1 5 the distributive property
Download
1 / 28

1-5 The Distributive Property - PowerPoint PPT Presentation


  • 88 Views
  • Uploaded on

1-5 The Distributive Property. Objective: Simplify algebraic expressions using the distributive property. 5-Minute Check. Name the property shown by each statement. (4b)c = 4(bc). 5-Minute Check. Name the property shown by each statement. (4b)c = 4(bc) associative, X. 5-Minute Check.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' 1-5 The Distributive Property' - gezana


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
1 5 the distributive property

1-5 The Distributive Property

Objective: Simplify algebraic expressions using the distributive property.


5 minute check
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)


5 minute check1
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc) associative, X


5 minute check2
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)

  • (7 + 4)0 = 0


5 minute check3
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)

  • (7 + 4)0 = 0 mult. prop. of 0


5 minute check4
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)

  • (7 + 4)0 = 0

    Find each sum or product mentally.

    3. 18 + 13 + 2 + 7


5 minute check5
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)

  • (7 + 4)0 = 0

    Find each sum or product mentally.

    3. 18 + 13 + 2 + 7 40


5 minute check6
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)

  • (7 + 4)0 = 0

    Find each sum or product mentally.

    3. 18 + 13 + 2 + 7

    4. 6 . 7 . 5


5 minute check7
5-Minute Check

Name the property shown by each statement.

  • (4b)c = 4(bc)

  • (7 + 4)0 = 0

    Find each sum or product mentally.

    3. 18 + 13 + 2 + 7

    4. 6 . 7 . 5 210


5 minute check8
5-Minute Check

Find each sum or product mentally.

5. A recent study showed that 63 million Americans choose swimming as their favorite sport, 55 million chose hiking, and 47 million chose camping. How many people chose one of these three sports as their favorite?


5 minute check9
5-Minute Check

Find each sum or product mentally.

5. A recent study showed that 63 million Americans choose swimming as their favorite sport, 55 million chose hiking, and 47 million chose camping. How many people chose one of these three sports as their favorite? 165 million



The distributive property1
The Distributive Property

Example 1

Find 11(13) mentally using the distributive property.


The distributive property2
The Distributive Property

Example 1

Find 11(13) mentally using the distributive property.

11(13) = 11(10 + 3) Replace 13 with 10 + 3.


The distributive property3
The Distributive Property

Example 1

Find 11(13) mentally using the distributive property.

11(13) = 11(10 + 3) Replace 13 with 10 + 3.

=11.10 + 11.3 Think of 110 + 33.


The distributive property4
The Distributive Property

Example 1

Find 11(13) mentally using the distributive property.

11(13) = 11(10 + 3) Replace 13 with 10 + 3.

=11.10 + 11.3 Think of 110 + 33.

= 110 + 33 or 143


The distributive property5
The Distributive Property

  • Example 2

  • Simplify each expression.

  • 56x + 73x


The distributive property6
The Distributive Property

  • Example 2

  • Simplify each expression.

  • 56x + 73x

  • 56x + 73x = (56 + 73)x x is a factor in both 56x and 73x.


The distributive property7
The Distributive Property

  • Example 2

  • Simplify each expression.

  • 56x + 73x

  • 56x + 73x = (56 + 73)x x is a factor in both 56x and 73x.

  • = 129x Use the distributive property.


The distributive property8
The Distributive Property

Example 2

Simplify each expression.

b. 5a + a


The distributive property9
The Distributive Property

Example 2

Simplify each expression.

b. 5a + a

5a + a = 5a + 1a a = 1.a by multiplicative property.


The distributive property10
The Distributive Property

Example 2

Simplify each expression.

b. 5a + a

5a + a = 5a + 1a a = 1.a by multiplicative property.

= (5 + 1)a Distributive property


The distributive property11
The Distributive Property

Example 2

Simplify each expression.

b. 5a + a

5a + a = 5a + 1a a = 1.a by multiplicative property.

= (5 + 1)a Distributive property

= 6a


The distributive property12
The Distributive Property

  • Example 2

  • Simplify each expression.

  • (8 + x)5 + 2x


The distributive property13
The Distributive Property

  • Example 2

  • Simplify each expression.

  • (8 + x)5 + 2x

  • (8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property


The distributive property14
The Distributive Property

  • Example 2

  • Simplify each expression.

  • (8 + x)5 + 2x

  • (8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property

  • = 40 +5x + 2x Substitution Property


The distributive property15
The Distributive Property

  • Example 2

  • Simplify each expression.

  • (8 + x)5 + 2x

  • (8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property

  • = 40 +5x + 2x Substitution Property

  • = 40 +(5 + 2)x Distributive Property


The distributive property16
The Distributive Property

  • Example 2

  • Simplify each expression.

  • (8 + x)5 + 2x

  • (8 + x)5 + 2x = 8.5 + x.5 + 2x Distributive Property

  • = 40 +5x + 2x Substitution Property

  • = 40 +(5 + 2)x Distributive Property

  • = 40 + 7x Substitution Property


ad