,000)
19. (6.35 × 108) - (7.9 × 108) 20. (4 × 107) - (2 × 105)
21. (8100) + (3.0 × 103) 22. (1.06 × 104) + (1.3 × 104)
23. (5.4 × 106) - (147,000) 24. (8.19 × 102) - (7.15 × 101)
25. The distance from Earth to the Sun is 9.3 × 107 miles, and the distance from Earth to Mars is 4.6 × 107 miles. How many more miles is it from Earth to the Sun than Earth to Mars?
26. The area of the United States (including water) is approximately 3.8 × 106 sq. miles. The area of Alaska (including water) is approximately 6.6 × 105 sq. miles. About how many times the number of square miles of Alaska is the United States?
2.1 × 107 1.1718 × 104
4.35 × 10-2 2.68 × 104
3.85 × 107 9.03 × 104
2 × 102 1.4 × 10-7
2.4 6.7 × 1021
3.5 × 101 9.6 × 10-9
2.45 × 103 5.0938 × 103
3.33 × 107
6.61 × 104 8.34 × 104
8.735 × 10-1
−1.55 × 108 3.98 × 107
1.11 × 104 2.36 × 104
5.253 × 106
4.7 × 107 miles
5.76 × 101 times
7.475 × 102
Program: Pre-Algebra
Vendor: Aptara
Component: ANC_C04_L5
Grade: AMPDF Pages
Math Accelerated • Chapter 4 Powers and Roots
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