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Chemical Conversions and Problems - Germanna Community College

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Example 2: How many seconds are in 34 minutes?<br />

Example 3: How many minutes are in 25 seconds?<br />

Often in conversion problems, you will have to use more than one conversion factor<br />

(known relationship) as in Example 4. Just take these multi-step conversions one step at<br />

a time, canceling out all units except the one you want to end up with.<br />

Example 4: How many centimeters are in 10 miles?<br />

Known relationships: 1 mi = 5280 ft, 1 ft = 12 in, <strong>and</strong> 1 in = 2.54 cm<br />

(If you need to review how to put numbers in scientific notation, see our<br />

h<strong>and</strong>out Exponents, Radicals, <strong>and</strong> Scientific Notation.)<br />

Another type of common conversion problem deals with conversions between some<br />

unit <strong>and</strong> a prefix of that unit such as a conversion from meters to millimeters. The following<br />

table provides a list of some widely used prefixes. For example, 1 gigameter (Gm) =<br />

1,000,000,000 meters (m) or 10 9 m, <strong>and</strong> 1 microinch (μm) = 0.000001 in or 10 -6 in.<br />

Prefix<br />

Value<br />

Name Symbol Numerical Exponential<br />

giga G 1,000,000,000 10 9<br />

mega M 1,000,000 10 6<br />

kilo k 1,000 10 3<br />

hector h 100 10 2<br />

deka da 10 10 1<br />

deci d 0.1 10 -1<br />

centi c 0.01 10 -2<br />

milli m 0.001 10 -3<br />

micro μ 0.000001 10 -6<br />

nano n 0.000000001 10 -9<br />

pico p 0.000000000001 10 -12<br />

femto f 0.000000000000001 10 -15<br />

Provided by Tutoring Services 2 <strong>Chemical</strong> <strong>Conversions</strong> <strong>and</strong> <strong>Problems</strong>

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