Integers include whole numbers and their negative counterparts. They can be compared using the relations >, <, and = and ordered on a number line. To add integers, integers with the same sign are added by combining the absolute values and keeping the common sign, while integers with opposite signs are added by subtracting the absolute values and keeping the sign of the integer with the greater absolute value. Examples are provided to demonstrate comparing, ordering, 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