Dimensional Analysis Conversions: Miles to Kilometers, Liters, Centimeters to Millimeters

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Learn how to convert different units of measurements such as miles to kilometers, liters to liters, and centimeters to millimeters using dimensional analysis. Practice examples include converting distances for a half-marathon and calculating the volume of liquid consumed in nanoliters.

  • Dimensional Analysis
  • Conversions
  • Measurements
  • Units
  • Examples

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  1. Dimensional Analysis: continued Wednesday, August 19th, 2015

  2. Warm Warm- -Up Up 1.Convert 97.0 miles to km. 2.Convert 86 L to L. 3.Convert 980 cm to Mm.

  3. 1. Convert 97.0 miles to km. 1. Convert 97.0 miles to km. = 156.073 156 km 97.0 mi 1.609 km 1 mi

  4. 2 2. Convert 86 L to L. . Convert 86 L to L. 86 L 1 L = 0.000086 L 106 L

  5. 3 3. Convert 980 cm to Mm. . Convert 980 cm to Mm. whatttttt whatttttt 10-6Mm 1 m 980 cm 1 m 102cm = 0.0000098 Mm 980 cm 10-6 Mm 102 cm = 0.0000098 Mm

  6. A little bit harder now Sheila ran a half-marathon (13.1 miles). She wants to know how many centimeters she ran.

  7. Convert 13.1 miles to cm. Convert 13.1 miles to cm. 102 cm = 2110000 cm 10-3 km 1 m 13.1 mi 1.609 km 1 m 1 mi

  8. Mark drank 7.6 ounces of gatorade. He wants to know how many nanoliters he drank. (there are 128 oz in one gallon).

  9. Convert 7.6 ounces to Convert 7.6 ounces to nL nL. . 109 nL = 2.2 x 108 nL 7.6 oz 1 gal 1 L 128 oz 0.264 gal 1 L

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