Conversion Problems 3.3

Slide 1 of 43

Slide 1 of 43

Conversion Problems 3.3

© Copyright Pearson Prentice Hall

Slide 2 of 43

3.33

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 problem-solving approach called dimensional analysis.


Conversion Problems >

Slide 3 of 43

Conversion Factors

Conversion Factors

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

3.3


Slide 4 of 43

Conversion Problems >3.3 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.


Slide 5 of 43

Conversion Problems > Conversion Factors

Animation 3

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


Slide 6 of 43


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.


Slide 7 of 43


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



Slide 8 of 43

3.3 Dimensional Analysis

Dimensional Analysis

Why is dimensional analysis useful?


Slide 9 of 43

Conversion Problems >3.3 Dimensional Analysis

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.


SAMPLE PROBLEM

Slide 10 of 43

3.5


SAMPLE PROBLEM

Slide 11 of 43

3.5


SAMPLE PROBLEM

Slide 12 of 43

3.5


SAMPLE PROBLEM

Slide 13 of 43

3.5


Slide 14 of 43

Practice Problems

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

for Sample Problem 3.5


SAMPLE PROBLEM

Slide 15 of 43

3.6


SAMPLE PROBLEM

Slide 16 of 43

3.6


SAMPLE PROBLEM

Slide 17 of 43

3.6


SAMPLE PROBLEM

Slide 18 of 43

3.6


Slide 19 of 43

Practice Problems

For Sample Problem 3.6


for Sample Problem 3.6



Slide 20 of 43

Converting Between Units

Converting Between Units

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

3.3


Slide 21 of 43

Conversion Problems > Converting Between Units

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

3.3


SAMPLE PROBLEM

Slide 22 of 43

3.7


SAMPLE PROBLEM

Slide 23 of 43

3.7


SAMPLE PROBLEM

Slide 24 of 43

3.7


SAMPLE PROBLEM

Slide 25 of 43

3.7


Slide 26 of 43

Practice Problems for Sample Problem 3.7



Slide 27 of 43

Conversion Problems > Converting Between Units

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.

3.3


SAMPLE PROBLEM

Slide 28 of 43

3.8


SAMPLE PROBLEM

Slide 29 of 43

3.8


SAMPLE PROBLEM

Slide 30 of 43

3.8


SAMPLE PROBLEM

Slide 31 of 43

3.8


Slide 32 of 43




Slide 33 of 43

Conversion Problems >3.3 Converting Between Units

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.


SAMPLE PROBLEM

Slide 34 of 43

3.9


SAMPLE PROBLEM

Slide 35 of 43

3.9


SAMPLE PROBLEM

Slide 36 of 43

3.9


SAMPLE PROBLEM

Slide 37 of 43

3.9


Slide 38 of 43


Problem-Solving 3.37 Solve Problem 37 with the help of an interactive guided tutorial.


Slide 39 of 43

Section Quiz

-or-Continue to: Launch:

Assess students’ understanding of the concepts in Section

Slide 39 of 43

Section Assessment

3.3


Slide 40 of 43

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.

3.3 Section Quiz


Slide 41 of 43

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.


Slide 42 of 43

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


Slide 43 of 43

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

END OF SHOW

Documents

Conversion Problems 3.3