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Standards of Measurement
© Copyright M. J. Krech. All rights reserved.
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Measurement Used to express the amount of something Unit
fixed amount or quantity used by everyone when measuring Measuring must be Reliable (dependable-gives you the same results on successive trials) Accurate (exact -conforms to a standard) Able to be Communicated (can be passed on in an understandable manner)
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The Metric System International System of Units (SI)
Global language for measurement Decimal based system of basic measurement which uses base units and prefixes Base Units Include Length = meter Volume = liter Mass = gram Time = second Temperature = degrees Celsius or Kelvin
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The Metric System International System of Units (SI)
Prefixes are used with base units Prefix Meaning Abbreviation Kilo one thousand k Hecto one hundred h Deka ten da Deci one tenth d Centi one hundredth c Milli one thousand m Metric system is made up of prefixes and base units Example: Centi + meter = centimeter Kilo liter = kiloliter
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How to convert within the metric system
METRIC CONVERSION How to convert within the metric system © Copyright M. J. Krech. All rights reserved.
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King Henry Drinks Utterly Delicious Chocolate Milk
Mnemonic Phrase King Henry Drinks Utterly Delicious Chocolate Milk Memorize this!
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How to convert within the Metric System
On your paper draw a line and add 7 tick marks:
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Next: Above the tick marks write the abbreviations for the King Henry mnemonic phrase: k h d u d c m m L g Write the units in the middle under the “U”.
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Let’s add the meter line:
k h d u d c m km hm dam m dm cm mm L g
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Let’s add the liter line:
k h d u d c m km hm dam m dm cm mm kL hL daL L dL cL mL g
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Let’s add the gram line:
k h d u d c m km hm dam m dm cm mm kL hL daL L dL cL mL kg hg dag g dg cg mg
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How to use this device: Look at the problem. Look at the unit
that has a number. On the device put your pencil on that unit. Move to new unit, counting jumps and noticing the direction of the jump. 3. Move decimal in original number the same # of spaces and in the same direction.
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Example #1: Look at the problem. 56 cm = _____ mm
Look at the unit that has a number. 56 cm On the device put your pencil on that unit. k h d u d c m km hm dam m dm cm mm
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Example #1: One jump to the right!
Move to new unit, counting jumps and noticing the direction of the jump! k h d u d c m km hm dam m dm cm mm One jump to the right!
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Example #1: Move decimal in original number the same # of spaces and in the same direction. 56 cm = _____ mm 56.0. One jump to the right! Move decimal one jump to the right. Add a zero as a placeholder.
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Example #1: 56 cm = _____ mm 56cm = 560 mm
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Example #2: Look at the problem. 7.25 L = ____ kL
Look at the unit that has a number L On the device put your pencil on that unit. k h d u d c m kL hL daL L dL cL mL
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Example #2: Move to new unit, counting jumps and
noticing the direction of the jump! k h d u d c m kL hL daL L dL cL mL Three jumps to the left!
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.007.25 Example #2: (3) Move decimal in original number the same
# of spaces and in the same direction. 7.25 L = ____ kL Three jumps to the left! Move decimal to the left three jumps. Add two zeros as placeholders.
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Example #2: 7.25 L = ____ kL 7.25 L = kL
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Example #3: Try this problem on your own: 45,000 g = ____mg
k h d u d c m kg hg dag g dg cg mg
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45,000.000. Example #3: k h d u d c m kg hg dag g dg cg mg
Three jumps to the right! 45,
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Example #3: 45,000 g = 45,000,000 mg Three jumps to the right!
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Example #4: Try this problem on your own: 5 cm = ____ km k h d u d c m
km hm dam m dm cm mm
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.00005. Example #4: k h d u d c m km hm dam m dm cm mm
Five jumps to the left!
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Example #4: 5 cm = km Five jumps to the left!
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Examples #5-9: (5) 35 mm = ____ cm (6) 14,443 L = ____ kL
(7) kg = ____ g (8) L = ____ mL (9) 16 mm = ____ km
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Examples #10-14: (10) 10 km = ____ m (11) 13 g = ____ kg
(12) 56 mm = ____ km (13) L = ____ mL (14) 2,050 mg = ____ g
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Common Conversions Length
1 ft = 12 in 1 yd = 3 ft 1 mi = ft 1 in = cm 1 km = mi
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Common Conversions Volume
1 qt = 2 pts 1 gal = 4 qts 1 L = qts 1 cc = 1 cm3 = 1 mL 1 L 1 QT
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Common Conversions Weight/Mass
1 lb = 16 oz 1 lb = g 1 kg = lbs
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Common Conversions Temperature
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Tool that offers a guarantee when dealing with conversions
Factor Label Method Tool that offers a guarantee when dealing with conversions Rules Start with what is given Use a string of conversion factors Divide-out labels (Ask yourself - did you get a guarantee? ) Do arithmetic (if necessary - round final answer to nearest 100th )
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