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Operations with Integers
1/30/13
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
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 LEFT
3. Where you land is the answer!
Example: 5 + 8
Examples:
• -4 + 1 =

• 7 + -9 =

• -8 + -4 =
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 =
You Try!
• Add the integers.
• 12 + -4 =
• -8 + -9 =
• 2 + 13 =
• -11 + 5 =
Subtracting Integers
• Change the minus to a plus, and change the
  sign of the number you are subtracting.
• Ex: -14 – 6 =

• Subtracting a Negative is the same as Adding!
• Ex: 12 – (-3) =
You Try!
• Subtract the integers.
• 17 – 4 =
• -8 – (-5) =
• 2 – 11 =
• -4 – 12 =

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Operations with integers

  • 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 LEFT 3. 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 • Change the minus to a plus, and change the sign of the number you are subtracting. • 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 =