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Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
Operations with integers
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Operations with integers

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Transcript

  • 1. Operations with Integers1/30/13
  • 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. 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. Examples:• -4 + 1 =• 7 + -9 =• -8 + -4 =
  • 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. You Try!• Add the integers.• 12 + -4 =• -8 + -9 =• 2 + 13 =• -11 + 5 =
  • 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. You Try!• Subtract the integers.• 17 – 4 =• -8 – (-5) =• 2 – 11 =• -4 – 12 =
  • 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. Examples:• (5)(-12) =• -14 x -8 =• -23 ∙ 7 =
  • 11. You Try!• -9 x 17 =• (-20)(-16) =• 14 ∙ -5 =
  • 12. Dividing Integers• Sign rules are the same as multiplying!• Examples:• -16 ÷ -8 =• =
  • 13. You Try!• -90 ÷ 6 =•• -57 ÷ 19 =

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