Scientific Notation, Error & Logarithmic Scales (Grade 10)
Free printable Grade 10 measurement worksheet: scientific notation, percentage error, and logarithmic scales.
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Grade 10 · Math worksheet
Name
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.Write 8,000,000,000 in scientific notation.
- 2.Write 790,000 in scientific notation.
- 3.Write 360,000 in scientific notation.
- 4.Write 380,000 in scientific notation.
- 5.Write 6.9 x 10^3 as a standard (ordinary) number.
- 6.Write 4.1 x 10^5 as a standard (ordinary) number.
- 7.Write 5.7 x 10^7 as a standard (ordinary) number.
- 8.Simplify: (3 x 10^4) x (9 x 10^4)
- 9.Simplify: (1 x 10^5) x (7 x 10^4)
- 10.Simplify: (2 x 10^5) x (1 x 10^5)
- 11.A length is measured as 68 cm, but the true length is 71 cm. Find the percentage error, rounded to 1 decimal place.
- 12.A length is measured as 178 cm, but the true length is 179 cm. Find the percentage error, rounded to 1 decimal place.
- 13.A length is measured as 39 cm, but the true length is 35 cm. Find the percentage error, rounded to 1 decimal place.
- 14.A length is measured as 161 cm, but the true length is 151 cm. Find the percentage error, rounded to 1 decimal place.
- 15.A length is measured as 206 cm, but the true length is 197 cm. Find the percentage error, rounded to 1 decimal place.
- 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.Why do scientists use a logarithmic scale, like the Richter or decibel scale, instead of a normal linear scale?
- 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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