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The metric system employs the kilogram as the fundamental unit of mass, with grams and milligrams as commonly used subdivisions. One kilogram equals 1,000 grams, and one gram equals 1,000 milligrams. Everyday items like a pen cap or a Smartie candy exemplify these measurements. Scientific notation is beneficial for expressing large or small masses, such as a tennis shoe weighing 963 grams, which can be written as 9.63 x 10^5 mg and 9.63 x 10^-1 kg. Understanding these conversions simplifies working with metric mass.
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The unit used to weigh objects in the Metric System is based on the kilogram. • The most commonly used units are the kilogram, the gram, and the milligram
1 gram (g) = 1000 milligrams (mg) • 1 kilogram (kg) = 1000 grams (g) • How many milligrams are in a kilogram?
References for a gram • A gram can be equal to a: Pen cap on a plastic Bic pen Raisin Single Smartie candy • A brand new US nickel will have a mass of 5 grams
Scientific Notation • There can be some BIG or small numbers used in the metric system, so to save space, you can use scientific notation
Example A tennis shoe has a mass of 963 grams. In milligrams, it is 963,000 mg, so in scientific notation we would write it as: 9.63 x 105 mg
Using the same shoe, how many kilograms does it weigh? .963 kg In scientific notation, it would be written: 9.63 x 10-1 kg