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# The Distributive Property - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' The Distributive Property' - hannah-long

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### The Distributive Property

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. 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. 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 be used when multiplying.“to give out.”

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

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

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

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

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

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

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. be used when multiplying.

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

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.

deepwater

8 yds

shallow water

5 yds

10 yds

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 rectangle and uses the distributive property.

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) ?

(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: 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: 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)? 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 rectangle and uses the distributive property.