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Using the Metric System. Braintree High School. Identifying Appropriate Metric Measures. Choose an appropriate metric unit. Height of a classroom chalkboard? Meter; the height of a chalkboard is about twice the distance from the floor to the doorknob. Mass of a backpack filled with books?
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Using the Metric System Braintree High School
Choose an appropriate metric unit. • Height of a classroom chalkboard? • Meter; the height of a chalkboard is about twice the distance from the floor to the doorknob. • Mass of a backpack filled with books? • Kilogram; a backpack with textbooks is many times the mass of our math book. • Capacity of a birdbath? • Liter; several quart bottles of water will fill a birdbath.
Choose an appropriate metric unit. • Length of a broom. • Centimeter. Meter could work but 2 meters is overkill for a broom. So centimeters will give us a more accurate measurement. • Mass of an candy bar. • Grams. A candy bar has a mass of several grams but is much less than 1 kilogram. • Mass of a horse. • Kilograms. A horse is very heavy, so grams are too small. • Capacity of a car’s gas tank. • Liter. A gas tank holds several liters, so milliliters are too small.
Choose a reasonable estimate. Explain. • Capacity of a juice box: 200 mL or 200 L? • 200 mL: juice boxes hold less than a quart of milk. • Length of a new pencil: 15 cm or 15 m? • 15 cm: the length of a pencil would be about 15 widths of a thumbnail. • Mass of a small tube of toothpaste: 100 g or 100 kg? • 100 g: the mass is about the same as a box of paper clips.
Choose a reasonable estimate. Explain. • The distance between two cities: 50 mm or 50 km? • 50 km, because a km is about one half of a mile. • Amount of liquid that an eyedropper holds: 10 mL or 10 L? • 10 mL, 10 liters is what a gasoline tank would hold, 10 mL is only a few drops.
Converting Units • Metric system uses a decimal system to relate different units to each other. • You can convert from one unit to another by multiplying or dividing by 10, 100, 1000, and so on. • Names of units work on PREFIXES.
Going From One Unit To Another • To convert from one unit to another in the metric system, find the relationship between the two units. • Is it length? Capacity (or volume)? Mass (weight)? • Multiply if you’re going from a large unit to small unit. There will be more smaller units than bigger units. • Divide if you’re going from a small unit to a large unit. There will be less bigger units than smaller units.
So lets try it… • 4.35 L = ___ mL 4.35 L • 1,000 = 4,350 4.35 L = 4,350 mL • 914 cm = ___ m 914 cm 100 = 9.14 914 cm = 9.14 m
Complete each statement. • 35 mL = ___ L 35 mL 1000 = 0.035 35 mL = 0.035 L • ___ g = 250 kg ___ g = 250 kg • 1000 250,000 g = 250 kg • ___ cm = 68 m ___ cm = 68 m • 100 6,800 cm = 68 m