1. 1000 m = 1 km 100 m = 1 hm 10 m = 1 dam 1 m = 1 m 10 dm = 1 m
k = kilo-
h = hecto-
da = deka-
d = deci-
c = centi-
m = milli-
1000 m = 1 km
100 m = 1 hm
10 m = 1 dam
1 m = 1 m
10 dm = 1 m
100 cm = 1 m
1000 mm = 1 m

2. Write down the number that will be converted.
Set up a conversion factor.
Put the same unit as the number being converted on the denominator of the conversion factor.
Write the base unit (meters, liters, grams, etc.)
Place a “1” in front of the larger unit.
Determine how many of the smaller units can go into the larger unit. Place this number in front of the smaller unit.
Repeat steps 2 through 6 until the unit on the numerator matches the unit as the unit that you are solving for.
Multiply the equation out. You may find it easier to multiple all numerators together and all denominators together to create a fraction. Follow this by dividing the numerator by the denominator.

3. Write down the number that will be converted.
Example#1: Convert mg  g
Step 1: mg
Step 2: mg x _____
2) Set up a conversion factor.
3) Put the same unit as the number being converted on the denominator of the conversion factor.
Step 3: mg x _____ mg
Step 4: mg x _____
4) Write the base unit (meters, liters, grams, etc.) g mg
Step 5: mg x _____ 1 g
5) Place a “1” in front of the larger unit. mg

4. 6) Determine how many of the smaller units can go into the larger unit
6) Determine how many of the smaller units can go into the larger unit. Place this number in front of the smaller unit.
Example #1: Convert mg  g
Step 6:There are 1000 mg in one gram.
7) Repeat steps 2 through 6 until the unit on the numerator matches the unit as the unit that you are solving for.
12345 mg x _____ 1 g
1000 mg
Step 7: mg x _____ 1 g
1000 mg
8) Multiply the equation out. (You may find it easier to multiple all numerators together and all denominators together to create a fraction. Follow this by dividing the numerator by the denominator. )
Step 8: mg x _____
____ 1 g =
12345 g = g
1000 mg
1000

5. Write down the number that will be converted.
Example #2: Convert mg  dg
Step 1: mg
Step 2: mg x _____
2) Set up a conversion factor.
3) Put the same unit as the number being converted on the denominator of the conversion factor.
Step 3: mg x _____ mg
4) Write the base unit (meters, liters, grams, etc.)
Step 4: mg x _____ g mg
5) Place a “1” in front of the larger unit.
Step 5: mg x _____ 1 g mg

6. Example #2: Convert 98765 mg  dg
Determine how many of the smaller units can go into the larger unit. Place this number in front of the smaller unit.
Repeat steps 2 through 6 until the unit on the numerator matches the unit as the unit that you are solving for.
Multiply the equation out.
Step 6: There are 1000 mg in one gram.
98765 mg x _____ 1 g
1000 mg
Step 7: mg x _____ 1 g
1000 mg
Step 7-2 & 3: mg x _____
____ 1 g X
1000 mg g
Step 7-4, 5, & 6: mg x _____
____ 1 g 10 dg X
1000 mg 1 g
Answer = dg

7. 1) Write down the number that will be converted.
2) Set up a conversion factor.
3) Put the same unit as the number being converted on the denominator of the conversion factor.
4) Write the base unit (meters, liters, grams, etc.)
5) Place a “1” in front of the larger unit.
Example #3: Convert mm  hm
Step 1: mm
Step 2: mm x _____
Step 3: mm x _____ mm
Step 4: mm x _____ m mm
Step 5: mm x _____ 1 m mm

8. Example #3: Convert 98765 mm  hm
Step 6: There are 1000 mm in one meter.
6) Determine how many of the smaller units can go into the larger unit. Place this number in front of the smaller unit.
7) Repeat steps 2 through 6 until the unit on the numerator matches the unit as the unit that you are solving for.
8) Multiply the equation out.
76543 mm x _____ 1 m
1000 mm
Step 7: mm x _____ 1 m
1000 mm
Step 7-2 & 3: mm x _____
____ m 1 X
1000 mm m
Step 7-4, 5, & 6: mm x _____
____ 1 m 1 hm X
1000 mm
100 m
Answer = hm