# 5 - the distributive property

Post on 13-Jan-2017

41 views

Category:

## Education

Embed Size (px)

TRANSCRIPT

• The Distributive Propertyhttp://www.slideshare.net/anthonymaiorano/5-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+

• Then multiply each part by 5.

43 x 5 =? 40 3 x 5 x 5 200 15+

• Finally, sum your two products

43 x 5 =215 40 3 x 5 x 5 200 15+= 215+

• Lets look at another example.53 x 6 = ?

• Break apart the double-digit number.53 x 6 = ?

• Break apart the double-digit number.53 x 6 = ?50 3+

• Multiply each part by 6.53 x 6 = ?50 3 x 6 x 6+

• Multiply each part by 6.53 x 6 = ?50 3 x 6 x 6 300 18+

• Sum the two products.53 x 6 = 31850 3 x 6 x 6 300 + 18 = 318+

• There are three steps to the distributive property.4 x 28 =

• There are three steps to the distributive property.4 x 28 =1) Break apart the double-digit number.

• There are three steps to the distributive property.4 x 28 = 4 x (20 + 8)1) Break apart the double-digit number.

• There are three steps to the distributive property.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.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.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.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.4 x 28 = 4 x (20 + 8) = 80 + 32Break 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.4 x 28 = 4 x (20 + 8) = 80 + 32 = 112Break apart the double-digit number.Multiply each part by 4. (distribute the 4)Sum the two products.

• The word distribute means to give out.

• Distribute the cubes to the girls.

• Distribute the cubes to the girls.

• Distribute the cubes to the girls.

• Distribute the cubes to the girls.

• Distribute the cubes to the girls.

• Distribute the cubes to the girls.

• In this example, the 5 was distributed.5 x 38 = 5 x (30 + 8) = (5 x 30) + (5 x 8)

• In this example, the 7 was distributed.7 x 46 = 7 x (40 + 6) = (7 x 40) + (7 x 6)

• Find the area of the rectangle.Area = length x width

6 ft24 ft

• Find the area of the rectangle.Area = length x width

6 ft24 ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

6 ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

6 ftFind the area of each rectangle.

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

6 ftFind the area of each rectangle.6 x 20 = 120 sq ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

6 ftFind the area of each rectangle.6 x 20 = 120 sq ft6 x 4 = 24 sq ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

6 ftFind the area of each rectangle.120 sq ft24 sq ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

6 ftNow put the two rectangles back together.120 sq ft24 sq ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

Now put the two rectangles back together.120 sq ft24 sq ft

• Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft

Now put the two rectangles back together.120 sq ft24 sq ft

• Find the area of the rectangle.Area = length x width6 ft24 ft

Now put the two rectangles back together.

120 sq ft + 24 sq ft

• Find the area of the rectangle.Area = length x width6 ft24 ft

Now put the two rectangles back together.

144 sq ft

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

shallow waterdeepwater8 yds5 yds 10 yds

• shallow waterdeepwater8 yds5 yds 10 yds

8 yds

Break the pool into a deep end and a shallow end.

• shallow waterdeepwater8 yds5 yds 10 yds

8 yds

Find the area of the deep end.

• shallow water8 x 5 = 408 yds5 yds 10 yds

8 yds

Find the area of the deep end.

• shallow water8 x 5 = 408 yds5 yds 10 yds

8 yds

Find the area of the shallow end.

• 8 x 10 = 808 x 5 = 408 yds5 yds 10 yds

8 yds

Find the area of the shallow end.

• 8 x 10 = 808 x 5 = 408 yds5 yds 10 yds

8 yds

Now sum the two areas together.

• 80 408 yds5 yds 10 yds

Now sum the two areas together.+

• 80 408 yds5 yds 10 yds

40 + 80 = 120 square yards

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

9 yds5 yds 20 yds

• Find the areas for each individual rectangle.

9 yds5 yds 20 yds

• Find the areas for each individual rectangle.

9 yds5 yds 20 yds

(9 x 5)

• Find the areas for each individual rectangle.

9 yds5 yds 20 yds

(9 x 5)(9 x 20)

• Sum the two areas.

9 yds5 yds 20 yds

(9 x 5)(9 x 20)+

• (9 x 5) + (9 x 20) = area

9 yds5 yds 20 yds

(9 x 5)(9 x 20)

• Practice Time

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

(5 x 3) + (5 x 7)

(5 x 3) x (5 x 7)(5 + 3) x (5 + 7)

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

(5 x 3) + (5 x 7)Correct!

• 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.

2 x (2 + 3)

2 + 2 + 3 + 3

3 x (2 + 3)

• 3) Which of the following expressions is equivalent to: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 x (3 + 8)

8 x (3 + 4) 3 x (4 + 8)

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

4 x (3 + 8) Correct!

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

9 x (3 + 5)

5 x (9 + 3) 3 x (9 + 5)

• 5) Which of the following expressions is equivalent to:(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 yds3 yds 9 yds

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

4 yds3 yds 9 yds

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

4 yds3 yds 9 yds

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

4 yds3 yds 9 yds

4 yds

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

4 yds3 yds 9 yds

4 yds

4 x 3

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

4 yds3 yds 9 yds

4 yds

4 x 34 x 9

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

4 yds3 yds 9 yds

4 yds

4 x 34 x 9

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

4 yds3 yds 9 yds

4 x 34 x 9

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

4 yds3 yds 9 yds

4 x 34 x 9

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

4 yds3 yds 9 yds

4 x 3 +4 x 9

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

6 yds4 yds 8 yds

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

6 yds4 yds 8 yds

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

6 yds4 yds 8 yds

• 7) Write an expressio