How to convert within the metric system METRIC CONVERSION How to convert within the metric system © Copyright 2003 - 2004. M. J. Krech. All rights reserved.
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
King Henry Doesn’t Usually Drink Chocolate Milk The mnemonic: King Henry Doesn’t Usually Drink Chocolate Milk Memorize this! Mnemonic = memory device!
How to convert within the Metric System: Here’s a good device: On your paper there is a line and 7 tick marks:
Next: Above the tick marks write the King Henry mnemonic using a different color for each word: King Henry Doesn’t Usually Drink Chocolate Milk
What does the first letter of each represent? King Henry Doesn’t Usually Drink Chocolate Milk Kilo- Hecto- Deka- Deci- Centi- Milli- UNIT!
Now, underline the first letter of each prefix, and write the single letter below! King Henry Doesn’t Usually Drink Chocolate Milk Kilo- Hecto- Deka- Deci- Centi- Mili- UNIT! k h da d c m
What would we put under Unit?? King Henry Doesn’t Usually Drink Chocolate Milk Kilo- Hecto- Deka- Deci- Centi- Mili- UNIT! k h da d c m m l g
Let’s add the meter line King Henry Doesn’t Usually Drink Chocolate Milk Kilo- Hecto- Deka- Deci- Centi- Mili- UNIT! k h da d c m km hm dm cm mm dam m l g
Let’s add the liter line King Henry Doesn’t Usually Drink Chocolate Milk Kilo- Hecto- Deka- Deci- Centi- Mili- UNIT! k h da d c m hm dm mm km dam m l g cm dl cl kl hl ml dal
Let’s add the gram line King Henry Doesn’t Usually Drink Chocolate Milk Kilo- Hecto- Deka- Deci- Centi- Mili- UNIT! k h da d c m km hm dm dam m l g cm mm dl cl kl hl ml dal kg cg hg dag dg mg
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.
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
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!
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.
Example #1: 56 cm = _____ mm 56cm = 560 mm
Example #2: Look at the problem. 7.25 L = ____ kL Look at the unit that has a number. 7.25 L On the device put your pencil on that unit. k h d u d c m kl hl dal L dl cl ml
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!
.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 .007.25 Three jumps to the left! Move decimal to the left three jumps. Add two zeros as placeholders.
Example #2: 7.25 L = ____ kL 7.25 L = .00725 kL
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
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! 45,000.000.
Example #3: 45,000 g = 45,000,000 mg Three jumps to the right!
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
.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! .00005.
Example #4: 5 cm = .00005 km Five jumps to the left!
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.
Examples #5-9: (5) 35 mm = ____ cm (6) 14,443 L = ____ kL (7) 0.00056 kg = ____ g (8)35.4 L = ____ mL (9)16 mm = ____ km
One last caution: Be careful NOT to count the spot you start from, where you put your pencil point. Only count the jumps!
The End