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Lecture 5

# PmP612s Lecture Notes - Lecture 5: Web Conferencing, Elementary Arithmetic, Therm

16 pages30 viewsFall 2015

Department
Human Resources
Course Code
PmP612s
Professor
Nyguyn
Lecture
5

Page:
of 16
As a supplement to the Business Energy Professional course, we routinely hear from
seminar or webinar attendees that they wish there was an overview of math skills
needed for the course. This handout contains an overview of the math skills needed for
simplifying expressions, converting units, utilizing calculators, and solving equations
anything you do prior to the course in reviewing this material will substantially increase
what you learn during the seminar or webinar and will also service those very well as
they prepare for the certification exam. This handout is broken into the following
sections:
Order of Operations / Hierarchy
Calculators
Expressions
Conversion Factors for Unit Conversions
Unit Conversions
Equations
While this handout is a short refresher of several mathematical operations, the
Association of Energy Engineers does offer a very extensive pre-course titled The
Basics of Energy Management. This online self study course is not required for the
Business Energy Professional course or its certification. Some individuals may find the
online course worth their while as a review course. The Basics of Energy Management
self study seminar outline is as follows.
Basics of Energy Management Seminar Outline
Preface -- Goals and Purpose of This Self-Paced Seminar
Chapter 1 Introduction to Energy Management
Chapter 2 What is Energy and National Energy Use
Chapter 3 Basic Arithmetic and Calculator Skills
Chapter 4 Basic Algebra and Analytical Skills
Chapter 5 Energy Units and Energy Conversions
Chapter 6 Understanding Electrical Systems and Electrical Rates
Chapter 7 Economic Analysis and Economic Decisions
Chapter 8 Basic Technologies, Terminology and Units for Equipment End Use
Categories - Lighting, Motors, Air Conditioning, and Boilers
Order of Operations / Hierarchy:
The order of operations or hierarchy is the order in which a mathematical expression or
equation should be conducted. The hierarchy of operations is as follows:
1. Operations inside grouping symbols
2. Exponents
3. Multiplication and/or Division in the order of left to right
4. Addition and/or subtraction in the order of left to right
Examples:
1. 7 + 3 x 4 + 6
For this expression, the first operation must be the 3 x 4
7 + 12 + 6
The next order would be the addition, in order from left to right
25
2.   
For this expression, the first operation must be the exponents
6 x 49 x 5 + 14 x .81
The next order would be the multiplication, in order from left to right
1,470 + 11.34
The next order would be the addition, in order from left to right
1,481.34
3. 
For this expression, the first operation must be the exponents (we must
reduce these to fully do the operation within the grouping symbol)
133 x (.0036 + .125 x 420) + 1,728
The next order would be the multiplication within the grouping symbol
133 x (.0036 + 52.5) + 1,728
The next order would be the addition within the grouping symbol
133 x (52.5036) + 1,728
The next order would be the multiplication
6,982.9788 + 1,728
The next order would be the addition
8,710.9788
4.           

For this expression, the first operation must be the operations within the
grouping symbols. For the first grouping symbol, multiplication in the order
from left to right; the second grouping symbols is addition and subtraction
in order from left to right; the third grouping symbol is the performance of
the division.
 
The next order would be the exponents
1,786 + 2,401{48} + .5120
The next order would be the multiplication
1,786 + 115,248 + .5120
The next order would be addition, in order from left to right
117,034.512
Important Note: Business calculators are programmed to do the order of
operations in the order that you enter them, ie it ignores hierarchy. Whereas a
scientific calculator knows hierarchy and when posed with entering numbers, it
will perform the operations following the order of operations above.

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