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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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1 x 10 = 10 10 X 10 = 100 10 x 100 = 1,000 The Metric System
is based on sets of 10. 1 x 10 = 10 10 X 10 = 100 10 x 100 = 1,000
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King Henry Doesn’t Usually Drink Chocolate Milk
The mnemonic: King Henry Doesn’t Usually Drink Chocolate Milk Memorize this! Mnemonic = memory device!
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How to convert within the Metric System:
Here’s a good device: 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: 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 Deca can also be dk or da
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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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What do these letters stand for??
k h d u d c m kilo- hecto- deca- (unit) deci- centi- milli- m l g
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How to use this device: Look at the problem. Look at the unit that has a number. On the line put your pencil on that unit. Move to new unit, counting jumps and noticing the direction of the jump. 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 line 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: 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: Move decimal to the left three jumps.
(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: Three jumps to the right! 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: Five jumps to the left! 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: Solve these five problems on your own. Show your answers to your teacher. You may choose to use any notes you have taken so far.
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Examples #5-9: (5) 35 mm = ____ cm (6) 14,443 L = ____ kL
(7) kg = ____ g (8)35.4 L = ____ mL (9)16 mm = ____ km
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One last caution: Be careful NOT
to count the spot you start from, where you put your pencil point. Only count the jumps!
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The End
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