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Adding Integers

Objective: Add integers.

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

8/13/2019 Pre Algebra Lesson 2 4

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8 <

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

2. 0 # -4

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

2. 0 # -4 >

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

2. 0 # -4

Write an inequality using the numbers in each sentence.

Use the symbols < or >.

3. A steak sandwich costs $6. A steak dinner costs $11.

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

2. 0 # -4

Write an inequality using the numbers in each sentence.

Use the symbols < or >.

3. A steak sandwich costs $6. A steak dinner costs $11.

6 < 11

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

2. 0 # -4

Write an inequality using the numbers in each sentence.

Use the symbols < or >.

3. A steak sandwich costs $6. A steak dinner costs $11.

4. Yesterday’s low temperature was – 4F. The

temperature now is – 5F.

8/13/2019 Pre Algebra Lesson 2 4

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5-Minute Check

Replace each # with <, >, or =.

1.  – 9 # 8

2. 0 # -4

Write an inequality using the numbers in each sentence.

Use the symbols < or >.

3. A steak sandwich costs $6. A steak dinner costs $11.

4. Yesterday’s low temperature was – 4F. The

temperature now is – 5F. -5 < -4 

8/13/2019 Pre Algebra Lesson 2 4

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Adding Integers

Adding Integers with the Same Sign

Add the absolute values.

The sum will have the same sign as the addends.

Example 1

Find – 2 + (-3)

-6 -4-5 1 20-1-2-3

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Adding Integers

Adding Integers with the Same Sign

Add the absolute values.

The sum will have the same sign as the addends.

Example 1

Find – 2 + (-3)

-6 -4-5 1 20-1-2-3

Start at zero. Move 2 units to the left.

Then, move 3 more units to the left.

8/13/2019 Pre Algebra Lesson 2 4

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Adding Integers

Adding Integers with the Same Sign

Add the absolute values.

The sum will have the same sign as the addends.

Example 1

Find – 2 + (-3)

-6 -4-5 1 20-1-2-3

Start at zero. Move 2 units to the left.

Then, move 3 more units to the left.

 – 2 + (-3) = -5

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 2

Find – 4 + 5

-6 -4-5 1 20-1-2-3

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 2

Find – 4 + 5

-6 -4-5 1 20-1-2-3

Start at zero. Move 4 units to the

left. From there, move 5 units to

the right.

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 2

Find – 4 + 5

-6 -4-5 1 20-1-2-3

Start at zero. Move 4 units to the

left. From there, move 5 units to

the right.

 – 4 + 5 = 1

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 3

Solve x = 10 + (-4) + (-7).

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 3

Solve x = 10 + (-4) + (-7).

x = 10 + (-4) + (-7) Add – 4 and – 7.

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 3

Solve x = 10 + (-4) + (-7).

x = 10 + (-4) + (-7)

= 10 + (-11)

Add – 4 and – 7.

Subtract absolute values.

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Adding Integers

Adding Integers with Different Sign

Subtract the absolute values of the integers.

The difference will have the same sign of the

integer with the greater absolute value.Example 3

Solve x = 10 + (-4) + (-7).

x = 10 + (-4) + (-7)

= 10 + (-11)= -1

Add – 4 and – 7.

Subtract absolute values. Theresult is negative because

|-11| > |10|.

8/13/2019 Pre Algebra Lesson 2 4

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Adding Integers

Practice

a. Find – 5 + 11

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11 +6

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6) +8

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

8/13/2019 Pre Algebra Lesson 2 4

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6 +4

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11) -5

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)

e. Find – 4 + (-5)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)

e. Find – 4 + (-5) -9

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)

e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10) -7

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5) -8

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5) 4

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4) -11

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

 j. Find 4 + (-9) + 5

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

 j. Find 4 + (-9) + 5 0

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

 j. Find 4 + (-9) + 5k. Find – 4 + (-5) + 3

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

 j. Find 4 + (-9) + 5k. Find – 4 + (-5) + 3 -6

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

 j. Find 4 + (-9) + 5k. Find – 4 + (-5) + 3

l. Find 6 + (-7) + (-5)

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Adding Integers

Practice

a. Find – 5 + 11

 b. Find 14 + (-6)

c. Find – 2 + 6

d. Find 6 + (-11)e. Find – 4 + (-5)

f. Find 3 + (-10)

-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6

g. Find – 3 + (-5)

h. Find 13 + (-4) + (-5)

i. Find – 12 + 5 + (-4)

 j. Find 4 + (-9) + 5k. Find – 4 + (-5) + 3

l. Find 6 + (-7) + (-5) -6