Unit Conversions with Dimensional Analysis
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Questions and Answers

What is the result of converting 20.33 cm to meters?

  • 20.33 m
  • 2.0330 m
  • 0.2033 m (correct)
  • 2.033 m

    • What is the equivalent of 12.06 liters in centiliters?

  • 12.06 cL
  • 1206 cL (correct)
  • 120.6 cL
  • 1.206 cL

    • How many grams are in 32.27 kg?

  • 32270 g (correct)
  • 32000 g
  • 322.7 g
  • 3207 g

    • Convert 13.09 meters to centimeters.

    <p>1309 cm</p> Signup and view all the answers

    How many meters are there in 3.47 mm?

    <p>0.00347 m</p> Signup and view all the answers

    Convert 33.81 kg to grams.

    <p>33810 g</p> Signup and view all the answers

    What is the conversion of 9.92 kL to liters?

    <p>992 L</p> Signup and view all the answers

    Convert 2.61 g to milligrams.

    <p>2610 mg</p> Signup and view all the answers

    How many milligrams are in 24.37 g?

    <p>24370 mg</p> Signup and view all the answers

    What is the conversion of 28.77 liters to centiliters?

    <p>2877 cL</p> Signup and view all the answers

    Study Notes

    Unit Conversions with Dimensional Analysis

    • Dimensional analysis involves converting units by using conversion factors.
    • Conversion factors are ratios that express how many of one unit are equal to another.

    Common Conversions

    • Centimeters to Meters:

      • 1 cm = 0.01 m
      • Conversion example: 20.33 cm = 0.2033 m

    • Liters to Centiliters:

      • 1 L = 100 cL
      • Conversion example: 12.06 L = 1206 cL

    • Kilograms to Grams:

      • 1 kg = 1000 g
      • For 32.27 kg, multiplication by 1000 yields 32,270 g.

    • Meters to Centimeters:

      • 1 m = 100 cm
      • Conversion for 13.09 m results in 1309 cm.

    • Millimeters to Meters:

      • 1 mm = 0.001 m
      • For 3.47 mm, the conversion requires division by 1000.

    • Kilograms to Grams (alternate example):

      • For 33.81 kg, the conversion to grams equals 33,810 g.

    • Kiloliters to Liters:

      • 1 kL = 1000 L
      • Therefore, 9.92 kL converts to 9,920 L.

    • Grams to Milligrams:

      • 1 g = 1000 mg
      • For example, 2.61 g equals 2,610 mg.

    Additional Conversions

    • Grams to Milligrams:

      • Conversion of 24.37 g results in 24,370 mg.

    • Liters to Centiliters:

      • 28.77 L converts to 2,877 cL as there are 100 cL in a liter.

    • Milliliters to Liters:

      • 1 mL = 0.001 L
      • Conversion for 22.04 mL results in 0.02204 L.

    • Liters to Milliliters:

      • 1 L = 1000 mL
      • Thus, 9.42 L converts to 9,420 mL.

    • Cubic Centimeters to Milliliters:

      • 1 cm³ = 1 mL
      • Hence, 20.03 cm³ equals 20.03 mL.

    • Kilograms to Milligrams:

      • Conversion factor is 1 kg = 1,000,000 mg.
      • For 1.47 kg, it equals 1,470,000 mg.

    • Milliliters to Centiliters:

      • 1 mL = 0.1 cL
      • For 7.18 mL, the conversion yields 0.718 cL.

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    Unit Conversions with Dimensional Analysis PDF

    Description

    This quiz focuses on mastering unit conversions using dimensional analysis. Students will practice converting centimeters to meters and liters to centiliters, honing their skills in handling metric units effectively. Perfect for reinforcing knowledge in measurement conversions.

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