7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 1/29

Subtracting Integers

Objective: Subtract integers

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 2/29

5-Minute Check

Solve for the unknown in each equation.

1.   – 4 + (-3) = a

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 3/29

5-Minute Check

Solve for the unknown in each equation.

1.   – 4 + (-3) = a a = -7

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 4/29

5-Minute Check

Solve for the unknown in each equation.

1.   – 4 + (-3) = a

2. b = 2 + (-6)

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 5/29

5-Minute Check

Solve for the unknown in each equation.

1.   – 4 + (-3) = a

2. b = 2 + (-6)  b = -4

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 6/29

5-Minute Check

Solve for the unknown in each equation.

1.   – 4 + (-3) = a

2. b = 2 + (-6)

3. -1 + 4 + (-6) = c

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 7/29

5-Minute Check

Solve for the unknown in each equation.

1.   – 4 + (-3) = a

2. b = 2 + (-6)

3. -1 + 4 + (-6) = c c = -3

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 8/29

5-Minute Check

Simplify each expression.

4. 15x + (-22x) + 2x

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 9/29

5-Minute Check

Simplify each expression.

4. 15x + (-22x) + 2x -5x

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 10/29

5-Minute Check

Simplify each expression.

4. 15x + (-22x) + 2x

5. -2x + (-6x) + (-5x)

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 11/29

5-Minute Check

Simplify each expression.

4. 15x + (-22x) + 2x

5. -2x + (-6x) + (-5x) -13x

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 12/29

Subtracting Integers

Subtracting IntegersTo subtract an integer, add its additive inverse.

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 13/29

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 14/29

Subtracting Integers

Example

Solve each equation.

a. n = 6 –  (-4)

n = 6 – 

 (-4) To subtract – 

4, add 4

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 15/29

Subtracting Integers

Example

Solve each equation.

a. n = 6 –  (-4)

n = 6 – 

 (-4) To subtract – 

4, add 4n = 6 + 4

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 16/29

Subtracting Integers

Example

Solve each equation.

a. n = 6 –  (-4)

n = 6 – 

 (-4) To subtract – 

4, add 4n = 6 + 4

n = 10

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 17/29

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 18/29

Subtracting Integers

Example

Solve each equation.

b. (-3) –  (-7) = y

(-3) – 

 (-7) = y To subtract – 

7, add 7

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 19/29

Subtracting Integers

Example

Solve each equation.

b. (-3) –  (-7) = y

(-3) – 

 (-7) = y To subtract – 

7, add 7(-3) + 7 = y

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 20/29

Subtracting Integers

Example

Solve each equation.

b. (-3) –  (-7) = y

(-3) – 

 (-7) = y To subtract – 

7, add 7(-3) + 7 = y

4 = y

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 21/29

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 22/29

Subtracting Integers

Example

Solve each equation.

c. (-11) –  5 = u

(-11) – 

 5 = u To subtract 5, add – 

5

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 23/29

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 24/29

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 25/29

Subtracting Integers

Example

Solve each equation.

d. x = 13 –  15

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 26/29

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 27/29

Subtracting Integers

Example

Solve each equation.

d. x = 13 –  15

x = 13 – 

 15 To subtract 15, add – 

15x = 13 + (-15)

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 28/29

Subtracting Integers

Example

Solve each equation.

d. x = 13 –  15

x = 13 – 

 15 To subtract 15, add – 

15x = 13 + (-15)

x = -2

7/22/2019 Pre Algebra Lesson 2 5

http://slidepdf.com/reader/full/pre-algebra-lesson-2-5 29/29

Subtracting Integers

As a class, create a model for subtracting integers.