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Patterns in Measurment Systems

Patterns in Measurment Systems. Converting in and between the Metric and Customary Systems. The Metric System. The metric system measures length, mass and capacity. length meters mass grams capacity liter. length mass capacity . Metric System Prefixes. kilo- 1,000 hecto- 100

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Patterns in Measurment Systems

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  1. Patterns in Measurment Systems Converting in and between the Metric and Customary Systems

  2. The Metric System

  3. The metric system measures length, mass and capacity. • length meters • mass grams • capacity liter length mass capacity

  4. Metric System Prefixes. • kilo- 1,000 • hecto- 100 • deka- 10 • unit 1 • deci- 0.1 • centi- 0.01 • milli- 0.001

  5. length (meters = m) • km = kilometers • m = meters • cm = centimeters • mm = millimeters

  6. mass (gram = g) • kg = kilograms • g = grams • cg = centigrams • mg = milligrams

  7. capacity (liter = L) • kL = kiloliters • L = liters • cL = centiliters • mL = milliliters

  8. × 1,000 × 100 × 10 km m cm mm ÷ 1,000 ÷ 100 ÷ 10 Conversion Shortcut. • Write this down!

  9. kilo- hecto- deka- unit deci- centi- milli- move the decimal to the right as you go down. move the decimal to the left as you go up.

  10. Conversions • If you go up on the chart the decimal will go to the left. • If you go down on the chart the decimal will go to the right.

  11. KingHenryDrankUnhealthyDarkChocolateMilk

  12. KingHenryDrankUnhealthyDarkChocolateMilk kilo- hecto- deka- unit deci- centi- milli-

  13. The Customary System

  14. Length 12 in = 1 ft 3 ft = 1 yd 1760 yd = 1 mi × 12 × 3 × 1760 in ft yd mi ÷ 12 ÷ 3 ÷ 1760

  15. Capacity 8 fl oz = 1 c 2 c = 1 pt 2 pt = 1 qt 4 qt = 1 gal × 8 × 2 × 2 × 4 fl oz c pt qt gal ÷ 8 ÷ 2 ÷ 2 ÷ 4

  16. Mass 16 oz = 1 lb 2000 lb = 1 T × 16 × 2000 oz lb T ÷ 16 ÷ 2000

  17. Converting Weight & Mass 1 kg ~ 2.2 lb. 1 lb. ~ 0.45 kg Length 1 in ~ 2.5 cm 1 cm ~ 0.4 in Capacity 1 L ~ 0.26 gal 1 gal ~ 3.79 L

  18. If I weighed 150 lb., figure out how much I would weigh in kg. First, pick one of the lb/kg ratios 1 kg ~ 2.2 lb. OR 1 lb. ~ 0.45 kg 1 kg ~ 2.2 lb. 1 lb. ~ 0.45 kg x x 150 lb. 150 lb. 150 = 2.2x 3. Place and x under the other unit. Solve as a proportion. 2. Place the value you know under the corresponding unit. 1x = 67.5 1. Write the ratio. ÷2.2 ÷2.2 x = 67.5 68.2 ~ x

  19. How much would a 30kg weight weigh in pounds?

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