Understanding Numbers - PowerPoint PPT Presentation

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Understanding Numbers

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Understanding Numbers Alex Smart Goody Twoshus S'Marty Pants Numbers fall into two categories Real Numbers Rational numbers Natural numbers Whole numbers Integers ... – PowerPoint PPT presentation

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Title: Understanding Numbers


1
Understanding Numbers
  • Alex Smart
  • Goody Twoshus
  • S'Marty Pants

2
Numbers fall into two categories
  • Real Numbers
  • Rational numbers
  •  
  • Natural numbers
  • Whole numbers
  • Integers
  • Irrational numbers
  • Imaginary
  •  
  • The letter "i" represents imaginary numbers
  • square roots of negative numbers
  • even roots of negative numbers

3
Real Numbers are made of two types of numbers
  • Rational Numbers
  • can be expressed as a fraction
  • Can be non-terminating
  • Does repeat decimal numbers
  • Irrational Numbers
  • Cannot be expressed as a fraction
  • Non-terminating, non-repeating decimal

4
Examples of rational and irrational numbers
  • Rational
  • 1/2    1/3    1/2345  4
  •  
  • perfect square roots
  •  
  • perfect cube roots
  •  
  • perfect any roots 
  • Irrational numbers
  • The most famous is pi
  • Any non-perfect square root
  • Any non-perfect any root

5
Natural numbers
  • What is taught the first time you count? 1, 2, 3,
    4, 5, 6...
  • Also referred to as counting numbers
  • Start at 1 and go to forever or infinity....

6
Whole Numbers
  • Whole numbers are natural numbers and zero....
  • Zero (0) looks like a hole.....(w)hole
    numbers....
  • Whole numbers depict quantities in wholes....no
    wholes (0) or many wholes....(1, 2, 3, 4...)

7
Integers
  • You have 3 whole loaves of breads.....
  • What happens if you destroy 5 whole loaves of
    breads of your neighbor?
  • You give your 3 and now you owe 2 to your
    neighbor
  • Integer numbers are used to show what you owe
  • Instead of owing 2 loaves, you have -2
    loaves.....
  • Integers are mirror images of whole
    numbers....like opposites

8
Rational Numbers
  • What about if you have 3 loaves and the fourth
    loaf is split with your brother?
  • You have more than 3 and less than 4 you have 3
    and a half.....
  • The 3 and a half is a rational number.....
  • Rational numbers are natural numbers, whole
    numbers, integers and the parts between those
    numbers
  • Represented by deciamals and fractions
  • Decimals that repeat are rational also

9
Irrational Numbers
  • AKA crazy numbers....hence irrational number
  • These numbers cannot be written as a
    fraction...the decimal number goes on forever,
    never repeating itself
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