11-4 adding integers problem of the day warm up warm up lesson presentation lesson presentation...
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11-4 Adding Integers
Problem of the DayProblem of the Day
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
11-4 Adding Integers
Warm UpAdd.
1. 2 + 3 2. 7 + 43. 8 + 5 4. 17 + 12
Name the integer that corresponds to each point.
5. A 6. B
5 11
–3
2913
5
11-4 Adding Integers
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
11-4 Adding Integers
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.
Sunshine State Standards
11-4 Adding Integers
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
11-4 Adding Integers
Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers.
–2 + (–5) = –7
Writing Math
11-4 Adding Integers
Additional Example 1: Writing Integer Addition
Write the addition modeled on each number line.
A.
B.
–1 0 1 2 3 4 5 6
5+ (–4)
The addition modeled is 5 + (–4) = 1.
–5 –4 –3 –2 –1 0 1 2 3 4
(–4)+7
The addition modeled is –4 + 7 = 3.
11-4 Adding Integers
Additional Example 1: Writing Integer Addition
Write the addition modeled on each number line.
C.
3+ (–5)
The addition modeled is 3 + (–5) = –2.
–4 –3 –2 –1 0 1 2 3 4
11-4 Adding Integers
Check It Out: Example 1
Write the addition modeled on each number line.
A.
B.
6
+ (–3)
The addition modeled is 6 + (–3) = 3.
(–2)+3
The addition modeled is –2 + 3 = 1.
–1 0 1 2 3 4 5 6
–5 –4 –3 –2 –1 0 1 2 3 4
11-4 Adding Integers
Check It Out: Example 1
Write the addition modeled on each number line.
C.
4
+ (–7)
The addition modeled is 4 + (–7) = –3.
–4 –3 –2 –1 0 1 2 3 4
11-4 Adding Integers
Additional Example 2A: Adding Integers
Find the sum.
–3 + (–2)
–6 –5 –4 –3 –2 –1 0 1
–3+ (–2)
–3 + (–2) = –5
Think:
11-4 Adding Integers
Additional Example 2B: Adding Integers
Find the sum.
6 + (–8)
6 + (–8) = –2
+(–8)
6
–3 –2 –1 0 1 2 3 4 5 6 7
Think:
11-4 Adding Integers
Check It Out: Example 2A
Find the sum.
–2 + (–4)
–6 –5 –4 –3 –2 –1 0 1
–2+ (–4)
–2 + (–4) = –6
Think:
11-4 Adding Integers
Check It Out: Example 2B
Find the sum.
3 + (–6)
3 + (–6) = –3
+ (–6)
3
–3 –2 –1 0 1 2 3 4 5 6 7
Think:
11-4 Adding Integers
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.
11-4 Adding Integers
Check It Out: Example 3
Evaluate z + (–4) for z = 2.
z + (–4) Write the expression.
2 + (–4) Substitute 2 for z.
–2 Add.
11-4 Adding Integers
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.
–12 + 35
23
The plane is 23 m above the sea.
11-4 Adding Integers
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.
–33 + 54
21
The plane is 21 m above the sea.
11-4 Adding Integers
Lesson QuizFind each sum.
1. 7 + (–3)
2. –5 + 2
3. –8 + (–4)
4. Evaluate x + 5 for x = –4.
5. At midnight on a winter night, the temperature
was –12°F. By 10 A.M. the temperature had risen
42°F. What was the new temperature?
–3
4
–12
1
30°F
11-4 Adding Integers
1. Find the sum. 13 + (–5)
A. 8
B. –8
C. 18
D. –18
Lesson Quiz for Student Response Systems
11-4 Adding Integers
2. Find the sum. –12 + 5
A. 7
B. –7
C. 17
D. –17
Lesson Quiz for Student Response Systems
11-4 Adding Integers
3. Find the sum. –18 + (–5)
A. 13
B. –13
C. 23
D. –23
Lesson Quiz for Student Response Systems
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