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PPT – Chapter 2 Properties of Real Numbers PowerPoint presentation | free to view - id: 147e21-MDQyZ

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Chapter 2 Properties of Real Numbers

The Bigger Picture - Positive and Negative

Numbers (, -, X, -- Graphing

Comparing Opposites Absolute Value) - Real

Life Applications of Negatives Losses,

Deficits, Low Temperatures, - Creating,

Simplifying, and Evaluating more complex,

but realistic Expressions and Matrices The

properties of real numbers will be used to solve

higher level algebraic problems, as well as

real-life problems such as finding velocity,

speed, and distance profit and loss for a

business the difference in stock market prices

averages or the balance of a loan.

The What and the Why

- Graph and Compare Real Numbers
- Organize data, including negative values, in

such a way as to evaluate and determine specific

answers or characteristics, e.g. coldest temp

ever recorded. - Find the Opposite and Absolute Value of a Real

Number - Using absolute values and opposite values allows

us to assess in relative terms, regardless of the

direction of the data, e.g. measuring speed and

velocity - Add Subtract Real Numbers
- Understanding the impact of mathematical

operations on both positives and negative. - Organizing, Adding, and Subtracting Data in a

Matrix - - Allows us to organize related data into a

format for comparison both within, and to other

similarly arranged data for the same categories

- Multiplying Real Numbers
- The principles of multiplying positive and
- negative numbers is a key component is
- understanding directional changes in may

applications - Use of Distributive Property
- - Being able to distribute a constant factor

across multiple variables in an equation or

algorithm - Combine Like Terms
- - Key tool for simplifying expressions in order

to more easily evaluate and solve them - Divide Real Numbers
- - Dividing real numbers is a very common

occurrence in many areas such as evaluation of

stock price changes - Express the likelihood of an event as a

probability or as odds - - Probability and statistics applications help us

understand the likelihood of events from the

weather, to poker hands, to the complexity of

unlocking cures for diseases.

Chapter 2 Properties of Real Numbers,

Helicopter Example

Helicopters are capable of vertical flight

flying straight up and down. Rotor blades

generate an upward force (lift) as they whirl

through the air. Mathematics provide a useful

way of distinguishing between upward and downward

motion. We can use positive numbers to measure

the velocity of upward motion and negative

numbers to measure the velocity of downward

motion.

- Questions for Discussion
- Has anyone ever flown in a Helicopter?
- What are some other real-life situations that you

might represent with negative numbers? - How could we describe the average speed and

direction of the helicopter in the diagram if it

travels the distance indicated in 15 seconds?

120 ft

180 ft

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