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Order numbers in scientific notation with negative exponents

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Compare the powers of 10 first. If they are equal, compare the numbers in front. Write the numbers as 4.7 × 10^3.

  1. Write these numbers from least to greatest: 1.1 × 10⁴, 2.6 × 10⁵, 2.8 × 10⁴
  2. Write these numbers from least to greatest: 5.3 × 10⁷, 8.5 × 10¹, 8.3 × 10⁻²
  3. Write these numbers from least to greatest: 5.2 × 10⁻⁸, 6.7 × 10⁸, 5.3 × 10⁻²
  4. Write these numbers from least to greatest: 6.3 × 10⁻⁴, 4.1 × 10¹, 2.6 × 10⁻⁵
  5. Write these numbers from least to greatest: 4.5 × 10⁻³, 2.2 × 10⁻¹, 4.5 × 10⁸, 4.4 × 10²
  6. Write these numbers from least to greatest: 7.1 × 10⁴, 6.6 × 10⁻⁶, 5.6 × 10³, 5.9 × 10⁻⁷
  7. Write these numbers from least to greatest: 1.4 × 10³, 5.7 × 10⁻⁹, 5.4 × 10⁸, 6.9 × 10¹
  8. Write these numbers from least to greatest: 6 × 10⁸, 3.4 × 10⁻³, 8.1 × 10², 4.4 × 10⁻⁹
  9. Write these numbers from least to greatest: 4.7 × 10⁻⁹, 1.5 × 10⁴, 1.8 × 10⁻⁷, 4.1 × 10⁻⁸
  10. Write these numbers from least to greatest: 2.6 × 10¹⁰, 5.9 × 10⁴, 5.7 × 10⁵, 4.5 × 10¹
  11. Write these numbers from least to greatest: 3.8 × 10⁻³, 3.1 × 10⁴, 7.2 × 10⁵, 4.7 × 10⁴
  12. Write these numbers from least to greatest: 6.3 × 10⁻⁶, 4.4 × 10⁷, 1.1 × 10⁻⁴, 3.6 × 10⁻²
  13. Write these numbers from least to greatest: 8.6 × 10², 5.3 × 10⁻², 7.6 × 10¹⁰, 7.8 × 10⁻⁵, 6.2 × 10¹⁰
  14. Write these numbers from least to greatest: 7.1 × 10⁻⁴, 5.1 × 10⁴, 2.2 × 10⁻¹⁰, 8.2 × 10⁵, 5.2 × 10⁻¹¹
  15. Write these numbers from least to greatest: 8.8 × 10⁻⁷, 1.1 × 10⁴, 6.1 × 10⁴, 1.1 × 10⁻³, 4 × 10¹⁰
  16. Write these numbers from least to greatest: 8.7 × 10⁻¹¹, 7.1 × 10⁻¹⁰, 4.1 × 10⁷, 3.9 × 10⁻¹⁰, 4 × 10³
  17. Write these numbers from least to greatest: 8.1 × 10¹³, 4.5 × 10⁶, 2.6 × 10¹, 7.4 × 10⁻¹³, 7.3 × 10⁻⁹, 5.3 × 10³
  18. Write these numbers from least to greatest: 7.5 × 10⁻¹², 4.7 × 10³, 2.5 × 10⁻¹¹, 7.3 × 10³, 5 × 10⁻¹¹, 3.6 × 10⁸
  19. Write these numbers from least to greatest: 7.8 × 10⁻¹¹, 7.1 × 10⁻², 8.8 × 10¹², 6.9 × 10⁻⁹, 7.8 × 10¹², 6.1 × 10¹
  20. Write these numbers from least to greatest: 6.2 × 10³, 6.7 × 10⁸, 1 × 10¹³, 4.9 × 10⁵, 1.7 × 10⁵, 3.2 × 10⁻¹⁴
More free practice: fieldbooklearning.com/au/practice/year-8/order-numbers-in-scientific-notation-with-negative-exponents/

Answer key: Order numbers in scientific notation with negative exponents

  1. 1.1 × 10^4, 2.8 × 10^4, 2.6 × 10^5
  2. 8.3 × 10^-2, 8.5 × 10^1, 5.3 × 10^7
  3. 5.2 × 10^-8, 5.3 × 10^-2, 6.7 × 10^8
  4. 2.6 × 10^-5, 6.3 × 10^-4, 4.1 × 10^1
  5. 4.5 × 10^-3, 2.2 × 10^-1, 4.4 × 10^2, 4.5 × 10^8
  6. 5.9 × 10^-7, 6.6 × 10^-6, 5.6 × 10^3, 7.1 × 10^4
  7. 5.7 × 10^-9, 6.9 × 10^1, 1.4 × 10^3, 5.4 × 10^8
  8. 4.4 × 10^-9, 3.4 × 10^-3, 8.1 × 10^2, 6 × 10^8
  9. 4.7 × 10^-9, 4.1 × 10^-8, 1.8 × 10^-7, 1.5 × 10^4
  10. 4.5 × 10^1, 5.9 × 10^4, 5.7 × 10^5, 2.6 × 10^10
  11. 3.8 × 10^-3, 3.1 × 10^4, 4.7 × 10^4, 7.2 × 10^5
  12. 6.3 × 10^-6, 1.1 × 10^-4, 3.6 × 10^-2, 4.4 × 10^7
  13. 7.8 × 10^-5, 5.3 × 10^-2, 8.6 × 10^2, 6.2 × 10^10, 7.6 × 10^10
  14. 5.2 × 10^-11, 2.2 × 10^-10, 7.1 × 10^-4, 5.1 × 10^4, 8.2 × 10^5
  15. 8.8 × 10^-7, 1.1 × 10^-3, 1.1 × 10^4, 6.1 × 10^4, 4 × 10^10
  16. 8.7 × 10^-11, 3.9 × 10^-10, 7.1 × 10^-10, 4 × 10^3, 4.1 × 10^7
  17. 7.4 × 10^-13, 7.3 × 10^-9, 2.6 × 10^1, 5.3 × 10^3, 4.5 × 10^6, 8.1 × 10^13
  18. 7.5 × 10^-12, 2.5 × 10^-11, 5 × 10^-11, 4.7 × 10^3, 7.3 × 10^3, 3.6 × 10^8
  19. 7.8 × 10^-11, 6.9 × 10^-9, 7.1 × 10^-2, 6.1 × 10^1, 7.8 × 10^12, 8.8 × 10^12
  20. 3.2 × 10^-14, 6.2 × 10^3, 1.7 × 10^5, 4.9 × 10^5, 6.7 × 10^8, 1 × 10^13