Integers by ert554898

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									    If people do not believe
mathematics is simple, it is only
because they do not realize how
       complicated life is.

     - John Louis von Neumann
  Integers

By: Mrs. Stewart
            What are they?
 The positive and negative whole numbers,
  including zero.



     …-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5…
               Adding Integers
 Same sign: Add the #s; keep the sign.

  -4 + -2 =
   6+9=

 Different signs: Subtract the #s; keep the sign of
  the larger number.

  -11 + 19 =
  -27 + 25 =
       Subtracting Integers
 “Add its opposite.”
 “Keep-Change-Change.”

 -9 – 4 = ?    (Keep-Change-Change)
 -9 + -4 = -13
  Multiplying or Dividing Integers
 Same sign: Multiply or divide the #s, sign is
  positive.

  9 * 4 = 32                         -9 * -4 = 32
  12 ÷ 3 = 4                         -12 ÷ -3 = 4

 Different signs: Multiply or divide the #s, sign is
  negative.

  -3 * 3 = -9                        18 ÷ -9 = -2
                 Special Note
   Anything multiplied or divided by 1 is itself.
   Anything multiplied by 0 is 0.
   0 divided by a number is still zero.
   You cannot divide a number by zero.
   The use of calculators makes it easy to
    forget the rules for integers, but they are
    important to memorize. Reason being, we
    do not always have a calculator handy.
          Real-World Example
 Thomas made $180 for 9 days worth of work.
  How much does Thomas make a day?
  Additionally, if he deposits his check into his
  checking account that has a balance of -$173, will
  he have a positive balance.

    180 ÷ 9 = 20
    Thomas earns $20 a day.

    180 + -173 = 7
    Yes, Thomas has a positive balance.

								
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