Worksheet
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 10
2
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
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