The document discusses operations with integers. It defines integers as including positive and negative whole numbers and zero. It explains how to add integers by finding the first number on a number line, moving right for positive numbers or left for negative, and the landing point is the sum. Adding integers follows rules such as both positives are added, both negatives are added and made negative, and one positive and one negative are subtracted and use the sign of the bigger number. It also covers subtracting integers by changing the minus to a plus and changing the sign of the number being subtracted.

1. Operations with Integers
1/30/13

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 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 =