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9-4 Adding Integers

6th Grade Math HOMEWORK

Page 467

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9-4 Adding Integers

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Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

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

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9-4 Adding Integers

2913

5

Today’s Learning Goal Assignment

Learn to add integers.

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9-4 Adding Integers

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9-4 Adding Integers

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.

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9-4 Adding Integers

Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers.

–2 + (–5) = –7

Writing Math

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9-4 Adding Integers

Additional Example 1A & 1B: 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.

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9-4 Adding Integers

Try This: Example 1A & 1B

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

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9-4 Adding Integers

Additional Example 1C: 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

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9-4 Adding Integers

Try This: Example 1C

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

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9-4 Adding Integers

Additional Example 2A: Adding Integers

Find the sum.

A. –3 + (–2)

–6 –5 –4 –3 –2 –1 0 1

–3+ (–2)

–3 + (–2) = –5

Think:

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9-4 Adding Integers

Try This: Example 2A

Find the sum.

A. –2 + (–4)

–6 –5 –4 –3 –2 –1 0 1

–2+ (–4)

–2 + (–4) = –6

Think:

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9-4 Adding Integers

Additional Example 2B: Adding Integers

Find the sum.

B. 6 + (–8)

6 + (–8) = –2

+(–8)

6

–3 –2 –1 0 1 2 3 4 5 6 7

Think:

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9-4 Adding Integers

Try This: Example 2B

Find the sum.

B. 3 + (–6)

3 + (–6) = –3

+ (–6)

3

–3 –2 –1 0 1 2 3 4 5 6 7

Think:

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9-4 Adding Integers

Additional Example 3: Evaluating Integer Expressions

Evaluate y + (–2) for each value of y.

A. y = 7

B. y = 1

y + (–2) Write the expression.

7 + (–2) Substitute 7 for y.

5 Add.

y + (–2) Write the expression.

1 + (–2) Substitute 1 for y.

–1 Add.

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9-4 Adding Integers

Try This: Example 3

Evaluate z + (–4) for each value of z.

A. z = 2

B. z = 3

z + (–4) Write the expression.

2 + (–4) Substitute 2 for z.

–2 Add.

z + (–4) Write the expression.

3 + (–4) Substitute 3 for z.

–1 Add.

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9-4 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.

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9-4 Adding Integers

Try This: Example 4

A sunken ship is 33 m below the sea level. A search plane flies 54 m above the sunken ship. How far above the sea is the plane?

The ship is 33 m below the sea level and the plane is 54 m above the ship.

–33 + 54

21

The plane is 21 m above the sea.

End of the Lesson Quiz!!!• Take out a lined piece of paper

• Put the heading on it: full name, date, class period, title (9-4 Lesson Quiz)

• Complete the 9-4 Lesson Quiz independently

• Turn it in when you have completed it

• Make sure you filled in your agenda

Lesson Quiz (answers have been deleted)

Find 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?

Insert Lesson Title Here

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9-4 Adding Integers