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October 17, 2013
http://www.youtube.com/watch?v=ozaDTY59a34&list=PLy2WKwd4Cvgs6MnqzwwX_d-3LNU5t1nEV
Colin Dodds - Number Types (Math Song) - YouTube.website
Pi is an irrational number - Star Trek - YouTube.website
October 17, 2013
Rational Numbers Irrational Numbers
Real Numbers
expressed as a fraction
terminating decimal (stops)
repeating decimal
cannot be written as fraction
non terminating decimal
non repeating decimal
"messy" square root
October 17, 2013
Rational Numbers -Include #s that can be expressed as the ratio of 2 integers.
- Decimals that either repeat OR terminate.Repeating decimal ~ 0.33333(decimal that repeats)
Terminating decimal ~ 4.2(decimal that ends)
October 17, 2013
There are many more Rational Numbers than Irrational Numbers!
Integers - all positive and negative whole numbers
Whole Numbers - all positive numbers beginning with 0
Natural Numbers - all positive numbers beginning with 1 (counting numbers)
Rational Numbers - special groups
October 17, 2013
All REAL numbers are
either...
Rational or Irrational
Terminating and Repeating DecimalsFractions and Mixed NumbersPositive and Negative Fractions and special groups:
-Integers (...,-2,-1,0,1,2,3,...) - Whole #s (0,1,2,3,...) - Natural #s (1,2,3,...)
Can only be written as decimals that do not terminate or repeat.
October 17, 2013
Pi is an irrational number - Star Trek - YouTube.website
October 17, 2013
0.6
fraction decimal
positivenegative
positive0
positive 1
repeat3.8 1.2
October 17, 2013
Real Numbers
Rational Irrational
Integers
Whole Numbers
Natural Numbers0
-7-1
9 5
17
- 7
16
π
5
9
-3
11
27
4
4.6-0.9 0.3
π
October 17, 2013
Large Group Activity
October 17, 2013
Clicker Activity
October 17, 2013
(5, 6, 18, 27, 36, 44, 45)The numbers shown above belong to which of the following subsets of the real numbers?
October 17, 2013
35
-9 3.8
To which real number subset do the following real numbers belong?
October 17, 2013
October 17, 2013
Which is the most specific subset of the real numbers that contains the number below? -7
October 17, 2013
(0, 1, 13, 18, 28, 35, 38)The numbers shown above belong to which of the following subsets of the real numbers?
October 17, 2013
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Which is the most specific subset of the real numbers that contains the number below?
12
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Colin Dodds - Number Types (Math Song) - YouTube.website
October 17, 2013
![[Ivan Niven] Irrational Numbers(BookFi.org)](https://img.pdfslide.net/doc/110x75/55328d634a79599f5e8b4631/ivan-niven-irrational-numbersbookfiorg.jpg)
