Metric Conversions #1 Printer Friendly Version
After reading through the steps to work these problems, examine the example to verify your understanding.
• Step 1: rewrite the given expression in scientific notation without any prefixes.
• Step 2: determine the exponent required for the desired outcome.
• Step 3: subtract the exponent needed in Step 2 from the final exponent in Step 1.
628 nm = ? μm
Step 1: 628 nm = 6.28 x 102 x 10-9 m = 6.28 x 10-7 m
Step 2: 1 μm = 10-6 m
Step 3: -7 - (-6) = -1 [that is, what number must be added to -6 to get -7?]
Step 4: 628 nm = 6.28 x 10-1 μm

Check: -1 + (-6) = -7
Let the laws of exponents do your work for you!

Directions: Convert each of the given quantities into the unit specified. Each answer should be expressed in scientific notation.

 Question 1 a. 3.82 dm = ? meters

 b. 3.82 dm = ? mm

 Question 2 a. 38.2 Mm = ? meters

 b. 38.2 Mm = ? km

 Question 3 a. 382 cm = ? meters

 b. 382 cm = ? mm

 Question 4 a.  3820 mm = ? meters

 b.  3820 mm = ? cm

 Question 5 a.  1.32 mg = ? grams

 b.  1.32 mg = ? μg

 Question 6 a.  0.132 cg = ? grams

 b.  0.132 cg = ? dg

 Question 7 a.  0.0132 kg = ? grams

 b.  0.0132 kg = ? Mg

 Question 8 a.  0.00132 mg = ? grams

 b.  0.00132 mg = ? cg