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Units, Scientific Notation, and Significant Figures

Problems

Units

Scientific Notation

Problem : How many yards are in a 5 km run?

It is known that 1m = 1.095 yards, and there are 1000 km in 1 m. Therefore the dimensional analysis is set up with this information as follows:

Please notice that the units cancel themselves out. This is very important.

Problem : How many liters are there in a gallon?

There are 4 quarts in a gallon, and 1 L = 1.057 quarts

Problem : What is the height in cm of a 5'6.0'' woman?

Known: There are 12 inches in a foot, and 2.54 cm = 1 inch.

The woman's height is inches is 60" + 6.0" = 66.0"

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