Download Lesson 1.1

Numbers, Data, and
Problem Solving
Lesson 1.1
Sets of Numbers
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Natural Numbers
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The whole numbers
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The counting numbers
{ 1, 2, 3, 4, … }
The counting numbers with zero included
{ 0, 1, 2, 3, 4, … }
The integers
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The whole numbers and their additive opposites,
their negatives
{ . . . , -4, -3, -2, -1, 0, 1, 2, 3, 4, … }
Sets of Numbers
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Rational numbers
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Any number expressed as the quotient of two
integers – and the denominator is NOT zero
Note: these can be
written as terminating or
repeating decimals
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p
q
where p and q  Integers, and q  0
Irrational numbers
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Numbers that cannot be represented by quotient of
two integers
2 
e sin 37
Try it Out …
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Classify the following numbers as
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Natural numbers
Whole numbers
Rationals
Irrationals
17
3
17
5280
3.14
Order of Operations
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1.
2.
3.
Work from innermost parentheses, out
Evaluate all exponents
Multiplications, divisions from left to right
Additions and subtractions from left to right
10  6
 4  2(4  5) 2
53
13  9  16
57
3
Calculating Percent Change
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If a quantity changes from c1 to c2 the percent of
change is given by:
c2  c1
100
c1
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Gasoline changed from $1.19 to $1.43 in one
week's time … what was the percent of
increase?
Calculating Percent Change
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What if you are told the percentage of increase
and the original value … now find the new
value!
c2  c1
100
c1
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Enter the values you know
Solve for the value you don't know
What kinds of numbers
did we use in these
calculations?
What if gas was at $1.47 and went down by
12% a week later. What is the new price?
Problem Solving
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Important strategies …
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Draw a sketch
Write formulas involved
Determine values in the formulas that you know
Solve for the values you are searching for
The Milky Way has a diameter of 6 x 1017 miles.
If the speed of light is 186,000 miles/sec, how
many years does it take for light to travel across
the galaxy?
Assignment
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Lesson 1.1
Page 10
Exercises
1 – 27 odd, 77 - 87odd