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Scientific Notation, Error & Logarithmic Scales (Grade 9)

Free printable Grade 9 measurement worksheet: scientific notation, percentage error, and logarithmic scales.

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Grade 9 · Math worksheet
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Date
Math

Measurement: Scientific Notation, Error & Logarithmic Scales

Convert between standard and scientific notation, simplify the product, find the percentage error, or answer the question about logarithmic scales.

  1. 1.
    Write 440,000,000 in scientific notation.
  2. 2.
    Write 56,000,000 in scientific notation.
  3. 3.
    Write 12,000,000 in scientific notation.
  4. 4.
    Write 270,000 in scientific notation.
  5. 5.
    Write 3.9 x 10^6 as a standard (ordinary) number.
  6. 6.
    Write 1.3 x 10^7 as a standard (ordinary) number.
  7. 7.
    Write 7.8 x 10^3 as a standard (ordinary) number.
  8. 8.
    Simplify: (3 x 10^4) x (4 x 10^3)
  9. 9.
    Simplify: (5 x 10^5) x (9 x 10^2)
  10. 10.
    Simplify: (5 x 10^2) x (9 x 10^2)
  11. 11.
    A length is measured as 163 cm, but the true length is 151 cm. Find the percentage error, rounded to 1 decimal place.
  12. 12.
    A length is measured as 190 cm, but the true length is 189 cm. Find the percentage error, rounded to 1 decimal place.
  13. 13.
    A length is measured as 101 cm, but the true length is 95 cm. Find the percentage error, rounded to 1 decimal place.
  14. 14.
    A length is measured as 87 cm, but the true length is 80 cm. Find the percentage error, rounded to 1 decimal place.
  15. 15.
    A length is measured as 137 cm, but the true length is 129 cm. Find the percentage error, rounded to 1 decimal place.
  16. 16.
    The Richter scale for earthquakes is logarithmic. If an earthquake measures 6, roughly how many times stronger is it than one measuring 5?
  17. 17.
    Why do scientists use a logarithmic scale, like the Richter or decibel scale, instead of a normal linear scale?
  18. 18.
    The pH scale is logarithmic. A solution with pH 4 is how many times more acidic than one with pH 6?
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