The document defines integers as the set of negative whole numbers and positive whole numbers. It discusses comparing integers using the relations >, <, and =. It also describes rules for adding integers: add integers with the same sign by adding their absolute values and using the common sign; subtract integers with opposite signs by subtracting their absolute values and using the sign of the integer with the greater absolute value. Examples are provided to demonstrate comparing and adding integers.

1. Integers

2. Integers comprise the set of negative integers and whole
numbers.
Z = {…, -5, -4, -3, -2, -1,} ∪ {0} ∪ 1, 2, 3, 4, 5, …

4. Comparing and Ordering Integers
Compare by writing >, <, or = .
1. |10 - 6| = 4
2. -|8| = -8
3. -5 < - 1
4. 0 > -2
5. 1 > -1
6. 9 > -2
7. -3 < 1
8. -4 < -1
9. 5 > 0
10. -7 > -8

5. Addition of Integers
 To add integers with like signs, add their absolute values and
prefix the common sign.
 To add integers with unlike signs, subtract their absolute values
and prefix the sign of the number with greater absolute value

6. Let’s Apply
 Find the sum.
1. (3) + (4) = 7 6. (-4) + (2) = -2
2. (5) + (6) = 11 7. (-6) + (7) = 1
3. (-4) + (-5) = -9 8. (9) + (-6) = 3
4. (-7) + (-1) = -8 9. (2) + (-6) = -4
5. (-3) + 0 = -3 10. (-5) + (5) = 0

7. Let’s Check Your Understanding
 Find the sum.
1. (12) + (8) = 6. (-14) + (3) =
2. (-4) + (-4) = 7. -5 + 20 =
3. (5) + (-6) = 8. 10 + (-15) =
4. (-6) + (6) = 9. (-14) + 0 =
5. (-6) + (-6) = 10. (1) + (-2) + (4) = 3