PhysicsLAB: Metric Conversions #1

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.
Step 4: write out your answer in scientific notation

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