Operations with integers

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Operations with integers

  1. 1. Operations with Integers1/30/13
  2. 2. What are Integers?• Integers include all of the positive and negative whole numbers, and zero. Integers NOT Integers 3 -1.652 -4 ¾ 12 2.5 0 0.7
  3. 3. Adding Integers• On a number line:1. Find the first number.2. Move the distance of the second number. a) Positive (+) numbers, move RIGHT b) Negative (-) numbers, move LEFT3. Where you land is the answer!Example: 5 + 8
  4. 4. Examples:• -4 + 1 =• 7 + -9 =• -8 + -4 =
  5. 5. Adding Integers Rules• Use if you don’t have a number line.• When the integers are: ▫ Both Positive: add the numbers  Ex: 4 + 6 = ▫ Both Negative: add the numbers and make it negative  Ex: -2 + -5 = ▫ One Positive and One Negative: Subtract and use the sign of the bigger number.  Ex: -7 + 4 =
  6. 6. You Try!• Add the integers.• 12 + -4 =• -8 + -9 =• 2 + 13 =• -11 + 5 =
  7. 7. Subtracting Integers 1/31/13• Change the minus to a plus, and change the sign of the number you are subtracting.• Then add!• Ex: -14 – 6 =• Subtracting a Negative is the same as Adding!• Ex: 12 – (-3) =
  8. 8. You Try!• Subtract the integers.• 17 – 4 =• -8 – (-5) =• 2 – 11 =• -4 – 12 =
  9. 9. Multiplying Integers 2/1/13• Sign Rules:• Same signs -> Positive answer! + ∙ + = + and – ∙ – = +• Ex: 2 ∙ 3 = 6 and -2 ∙ -3 = 6• Different signs -> Negative answer! + ∙ – = – and – ∙ + = –• Ex: 2 ∙ -3 = -6 and -2 ∙ 3 = -6
  10. 10. Examples:• (5)(-12) =• -14 x -8 =• -23 ∙ 7 =
  11. 11. You Try!• -9 x 17 =• (-20)(-16) =• 14 ∙ -5 =
  12. 12. Dividing Integers• Sign rules are the same as multiplying!• Examples:• -16 ÷ -8 =• =
  13. 13. You Try!• -90 ÷ 6 =•• -57 ÷ 19 =

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