You must also know… …how to convert within the Metric System. Here’s a good device: On your paper draw a line and add 7 tick marks:

Next: k h d u d c m m l g Write the units in the middle under the “U”. Above the tick marks write the abbreviations for the King Henry pneumonic: k h d u d c m m l g Write the units in the middle under the “U”.

Let’s add the meter line: k h d u d c m km hm dam m dm cm mm L g

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

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

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.

Example #1: k h d u d c m km hm dam m dm cm mm 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

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: (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!

Use ladder method to solve Use ladder method to solve. 1000 mg = _______ g 160 cm = _______ mm 109 g = _______ kg 1 L = _______ mL 14 km = _______ m 250 m = _______ km Compare using <, >, or =. 56 cm ___ 6 m 7 g ____ 698 mg

Answers 1000 mg = 1 g 160 cm = 1600 mm 109 g = 0.109 kg 1 l = 1000 ml 14 km = 14000 m 250 m = .250 km 56 cm < 6 m 7 g > 698 mg

Quiz: Part One Write the correct abbreviation for each metric unit. 1) Kilogram _____ 2) Meter _____ 3) Gram _____ 4) Milliliter _____ 5) Millimeter _____ 6) Liter _____ 7) Kilometer _____ 8) Centimeter _____ 9) Milligram _____

Quiz: Part Two Try these conversions, using the ladder method. 1) 2000 mg = _______ g 6) 5 L = _______ mL 11) 16 cm = _______ mm 2) 104 km = _______ m 7) 198 g = _______ kg 12) 2500 m = _______ km 3) 480 cm = _____ m 8) 75 mL = _____ L 13) 65 g = _____ mg 4) 5.6 kg = _____ g 9) 50 cm = _____ m 14) 6.3 cm = _____ mm 5) 8 mm = _____ cm 10) 5.6 m = _____ cm 15) 120 mg = _____ g

Fundamental Units of Measure Metric system or SI Under the SI or International System of Units, the fundamental unit of length is meter, the fundamental unit of mass is kilogram, the fundamental unit of time is second, the fundamental unit of electric current is ampere, the fundamental unit of temperature is kelvin

English System or FPS Foot, pound and second are fundamental units of length, weight, and time under the English system or the F.P.S. system. The foot is one- third of the yard, which is now defined in terms of a meter (1 yard = 0.9144 meters). The pound is defined in terms of the gravitational attraction of the Earth at a particular place for a standard body. The second is the same as in the SI system of units. 1 yard = 3 feet = 36 inches. 1 mile = 5280 feet. 1 pound = 16 ounces. 1 gallon = 4 quarts = 8 pints. Slug is the unit of mass under this system.

1 yard = 3 feet = 36 inches. 1 mile = 5280 feet. 1 pound = 16 ounces. 1 gallon = 4 quarts = 8 pints. Slug is the unit of mass under this system.

Metric Conversions Sometimes you need to convert from one metric unit to another metric unit, or from metric units to English units, and vice versa.

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