Dr' Fowlers Guide to Numbers

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Dr. Fowlers Guide to Numbers

• A Handbook

This PowerPoint Program may be adapted and used
by any teacher or student in an education
program. David Fowler. University of
Nebraska-Lincoln.
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Life without numbers?

• Without numbers, life would be a blank slate.
• How old are you?
• Ive been around for awhile
• When were you born?
• Sometime in the past

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How large is your family?

• I have some brothers and sisters.
• One of them has lived longer than the others, but
  I dont know any other way to say it

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You get the point

• Think of the things you did today that used
  numbers
• Time
• Money
• Assignments
• References
• Addresses

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It seems obvious, but numbers tell us how many
things there are in a collection
Seven
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When we talk about numbers, we use words. When
we write numbers, we often use numerals,
because theyre easier. 7 lt (a numeral)
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We have a system of numerals called The Base 10
System. Its different from other base 10
systems. Do you see a difference?
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We use the special number zero to build our place
value system. Zero does not mean nothing.
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Sometimes we can organize a collection of objects
into a neat rectangular shape
32
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If the rectangle is a square, we have a square
number
16
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Sometimes we cant get a rectangle
31
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When we cant get a rectangle, we have a prime
number
5
13
7
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All the whole numbers can be created from the
prime numbers
15
2
3
6
5
8, 9, 10
7
4
11
13
33
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What prime numbers is 70 created from? (We call
these the prime factors of 70.)
? x ? x ? 70
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How many numbers are there? How many prime
numbers?Is there a largest number?
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Many numbers have special names
Square number Triangular number
Odd number Even number
Perfect number
Fibonacci number
Are there cubic numbers?
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28 is a perfect number.
1 2 4 7 14 28
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Here are the first eleven Fibonacci numbers
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
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Could a number have more than one name? Could you
have a square prime number?
?
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Numbers larger than 1,000 have special names.
They are the -illions
1,000,000 one billion 1,000,000,000 one
trillion 1,000,000,000,000 one quadrillion
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How many illions would an octillion have? How
many zeros would it have?
1 , 000, 000, 000, 000, 000, 000, 000, 000, 000
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Multiplying a number by itself gives us a power
of the number.
2 x 2 x 2 x 2 x 2 32 2 to the fifth power
equals 32
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How would you write a number when the base is 2
and the exponent is the letter p ?
?
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Suppose p equals 3. Then what would each of these
numbers be
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Can you find values for p that make these numbers
prime
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Can you find this number for different values of
n?