Scientific Notation Worksheet

Scientific Notation Worksheet

Scientific Notation Worksheet

Name: ____________________________
Class: ____________________________
Date: ____________________________

Quick Review

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Scientific notation is written as a × 10ⁿ, where 1 ≤ a < 10.

Example: 45,000 = 4.5 × 10⁴

A. Write in Scientific Notation

Convert each number to scientific notation.

  1. 5,000 = __________________________
  2. 8,000 = __________________________
  3. 12,000 = _________________________
  4. 45,000 = _________________________
  5. 72,000 = _________________________
  6. 300,000 = ________________________
  7. 650,000 = ________________________
  8. 1,200,000 = ______________________
  9. 4,500,000 = ______________________
  10. 9,800,000 = _____________________
  11. 56,000,000 = ____________________
  12. 125,000,000 = ___________________
  13. 700,000,000 = ___________________
  14. 3,400,000,000 = _________________
  15. 8,900,000,000 = _________________

B. Write Small Numbers in Scientific Notation

  1. 0.5 = ___________________________
  2. 0.08 = __________________________
  3. 0.006 = _________________________
  4. 0.0045 = ________________________
  5. 0.00072 = _______________________
  6. 0.00009 = _______________________
  7. 0.000006 = ______________________
  8. 0.0000035 = _____________________
  9. 0.00000081 = ____________________
  10. 0.000000045 = ___________________

C. Convert Scientific Notation to Standard Form

  1. 3 × 10² = _______________________
  2. 7 × 10³ = _______________________
  3. 4.5 × 10⁴ = _____________________
  4. 6.2 × 10⁵ = _____________________
  5. 8 × 10⁶ = _______________________
  6. 2.5 × 10⁷ = _____________________
  7. 9.1 × 10⁸ = _____________________
  8. 1.2 × 10⁹ = _____________________
  9. 5 × 10⁻² = ______________________
  10. 7 × 10⁻³ = ______________________
  11. 4.8 × 10⁻⁴ = ____________________
  12. 6.5 × 10⁻⁵ = ____________________
  13. 3 × 10⁻⁶ = ______________________
  14. 8.2 × 10⁻⁷ = ____________________
  15. 9.4 × 10⁻⁸ = ____________________

D. Fill in the Missing Exponent

  1. 5,000 = 5 × 10^___
  2. 70,000 = 7 × 10^___
  3. 900,000 = 9 × 10^___
  4. 3,000,000 = 3 × 10^___
  5. 0.05 = 5 × 10^___
  6. 0.007 = 7 × 10^___
  7. 0.0004 = 4 × 10^___
  8. 0.00008 = 8 × 10^___
  9. 2,500 = 2.5 × 10^___
  10. 0.00036 = 3.6 × 10^___

E. Choose the Correct Answer

  1. Which is the scientific notation for 25,000?
    a) 2.5 × 10⁴
    b) 25 × 10³
    c) 2.5 × 10⁵
  2. Which is the scientific notation for 600,000?
    a) 6 × 10⁴
    b) 6 × 10⁵
    c) 60 × 10⁴
  3. Which is the standard form of 4 × 10³?
    a) 400
    b) 4,000
    c) 40,000
  4. Which is the standard form of 7.2 × 10⁵?
    a) 72,000
    b) 720,000
    c) 7,200
  5. Which is the scientific notation for 0.0006?
    a) 6 × 10⁻³
    b) 6 × 10⁻⁴
    c) 6 × 10⁻⁵
  6. Which is the standard form of 3.5 × 10⁻³?
    a) 0.035
    b) 0.0035
    c) 0.00035
  7. Which number is written correctly in scientific notation?
    a) 45 × 10²
    b) 4.5 × 10³
    c) 0.45 × 10⁴
  8. Which is the scientific notation for 9,000,000?
    a) 9 × 10⁶
    b) 9 × 10⁷
    c) 90 × 10⁶
  9. Which is the standard form of 8.1 × 10⁻⁴?
    a) 0.081
    b) 0.0081
    c) 0.00081
  10. Which number is greater?
    a) 3 × 10⁴
    b) 3 × 10⁵
    c) They are equal.

F. True or False

  1. 4,000 = 4 × 10³. __________
  2. 0.005 = 5 × 10⁻³. __________
  3. 7.2 × 10⁴ = 72,000. __________
  4. 3 × 10⁻² = 0.03. __________
  5. 25 × 10³ is correctly written in scientific notation. __________
  6. The exponent is negative when the number is between 0 and 1. __________
  7. 6.5 × 10⁶ = 6,500,000. __________
  8. 8 × 10⁻⁵ = 0.00008. __________

G. Challenge Questions

  1. Write 45,600 in scientific notation.
  1. Write 0.000056 in scientific notation.
  1. Write 7.89 × 10⁷ in standard form.
  1. Write 2.34 × 10⁻⁵ in standard form.
  1. Express 350,000,000 in scientific notation.
  1. Express 0.00000092 in scientific notation.
  1. Which is greater: 5.2 × 10⁶ or 5.2 × 10⁵?

Total Questions: 75

Answer Key — Scientific Notation Worksheet

A. Write in Scientific Notation

  1. 5 × 10³
  2. 8 × 10³
  3. 1.2 × 10⁴
  4. 4.5 × 10⁴
  5. 7.2 × 10⁴
  6. 3 × 10⁵
  7. 6.5 × 10⁵
  8. 1.2 × 10⁶
  9. 4.5 × 10⁶
  10. 9.8 × 10⁶
  11. 5.6 × 10⁷
  12. 1.25 × 10⁸
  13. 7 × 10⁸
  14. 3.4 × 10⁹
  15. 8.9 × 10⁹

B. Small Numbers in Scientific Notation

  1. 5 × 10⁻¹
  2. 8 × 10⁻²
  3. 6 × 10⁻³
  4. 4.5 × 10⁻³
  5. 7.2 × 10⁻⁴
  6. 9 × 10⁻⁵
  7. 6 × 10⁻⁶
  8. 3.5 × 10⁻⁶
  9. 8.1 × 10⁻⁷
  10. 4.5 × 10⁻⁸

C. Scientific Notation to Standard Form

  1. 300
  2. 7,000
  3. 45,000
  4. 620,000
  5. 8,000,000
  6. 25,000,000
  7. 910,000,000
  8. 1,200,000,000
  9. 0.05
  10. 0.007
  11. 0.00048
  12. 0.000065
  13. 0.000003
  14. 0.00000082
  15. 0.000000094

D. Missing Exponent

  1. 3
  2. 4
  3. 5
  4. 6
  5. −2
  6. −3
  7. −4
  8. −5
  9. 3
  10. −4

E. Choose the Correct Answer

  1. a) 2.5 × 10⁴
  2. b) 6 × 10⁵
  3. b) 4,000
  4. b) 720,000
  5. b) 6 × 10⁻⁴
  6. b) 0.0035
  7. b) 4.5 × 10³
  8. a) 9 × 10⁶
  9. c) 0.00081
  10. b) 3 × 10⁵

F. True or False

  1. True
  2. True
  3. False
  4. True
  5. False
  6. True
  7. True
  8. True

G. Challenge Questions

  1. 4.56 × 10⁴
  2. 5.6 × 10⁻⁵
  3. 78,900,000
  4. 0.0000234
  5. 3.5 × 10⁸
  6. 9.2 × 10⁻⁷
  7. 5.2 × 10⁶