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The Distributive Property. The distributive property is mental math strategy that can be used when multiplying. 43 x 5 =?. Break apart the double-digit number. 43 x 5 =?. 40 3. +. Then multiply each part by 5. 43 x 5 =?. 40 3. +. x 5 x 5.

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Break apart the double-digit number. be used when multiplying.

43 x 5 =?

40 3

+


Then multiply each part by 5. be used when multiplying.

43 x 5 =?

40 3

+

x 5x 5


Then multiply each part by 5. be used when multiplying.

43 x 5 =?

40 3

+

x 5x 5

200 15


Finally, sum your two products be used when multiplying.

43 x 5 =215

40 3

+

x 5x 5

200 15

+

= 215


Let s look at another example
Let’s look at another example. be used when multiplying.

53 x 6 = ?


Break apart the double-digit number. be used when multiplying.

53 x 6 = ?


Break apart the double-digit number. be used when multiplying.

53 x 6 = ?

50 3

+


Multiply each part by 6. be used when multiplying.

53 x 6 = ?

50 3

+

x 6x 6


Multiply each part by 6. be used when multiplying.

53 x 6 = ?

50 3

+

x 6x 6

300 18


Sum the two products. be used when multiplying.

53 x 6 = 318

50 3

+

x 6x 6

300 + 18 = 318


There are three steps to the distributive property
There are three steps to the distributive property. be used when multiplying.

4 x 28 =


There are three steps to the distributive property. be used when multiplying.

4 x 28 =

1) Break apart the double-digit number.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8)

1) Break apart the double-digit number.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = (4 x 20) + (4 x 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = (4 x 20) + (4 x 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = 80 + (4 x 8)

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = 80 + 32

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


There are three steps to the distributive property. be used when multiplying.

4 x 28 = 4 x (20 + 8) = 80 + 32 = 112

  • Break apart the double-digit number.

  • Multiply each part by 4. (distribute the 4)

  • Sum the two products.


The word distribute means to give out
The word “distribute” means be used when multiplying.“to give out.”


Distribute the cubes to the girls
Distribute the cubes to the girls. be used when multiplying.


Distribute the cubes to the girls1
Distribute the cubes to the girls. be used when multiplying.


Distribute the cubes to the girls2
Distribute the cubes to the girls. be used when multiplying.


Distribute the cubes to the girls3
Distribute the cubes to the girls. be used when multiplying.


Distribute the cubes to the girls4
Distribute the cubes to the girls. be used when multiplying.


Distribute the cubes to the girls5
Distribute the cubes to the girls. be used when multiplying.


In this example the 5 was distributed
In this example, the 5 was distributed. be used when multiplying.

5 x 38 = 5 x (30 + 8) = (5 x 30) + (5 x 8)


In this example the 7 was distributed
In this example, the 7 was distributed. be used when multiplying.

7 x 46 = 7 x (40 + 6) = (7 x 40) + (7 x 6)


Find the area of the rectangle area length x width
Find the area of the rectangle. be used when multiplying.Area = length x width

6 ft

24 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

6 ft

24 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

6 ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

6 ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

6 ft

6 ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Find the area of each rectangle.

6 ft

6 ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Find the area of each rectangle.

6 ft

6 ft

6 x 20 = 120 sq ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Find the area of each rectangle.

6 ft

6 ft

6 x 20 = 120 sq ft

6 x 4 = 24

sq ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Find the area of each rectangle.

6 ft

6 ft

120 sq ft

24 sq ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Now put the two rectangles back together.

6 ft

6 ft

120 sq ft

24 sq ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Now put the two rectangles back together.

6 ft

120 sq ft

24 sq ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Now put the two rectangles back together.

6 ft

120 sq ft

24 sq ft

20 ft + 4 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Now put the two rectangles back together.

6 ft

120 sq ft

+ 24 sq ft

24 ft


Find the area of the rectangle. be used when multiplying.Area = length x width

Now put the two rectangles back together.

6 ft

144 sq ft

24 ft


A swimming pool has a shallow end and a deep end find the surface area of the pool
A swimming pool has a shallow end and a deep end. Find the surface area of the pool.

deepwater

8 yds

shallow water

5 yds

10 yds


Break the pool into a deep end and a shallow end
Break the pool into a deep end and a shallow end. surface area of the pool.

deepwater

8 yds

8 yds

shallow water

10 yds

5 yds


Find the area of the deep end. surface area of the pool.

deepwater

8 yds

8 yds

shallow water

10 yds

5 yds


Find the area of the deep end. surface area of the pool.

8 x 5 = 40

8 yds

8 yds

shallow water

10 yds

5 yds


Find the area of the shallow end. surface area of the pool.

8 x 5 = 40

8 yds

8 yds

shallow water

10 yds

5 yds


Find the area of the shallow end. surface area of the pool.

8 x 5 = 40

8 yds

8 yds

8 x 10 = 80

10 yds

5 yds


Now sum the two areas together. surface area of the pool.

8 x 5 = 40

8 yds

8 yds

8 x 10 = 80

10 yds

5 yds


Now sum the two areas together. surface area of the pool.

40

80

+

8 yds

10 yds

5 yds


40 + 80 = 120 square yards surface area of the pool.

40

80

8 yds

5 yds

10 yds


Write an expression that shows how to find the area of the rectangle and uses the distributive property.

9 yds

5 yds

20 yds


Find the areas for each individual rectangle. rectangle and uses the distributive property.

9 yds

5 yds

20 yds


Find the areas for each individual rectangle. rectangle and uses the distributive property.

9 yds

(9 x 5)

5 yds

20 yds


Find the areas for each individual rectangle. rectangle and uses the distributive property.

9 yds

(9 x 5)

(9 x 20)

5 yds

20 yds


Sum the two areas. rectangle and uses the distributive property.

9 yds

+

(9 x 5)

(9 x 20)

5 yds

20 yds


(9 x 5) + (9 x 20) = area rectangle and uses the distributive property.

9 yds

(9 x 5)

(9 x 20)

5 yds

20 yds


Practice time
Practice Time rectangle and uses the distributive property.


1 which of the following expressions shows the distributive property for 5 x 3 7
1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?

(5 + 3) x (5 + 7)

(5 x 3) x (5 x 7)

(5 x 3) + (5 x 7)


1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?

Correct!

(5 x 3) + (5 x 7)


2 which of the following expressions shows the distributive property for 3 x 9 4
2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?

(3 x 9) + (3 x 4)

(3 + 9) + (3 + 4)

(3 + 9) x (3 + 4)


2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?

(3 x 9) + (3 x 4)

Correct!


3 which of the following expressions is equivalent to 2 3 2 3 and shows the distributive property
3) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?2 + 3 + 2 + 3 and shows the distributive property.

2 + 2 + 3 + 3

2 x (2 + 3)

3 x (2 + 3)


3) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?2 + 3 + 2 + 3 and uses the distributive property.

2 x (2 + 3)

Correct!


4 which of the following expressions is equivalent to 4 x 3 4 x 8
4) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?(4 x 3) + (4 x 8) ?

3 x (4 + 8)

8 x (3 + 4)

4 x (3 + 8)


4) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?(4 x 3) + (4 x 8) ?

Correct!

4 x (3 + 8)


5) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?(5 x 9) + (5 x 3) ?

3 x (9 + 5)

5 x (9 + 3)

9 x (3 + 5)


5) Which of the following expressions is equivalent to: property for 3 x (9 + 4) ?(5 x 9) + (5 x 3) ?

5 x (9 + 3)

Correct!


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 yds

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 yds

4 yds

4 x 3

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 yds

4 yds

4 x 3

4 x 9

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 x 3

4 x 9

4 yds

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 x 3

4 x 9

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 x 3

4 x 9

4 yds

3 yds

9 yds


6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

4 x 3 +

4 x 9

4 yds

3 yds

9 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 yds

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 yds

6 yds

6 x 4

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 yds

6 yds

6 x 4

6 x 8

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 x 4

6 x 8

6 yds

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 x 4

6 x 8

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 x 4

6 x 8

6 yds

4 yds

8 yds


7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

6 x 4 +

6 x 8

6 yds

4 yds

8 yds


8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

5 yds

2 yds

10 yds


8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

5 yds

5 x 2

5 x 10

2 yds

10 yds


8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

5 x 2 +

5 x 10

5 yds

2 yds

10 yds


9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

8 yds

3 yds

5 yds


9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

8 yds

8 x 3

8 x 5

3 yds

5 yds


9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

8 x 3 +

8 x 5

8 yds

3 yds

5 yds


10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

5 yds

x yds

10 yds


10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

5 yds

5x

5 ∙ 10

x yds

10 yds


10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.

5x +

5 ∙ 10

5 yds

x yds

10 yds


11 which expression is equivalent to 3 x 7
11) Which expression is equivalent to 3(x + 7)? the rectangle and uses the distributive property.

x + 10

x + 21

3x + 7

3x + 21


11) Which expression is equivalent to 3(x + 7)? the rectangle and uses the distributive property.

Correct!

3x + 21


12) Which expression is equivalent to 4(x + 5)? the rectangle and uses the distributive property.

x + 9

4x + 20

4x + 5

9x


12) Which expression is equivalent to 4(x + 5)? the rectangle and uses the distributive property.

4x + 20

Correct!


13) Which expression is equivalent to 8(x + 2)? the rectangle and uses the distributive property.

10x

8x + 2

8x + 16

8x + 10


13) Which expression is equivalent to 8(x + 2)? the rectangle and uses the distributive property.

8x + 16

Correct!


14) Which expression is equivalent to 2(x + 3)? the rectangle and uses the distributive property.

2x + 6

2x + 5

2x + 3

2x + 2


14) Which expression is equivalent to 2(x + 3)? the rectangle and uses the distributive property.

2x + 6

Correct!


The end
The End. the rectangle and uses the distributive property.


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