2. Real Numbers
✦ Two major groups -
Rational & Irrational
Image from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif
Image source http://3.bp.blogspot.com/
_r9OeV7enT6s/SctQz4QiPLI/AAAAAAAAApM/
aZVDaddjsmc/S220/321.jpg
3. Rational Numbers
✦ Rational is something that
makes sense.
mage from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif
4. Rational Numbers
✦ Rational is something that
makes sense.
✦ Rational numbers make sense
mage from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif because they are predictable.
5. Rational Numbers
✦ Rational is something that
makes sense.
✦ Rational numbers make sense
mage from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif because they are predictable.
✦ They terminate (end)
6. Rational Numbers
✦ Rational is something that
makes sense.
✦ Rational numbers make sense
mage from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif because they are predictable.
✦ They terminate (end)
−2.34
3 −27
7. Rational Numbers
✦ Rational is something that
makes sense.
✦ Rational numbers make sense
mage from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif because they are predictable.
✦ They terminate (end)
✦ or follow a pattern.
−2.34
3 −27
8. Rational Numbers
✦ Rational is something that
makes sense.
✦ Rational numbers make sense
mage from http://2.bp.blogspot.com/_gWQaU40PH24/S4BfSLW_ONI/
AAAAAAAAFwM/t3H-Sngze0A/s320/rational.gif because they are predictable.
✦ They terminate (end)
9.232323... ✦ or follow a pattern.
−2.34 5
= 1.6666666...
3
3 −27
9. Irrational Numbers
✦ Think how someone acts
when they are being
irrational. (Kind of like
the mad man in the
picture!)
Image from http://bulk2.destructoid.com/ul/181777-IrrationalMainImage.jpg
10. Irrational Numbers
✦ Think how someone acts
when they are being
irrational. (Kind of like
the mad man in the
picture!)
✦ Irrational numbers are Image from http://bulk2.destructoid.com/ul/181777-IrrationalMainImage.jpg
unpredictable numbers.
They never end and the
next number can’t be
guessed because no
pattern exists.
11. Irrational Numbers
✦ Think how someone acts
when they are being
irrational. (Kind of like
the mad man in the
picture!)
✦ Irrational numbers are Image from http://bulk2.destructoid.com/ul/181777-IrrationalMainImage.jpg
unpredictable numbers.
They never end and the
2.1239257...
next number can’t be π = 3.14159...
guessed because no
pattern exists. e= 2.718281828459...
12. Types of Rational Numbers
✦ Integers - Numbers without decimals or fractions.
Can be positive or negative.
13. Types of Rational Numbers
✦ Integers - Numbers without decimals or fractions.
Can be positive or negative.
✦ Wh0le Numbers - 0, 1, 2, 3, etc.
14. Types of Rational Numbers
✦ Integers - Numbers without decimals or fractions.
Can be positive or negative.
✦ Wh0le Numbers - 0, 1, 2, 3, etc.
✦ Natural Numbers (also called the Counting Numbers)
15. Types of Rational Numbers
✦ Integers - Numbers without decimals or fractions.
Can be positive or negative.
✦ Wh0le Numbers - 0, 1, 2, 3, etc.
✦ Natural Numbers (also called the Counting Numbers)
✦ What number do you start with when you count?
16. Types of Rational Numbers
✦ Integers - Numbers without decimals or fractions.
Can be positive or negative.
✦ Wh0le Numbers - 0, 1, 2, 3, etc.
✦ Natural Numbers (also called the Counting Numbers)
✦ What number do you start with when you count?
✦ 1.
17. Types of Rational Numbers
✦ Integers - Numbers without decimals or fractions.
Can be positive or negative.
✦ Wh0le Numbers - 0, 1, 2, 3, etc.
✦ Natural Numbers (also called the Counting Numbers)
✦ What number do you start with when you count?
✦ 1.
✦ The Natural Numbers are the set of positive
integers beginning with 1. Such as 1, 2, 3, 4, ...
