Chapter03 section03 Solving Conversion Problems By Hamdy Karim.

3.3
3

Conversion Problems

Because each country’s
currency compares differently
with the U.S. dollar, knowing
how to convert currency units
correctly is very important.
Conversion problems are
readily solved by a problemsolving approach called
dimensional analysis.
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© Copyright Pearson Prentice Hall

3.3

Conversion Problems

>

Conversion Factors

Conversion Factors
What happens when a measurement
is multiplied by a conversion factor?

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3.3

Conversion Problems

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Conversion Factors

A conversion factor is a ratio of equivalent
measurements.
The ratios 100 cm/1 m and 1 m/100 cm are
examples of conversion factors.

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Conversion Problems

>

Conversion Factors

Animation 3
Learn how to select the proper conversion
factor and how to use it.

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3.3

Conversion Problems

>

Conversion Factors

When a measurement is multiplied by
a conversion factor, the numerical
value is generally changed, but the
actual size of the quantity measured
remains the same.

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3.3

Conversion Problems

>

Conversion Factors

The scale of the micrograph is in nanometers.
Using the relationship 109 nm = 1 m, you can write
the following conversion factors.

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3.3

Conversion Problems

>

Dimensional Analysis

Why is dimensional analysis useful?

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3.3

Conversion Problems

>


Dimensional analysis is a way to analyze and
solve problems using the units, or dimensions,
of the measurements.
Dimensional analysis provides you
with an alternative approach to
problem solving.

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SAMPLE PROBLEM 3.5

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Practice Problems for Sample Problem 3.5

Problem Solving 3.29 Solve
Problem 29 with the help of an
interactive guided tutorial.
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SAMPLE PROBLEM 3.6

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For Sample Problem 3.6

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3.3

Conversion Problems

>

Converting Between Units

What types of problems are easily
solved by using dimensional
analysis?

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3.3

Conversion Problems

>


Problems in which a measurement
with one unit is converted to an
equivalent measurement with another
unit are easily solved using
dimensional analysis.

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SAMPLE PROBLEM 3.7

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3.3

Conversion Problems

>


Multistep Problems
When converting between units, it is often
necessary to use more than one conversion
factor. Sample problem 3.8 illustrates the use of
multiple conversion factors.

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SAMPLE PROBLEM 3.8

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3.3

Conversion Problems

>


Converting Complex Units
Many common measurements are expressed
as a ratio of two units. If you use dimensional
analysis, converting these complex units is just
as easy as converting single units. It will just
take multiple steps to arrive at an answer.

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SAMPLE PROBLEM 3.9

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Problem-Solving 3.37 Solve
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Section Assessment

Assess students’ understanding
of the concepts in Section 3.3
Continue to:

-or-

Launch:

Section Quiz

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3.3 Section Quiz
1. 1 Mg = 1000 kg. Which of the following would
be a correct conversion factor for this
relationship?
a.

1000.

b.

1/1000.

c. ÷ 1000.
d. 1000 kg/1Mg.
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3.3 Section Quiz
2. The conversion factor used to convert joules to
calories changes
a. the quantity of energy measured but not the
numerical value of the measurement.
b. neither the numerical value of the measurement
nor the quantity of energy measured.

c. the numerical value of the measurement but not
the quantity of energy measured.
d. both the numerical value of the measurement and
the quantity of energy measured.
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3.3 Section Quiz
3. How many

g are in 0.0134 g?

a. 1.34

10–4

b. 1.34

10–6

c. 1.34

106

d. 1.34

104

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3.3 Section Quiz
4. Express the density 5.6 g/cm3 in kg/m3.
a. 5.6

106kg/m3

b. 5.6

103kg/m3

c. 0.56 kg/m3

d. 0.0056 kg/m3

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Chapter03 section03 Solving Conversion Problems By Hamdy Karim.

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