1.5: Problem set

Rain or Shine: An Introduction to Soil Physical Properties and Processes (CRPSCI 036) · LibreTexts

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    From LibreTexts, under CC BY 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    1. Dimensional analysis
      • How many millimeters are in 1.31 inch?
      • The density of a soil sample was 1.47 g/cm3. This is equivalent to how many kg/m3?
      • 1 “acre furrow slice” is a volume of soil approximately 6.0 inches deep occupying exactly 1 acre (43,560 ft2) of land surface. Estimate the volume in m3.
    2. Manipulation of exponents
      • 106 × 102 = _____
      • (102)1/3 = _____
      • (10-5 × 103) ÷ 102 = _____
    3. Scientific notations
      • Write in scientific notations: 0.002413 and 24000
      • Express 3.937 * 10-2 as a decimal number
      • (7.2 × 105) ÷ (1.2 × 10-2) = _____
    4. Logarithms
      • Log10 50.0 = _____
      • ln (10.) = _____
    5. Algebraic manipulations. Solve for x.
      • 5x + 2 = 12
      • (12x + 24)/ 2 = 10 x
      • (9 x – 2)/ 3 = (4 x + 1)/ 2
    6. Significant figures
      • Give the number of significant figures for: 240, 0.024, 0.0240, 240.0
      • 2.540 – 1.31 = _____
      • (2.540 × 102) × (1.31 × 10) = _____

    This page titled 1.5: Problem set was last modified on Thu, 05 Jun 2025 02:11:18 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Tyson Oschner.