Integers 101- Understanding Integers

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  • 1. Understanding Integers
    - What integers are
    - How we compare and order integers….
    - Absolute Value
  • 2. Real Numbers
    Prime
    1,3,5,7,11
    Composite
    2,4,6,8,9,10
  • 3. Real Numbers
    Natural Numbers 1,2,3,4,5
    Prime
    1,3,5,7,11
    Composite
    2,4,6,8,9,10
  • 4. Real Numbers
    Whole Numbers 0,1,2,3,4,5
    Natural Numbers 1,2,3,4,5
    Prime
    1,3,5,7,11
    Composite
    2,4,6,8,9,10
  • 5. Real Numbers
    Integers -3,-2,-1,0,1,2,3
    Whole Numbers 0,1,2,3,4,5
    Natural Numbers 1,2,3,4,5
    Prime
    1,3,5,7,11
    Composite
    2,4,6,8,9,10
  • 6. Real Numbers
    Terminating Decimals - 1.1, 1.2, -1.1, 1.2
    Repeating Decimals - 1.2323, -1.2323
    Fractions - 3/4, -3/4
    Integers -3,-2,-1,0,1,2,3
    Whole Numbers 0,1,2,3,4,5
    Natural Numbers 1,2,3,4,5
    Prime
    1,3,5,7,11
    Composite
    2,4,6,8,9,10
  • 7. Real Numbers
    Rational Numbers
    Irrational Numbers
    Non-Terminating and Non-Repeating Decimals

    5.12323223012
    Terminating Decimals - 1.1, 1.2, -1.1, 1.2
    Repeating Decimals - 1.2323, -1.2323
    Fractions - 3/4, -3/4
    Integers -3,-2,-1,0,1,2,3
    Whole Numbers 0,1,2,3,4,5
    Natural Numbers 1,2,3,4,5
    Prime
    1,3,5,7,11
    Composite
    2,4,6,8,9,10
  • 8. Not Integers
    Integers
    5.6
    -5.6
    2.3
    -2.3
    5/6
    -5/6
    ¾
    -3/4
  • 9. Not Integers
    Integers
    5.6
    -5.6
    2.3
    -2.3
    5/6
    -5/6
    ¾
    -3/4
    Whole Numbers NOT Whole
    Numbers
  • 10. Not Integers
    Integers
    The red arrows point to
    Negative Rational Numbers
    5.6
    -5.6
    2.3
    -2.3
    5/6
    -5/6
    ¾
    -3/4
    Whole Numbers NOT Whole
    Numbers
  • 11. Not Integers
    Integers
    The green arrows point to
    Positive Rational Numbers
    5.6
    -5.6
    2.3
    -2.3
    5/6
    -5/6
    ¾
    -3/4
    Whole Numbers NOT Whole
    Numbers
  • 12. How can we define an Integer?
    Any positive or negative number that is a WHOLE part or piece … NO decimals… NO fractions
  • 13. Ponder this….
    Is any positive and or negative number also an integer?
    Why or Why not?
  • 14. Ponder this….
    Is any positive and or negative number also an integer?
    Why or Why not?
    1. Can I turn it into a fraction?
    2. Is it a whole number?
  • 15. Ponder this….
    Is any positive and or negative number also an integer?
    Why or Why not?
    1. Can I turn it into a fraction?
    2. Is it a whole number?
  • 16. How do we classify integers?
  • 17. How do we compare and order integers?
  • 18. How do we compare and order integers?
    Would you rather have $2 or $-2????
  • 19. How do we compare and order integers?
    Would you rather have $2 or $-2????
  • 20. Less Value More Value
    Less Value More Value
  • 21. Where do 2 and -3 belong?
    0
  • 22. Where do 2 and -3 belong?
    0
    2
    -3
  • 23. Order the numbers least to greatest?
  • 24. Order the numbers least to greatest?
    Which number is the least? (smallest value)
    -11 or -18
  • 25. Order the numbers least to greatest?
    Which number is the least? (smallest value)
    -11 or -18
  • 26. Order the numbers least to greatest?
    Which number is the least? (smallest value)
    -11 or -18
    -18, -16, -13, -12, -11
  • 27. Absolute Value
  • 28. Absolute Value
    • Tells us how far away is zero
  • Absolute Value Examples
  • 29. I learned….
    What integers are
    How we compare and order integers
    Absolute Value
  • 30. Sources Cited
    All images taken from www.google.com/images