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1 mile = ____________ yards 1 yard = ____________ feet 1 yard = ____________ inches

1760. 3. With a partner, try to complete the following conversions of our wonderful (??) English measurement system:. 36. 12. 16. 8. 1 mile = ____________ yards 1 yard = ____________ feet 1 yard = ____________ inches 1 foot = ____________ inches 1 pound = ____________ ounces

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1 mile = ____________ yards 1 yard = ____________ feet 1 yard = ____________ inches

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  1. 1760 3 With a partner, try to complete the following conversions of our wonderful (??) English measurement system: 36 12 16 8 1 mile = ____________ yards 1 yard = ____________ feet 1 yard = ____________ inches 1 foot = ____________ inches 1 pound = ____________ ounces 1 cup = ____________ ounces 1 cup = ____________ tablespoons 1 tablespoon = ____________ teaspoons Water freezes at ____________°F Water boils at ____________°F 16 3 32 212

  2. 1000 100 With a partner, try to complete the following conversions of the metric (SI) system: 10 1000 1000 1 km= ____________ m 1 m= ____________ cm 1 cm= ____________ mm 1 kg= ____________ g 1 L= ____________ mL 1 mL= ____________ cm3 Water freezes at ____________°C Water boils at ____________°C 1 0 100

  3. English vs. Metric • Which of the two systems of measurement were the easiest to use? • Why don’t you think that the United States hasn’t switched to the metric system like much of the rest of the world?

  4. The Standard Metric Units • The metric system is also referred to as the “International System” of units or SI (Standard International) Units • The standard units of measurement that are used in the metric system are: • For length: meter (m) • For mass: kilogram (kg) • For time: seconds (s) • For temperature: kelvin (K) • Add 273.15 ° to °C to get K

  5. Prefix multipliers • The SI system uses prefix multipliers with the standard units of measurement (m,kg,s) • These multipliers change the value of the unit by a power of 10 (Table 2.2, p. 23) • i.e. kilo means 1000 or 103 so 1 kilometer = 1000 meters

  6. Prefix multipliers hecto h 100 102 dekada 10 101

  7. kilo 1000 units 103 hecto 100 units 102 deka 10 units 101 deci .1 units 10-1 centi .01 units 10-2 milli .001 units 10-3 24 grams Convert to kilograms: Move decimal 3 place to the left Or take 24g / 103 = .024 kg Convert to milligrams: Move decimal 3 place to the right Or take 24g x 103 = 24,000 mg

  8. Practice • Convert 2,156 g to the following units: • kg • Mg • mg • cg 2.156 kg 0.002156 Mg 2,156,000 mg 215,600 cg

  9. Derived Units • Volume: Units of length to the 3rd power become volume (cm3, m3) • length x width x height • water displacement • We will commonly use liters to measure volume • 1 mL = 1 cm3 • 1 L = 1000 mL = 1000 cm3

  10. Derived Units • Density: the amount of “stuff” crammed into something (a ratio of its mass to volume) density = mass volume ***This formula can also help you figure out mass and volume when given the other values

  11. Volume/Density Practice • What is the volume of a cube that has a width of 2.5 cm? • How many mL would that be? • If the cube has a mass of 52.3 g, what is the cube’s density? • If a copper penny has a density of 8.92 g/mL and a mass of 2.81 g, what is it’s volume? 15.6 cm3 15.6 mL d = m / v d = 52.3g / 15.6 cm3 = 3.35 g/cm3 V = m / d V = 2.81g / 8.92 g/mL = 0.315 mL

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