1. Adding Integers
To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers.
To add two integers with different signs, subtract. Use the sign of the integer that is farthest from zero.

2. The integers are the set of whole numbers and their opposites
The integers are the set of whole numbers and their opposites. Including zero.
The whole numbers are the counting numbers and zero: 0, 1, 2, 3,
Remember!

3. The opposite of a number is the same
distance from 0 on a number line as the
original number. Zero is its own opposite.
–4 and 4 are opposites –4 4 • •
–5–4–3–2–1 0
Negative integers
Positive integers
0 is neither positive
nor negative

4. A number’s absolute value is its distance from 0 on a number line.
They are always positive or zero.
The symbol is read as “the absolute value of.” For example -3 is the absolute value of -3.
Reading Math

5. Example 1: Modeling Integer Addition
Adding Integers
Example 1: Modeling Integer Addition
Use a number line to find each sum.
–7 + (–4)
+(–4) –7 2
–14 –12 –10 –8 –6 –4 –
Start at 0. Move left 7 spaces. Then move left
4 more spaces.
–7 + (–4) = –11

6. Insert Lesson Title Here
Adding Integers
Insert Lesson Title Here
Example 2
Use a number line to find each sum.
–4 + (–5)
+(–5) –4 2
–14 –12 –10 –8 –6 –4 –
Start at 0. Move left 4 spaces. Then move left
5 more spaces.
–4 + (–5) = –9

7. Insert Lesson Title Here
Adding Integers
Insert Lesson Title Here
Example 3
Use a number line to find each sum.
–7 + 12 12 –7
–12 –10 –8 –6 –4 –
Start at 0. Move left 7 spaces. Then move
right 12 spaces.
– = 5

8. Insert Lesson Title Here
Adding Integers
Insert Lesson Title Here
Use a number line to find the sum.
1. –7 + (–6)
Find each sum.
2. – (–9)
3. – (–3)
4. Evaluate x + y for x = –2 and y = –15.
–13 2
–14 –12 –10 –8 –6 –4 –
–20
–17