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# Class 2 Math I

## by Stephen Parsons, Business Analyst, Consultant - Educational Technology at Nova Scotia Community College/ xEd Consulting on Sep 29, 2010

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In this class we will examine the decimal number system, operations and notation. We will also examone math operations on positional number systems and begin to explore dimensional (unit) analysis and ...

In this class we will examine the decimal number system, operations and notation. We will also examone math operations on positional number systems and begin to explore dimensional (unit) analysis and calculations.

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## Class 2 Math IPresentation Transcript

• Decimal Notation and Operations
Class 2 – Number Systems I
• Introduction
• Agenda
Warm-up: Brain Teasers
Review Follow-up from Week 1
The Decimal System
Operations and Order
Exponential Values and Operations
Scientific Notation
Dimensional (Unit) Analysis
Assignment 1: Basic Math 1 - Applied Math
Quest: Problem-Solving Approaches*
Activity: 3 men and a hotel room
• The Decimal System
Positional Number Systems
123,456
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2*17
• Order of Operations
In the following equation, what operations go first?
(3a2+ 2ab – 5)3/7 + a2 *17
• Notation
Exponents
Xo=1
X1=x
X-1=1/x
X-3=1/x3
Product Rule
a€R:a≠0, am • ak = am+k
Quotient Rule
a€R:a≠0, ax / ay = a x-y
Power Rule
(am)n = amn
Product to Power Rule
(ab)n = anbn
• Notation
Exponents
Xo=1
X1=x
X-1=1/x
X-3=1/x3
Root
√x
3√a
Calculator Functions
Product Rule
a€R:a≠0, am • ak = am+k
Quotient Rule
a€R:a≠0, ax / ay = a x-y
Power Rule
(am)n = amn
Product to Power Rule
(ab)n = anbn
• Notation
Scientific Notation
Calculator exercise
((12345)6)6
Mantissa always positive >0 and <10
4.765 E+5 or 4.765 x 105 = 476,500
3.20 x 10-3 = .00320
Significant digits 43,210 = 4.321 x 104
• Dimensional (Unit) Analysis
Generally involve conversion of ratios
e.g. Miles/Hr Characters/Line Km/Litre
Practice
Yarmouth Trip110 km/hr Yarmouth = 375 kmHow long in minutes?
Archimedes Universe
2.3 x 106m Universe DiameterLight travels at 300,000km/secondHow long for light to cross this universe?
• Summary
Positional Number Systems - Decimal
Order of Operations
Notation
Exponents
Scientific Notation
Dimensional Analysis
Questions?
• Assignment
Assignment 1: Math Basics
Due start of next class