Download Presentation
## The Distributive Property

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**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 5x 5**Then multiply each part by 5.**43 x 5 =? 40 3 + x 5x 5 200 15**Finally, sum your two products**43 x 5 =215 40 3 + x 5x 5 200 15 + = 215**Let’s 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 6x 6**Multiply each part by 6.**53 x 6 = ? 50 3 + x 6x 6 300 18**Sum the two products.**53 x 6 = 318 50 3 + x 6x 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 + 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.**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.**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 ft 24 ft**Find the area of the rectangle.Area = length x width**6 ft 24 ft**Find the area of the rectangle.Area = length x width**6 ft 20 ft + 4 ft**Find the area of the rectangle.Area = length x width**6 ft 20 ft + 4 ft**Find the area of the rectangle.Area = length x width**6 ft 6 ft 20 ft + 4 ft**Find the area of the rectangle.Area = length x width**Find the area of each rectangle. 6 ft 6 ft 20 ft + 4 ft**Find the area of the rectangle.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.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.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.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.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.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.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.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.**deepwater 8 yds 8 yds shallow water 10 yds 5 yds**Find the area of the deep end.**deepwater 8 yds 8 yds shallow water 10 yds 5 yds**Find the area of the deep end.**8 x 5 = 40 8 yds 8 yds shallow water 10 yds 5 yds**Find the area of the shallow end.**8 x 5 = 40 8 yds 8 yds shallow water 10 yds 5 yds**Find the area of the shallow end.**8 x 5 = 40 8 yds 8 yds 8 x 10 = 80 10 yds 5 yds