1. Name the integer that corresponds to each point.
Warm Up
Add.
Name the integer that corresponds to each point.
5. A B 5 11 13 29 –3 5 1

2. Problem of the Day
Karen earned 40 points on part I of a test, 26 points on part II, and 25 points on part III. What number of points did Karen earn on parts I and III combined? 65 2

3. Sunshine State Standards
Preview of MA.7.A.3.1 Use and justify the rules for adding…integers.
Preview of MA.7.A.3.2 Add…integers,…including solving problems in everyday contexts.

4. Adding Integers on a Number Line
Move right on a number line to add a positive integer.
Move left on a number line to add a negative integer.
Adding Integers on a Number Line 4

5. Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers.
–2 + (–5) = –7
Writing Math 5

6. Additional Example 1: Writing Integer Addition
Write the addition modeled on each number line. A. B.
+ (–4) 5 –
The addition modeled is 5 + (–4) = 1. +7
(–4)
–5 –4 –3 –2 –
The addition modeled is –4 + 7 = 3. 6

7. Additional Example 1: Writing Integer Addition
Write the addition modeled on each number line. C.
+ (–5) 3
–4 –3 –2 –
The addition modeled is 3 + (–5) = –2. 7

8. Write the addition modeled on each number line. A.
Check It Out: Example 1
Write the addition modeled on each number line. A. B.
+ (–3) 6 –
The addition modeled is 6 + (–3) = 3. +3
(–2)
–5 –4 –3 –2 –
The addition modeled is –2 + 3 = 1. 8

9. Write the addition modeled on each number line.
Check It Out: Example 1
Write the addition modeled on each number line. C.
+ (–7) 4
–4 –3 –2 –
The addition modeled is 4 + (–7) = –3. 9

10. Additional Example 2A: Adding Integers
Find the sum.
–3 + (–2)
Think:
+ (–2) –3
–6 –5 –4 –3 –2 –
–3 + (–2) = –5 10

11. Additional Example 2B: Adding Integers
Find the sum.
6 + (–8)
Think:
+(–8) 6
–3 –2 –
6 + (–8) = –2 11

12. Check It Out: Example 2A Find the sum. –2 + (–4) Think: –2 + (–4)
–6 –5 –4 –3 –2 –
–2 + (–4) = –6 12

13. Check It Out: Example 2B Find the sum. 3 + (–6) Think: + (–6) 3
–3 –2 –
3 + (–6) = –3 13

14. Additional Example 3: Evaluating Integer Expressions
Evaluate y + (–2) for y = 7.
y + (–2)
Write the expression.
7 + (–2)
Substitute 7 for y. 5
Add. 14

15. Check It Out: Example 3 Evaluate z + (–4) for z = 2. z + (–4)
Write the expression.
2 + (–4)
Substitute 2 for z. –2
Add. 15

16. Additional Example 4: Application
A sunken ship is 12 m below the sea level. A search plane flies 35 m above the sunken ship. How far above the sea is the plane?
The ship is 12 m below the sea level and the plane is 35 m above the ship. – 23
The plane is 23 m above the sea. 16

17. The plane is 21 m above the sea.
Check It Out: Example 4
A sunken treasure chest is 33 m below the sea level. A search plane flies 54 m above the sunken treasure chest. How far above the sea is the plane?
The treasure chest is 33 m below the sea level and the plane is 54 m above the treasure chest. – 21
The plane is 21 m above the sea. 17