5 - the distributive property

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<ul><li><p>The Distributive Propertyhttp://www.slideshare.net/anthonymaiorano/5-the-distributive-property</p></li><li><p>The distributive property is mental math strategy that can be used when multiplying.</p><p>43 x 5 =?</p></li><li><p>Break apart the double-digit number.</p><p>43 x 5 =? 40 3+</p></li><li><p>Then multiply each part by 5.</p><p>43 x 5 =? 40 3 x 5 x 5+</p></li><li><p>Then multiply each part by 5.</p><p>43 x 5 =? 40 3 x 5 x 5 200 15+</p></li><li><p>Finally, sum your two products</p><p>43 x 5 =215 40 3 x 5 x 5 200 15+= 215+</p></li><li><p>Lets look at another example.53 x 6 = ?</p></li><li><p>Break apart the double-digit number.53 x 6 = ?</p></li><li><p>Break apart the double-digit number.53 x 6 = ?50 3+</p></li><li><p>Multiply each part by 6.53 x 6 = ?50 3 x 6 x 6+</p></li><li><p>Multiply each part by 6.53 x 6 = ?50 3 x 6 x 6 300 18+</p></li><li><p>Sum the two products.53 x 6 = 31850 3 x 6 x 6 300 + 18 = 318+</p></li><li><p>There are three steps to the distributive property.4 x 28 =</p></li><li><p>There are three steps to the distributive property.4 x 28 =1) Break apart the double-digit number.</p></li><li><p>There are three steps to the distributive property.4 x 28 = 4 x (20 + 8)1) Break apart the double-digit number.</p></li><li><p>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)</p></li><li><p>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)</p></li><li><p>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.</p></li><li><p>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.</p></li><li><p>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.</p></li><li><p>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.</p></li><li><p>The word distribute means to give out.</p></li><li><p>Distribute the cubes to the girls.</p></li><li><p>Distribute the cubes to the girls.</p></li><li><p>Distribute the cubes to the girls.</p></li><li><p>Distribute the cubes to the girls.</p></li><li><p>Distribute the cubes to the girls.</p></li><li><p>Distribute the cubes to the girls.</p></li><li><p>In this example, the 5 was distributed.5 x 38 = 5 x (30 + 8) = (5 x 30) + (5 x 8)</p></li><li><p>In this example, the 7 was distributed.7 x 46 = 7 x (40 + 6) = (7 x 40) + (7 x 6)</p></li><li><p>Find the area of the rectangle.Area = length x width</p><p>6 ft24 ft</p></li><li><p>Find the area of the rectangle.Area = length x width</p><p>6 ft24 ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>6 ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>6 ftFind the area of each rectangle.</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>6 ftFind the area of each rectangle.6 x 20 = 120 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>6 ftFind the area of each rectangle.6 x 20 = 120 sq ft6 x 4 = 24 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>6 ftFind the area of each rectangle.120 sq ft24 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>6 ftNow put the two rectangles back together.120 sq ft24 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>Now put the two rectangles back together.120 sq ft24 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft20 ft+ 4 ft</p><p>Now put the two rectangles back together.120 sq ft24 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft24 ft</p><p>Now put the two rectangles back together.</p><p>120 sq ft + 24 sq ft</p></li><li><p>Find the area of the rectangle.Area = length x width6 ft24 ft</p><p>Now put the two rectangles back together.</p><p>144 sq ft</p></li><li><p>A swimming pool has a shallow end and a deep end. Find the surface area of the pool.</p><p>shallow waterdeepwater8 yds5 yds 10 yds</p></li><li><p>shallow waterdeepwater8 yds5 yds 10 yds</p><p>8 yds</p><p>Break the pool into a deep end and a shallow end.</p></li><li><p>shallow waterdeepwater8 yds5 yds 10 yds</p><p>8 yds</p><p>Find the area of the deep end.</p></li><li><p>shallow water8 x 5 = 408 yds5 yds 10 yds</p><p>8 yds</p><p>Find the area of the deep end.</p></li><li><p>shallow water8 x 5 = 408 yds5 yds 10 yds</p><p>8 yds</p><p>Find the area of the shallow end.</p></li><li><p>8 x 10 = 808 x 5 = 408 yds5 yds 10 yds</p><p>8 yds</p><p>Find the area of the shallow end.</p></li><li><p>8 x 10 = 808 x 5 = 408 yds5 yds 10 yds</p><p>8 yds</p><p>Now sum the two areas together.</p></li><li><p>80 408 yds5 yds 10 yds</p><p>Now sum the two areas together.+</p></li><li><p>80 408 yds5 yds 10 yds</p><p>40 + 80 = 120 square yards</p></li><li><p>Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>9 yds5 yds 20 yds</p></li><li><p>Find the areas for each individual rectangle.</p><p>9 yds5 yds 20 yds</p></li><li><p>Find the areas for each individual rectangle.</p><p>9 yds5 yds 20 yds</p><p>(9 x 5)</p></li><li><p>Find the areas for each individual rectangle.</p><p>9 yds5 yds 20 yds</p><p>(9 x 5)(9 x 20)</p></li><li><p>Sum the two areas.</p><p>9 yds5 yds 20 yds</p><p>(9 x 5)(9 x 20)+</p></li><li><p>(9 x 5) + (9 x 20) = area</p><p>9 yds5 yds 20 yds</p><p>(9 x 5)(9 x 20)</p></li><li><p>Practice Time</p></li><li><p>1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?</p><p>(5 x 3) + (5 x 7)</p><p>(5 x 3) x (5 x 7)(5 + 3) x (5 + 7)</p></li><li><p>1) Which of the following expressions shows the distributive property for 5 x (3 + 7)?</p><p>(5 x 3) + (5 x 7)Correct!</p></li><li><p>2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?</p><p>(3 x 9) + (3 x 4)</p><p>(3 + 9) + (3 + 4)(3 + 9) x (3 + 4)</p></li><li><p>2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ?</p><p>(3 x 9) + (3 x 4)Correct!</p></li><li><p>3) Which of the following expressions is equivalent to:2 + 3 + 2 + 3 and shows the distributive property.</p><p>2 x (2 + 3)</p><p>2 + 2 + 3 + 3</p><p>3 x (2 + 3)</p></li><li><p>3) Which of the following expressions is equivalent to:2 + 3 + 2 + 3 and uses the distributive property.</p><p>2 x (2 + 3)Correct!</p></li><li><p>4) Which of the following expressions is equivalent to:(4 x 3) + (4 x 8) ?</p><p>4 x (3 + 8) </p><p>8 x (3 + 4) 3 x (4 + 8) </p></li><li><p>4) Which of the following expressions is equivalent to:(4 x 3) + (4 x 8) ?</p><p>4 x (3 + 8) Correct!</p></li><li><p>5) Which of the following expressions is equivalent to:(5 x 9) + (5 x 3) ?</p><p>9 x (3 + 5) </p><p>5 x (9 + 3) 3 x (9 + 5) </p></li><li><p>5) Which of the following expressions is equivalent to:(5 x 9) + (5 x 3) ?</p><p>5 x (9 + 3) Correct!</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 yds</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 yds</p><p>4 x 3</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 yds</p><p>4 x 34 x 9</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 yds</p><p>4 x 34 x 9</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 x 34 x 9</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 x 34 x 9</p></li><li><p>6) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>4 yds3 yds 9 yds</p><p>4 x 3 +4 x 9</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 yds</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 yds</p><p>6 x 4 </p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 yds</p><p>6 x 4 6 x 8</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 yds</p><p>6 x 4 6 x 8</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 x 4 6 x 8</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 x 4 6 x 8</p></li><li><p>7) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>6 yds4 yds 8 yds</p><p>6 x 4 +6 x 8</p></li><li><p>8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>5 yds2 yds 10 yds</p></li><li><p>8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>5 yds2 yds 10 yds</p><p>5 x 25 x 10 </p></li><li><p>8) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>5 yds2 yds 10 yds</p><p>5 x 2 +5 x 10 </p></li><li><p>9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>8 yds3 yds 5 yds</p></li><li><p>9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>8 yds3 yds 5 yds</p><p>8 x 38 x 5 </p></li><li><p>9) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>8 yds3 yds 5 yds</p><p>8 x 3 +8 x 5 </p></li><li><p>10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>5 ydsx yds 10 yds</p></li><li><p>10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>5 ydsx yds 10 yds</p><p>5x5 10 </p></li><li><p>10) Write an expression that shows how to find the area of the rectangle and uses the distributive property.</p><p>5 ydsx yds 10 yds</p><p>5x +5 10 </p></li><li><p>11) Which expression is equivalent to 3(x + 7)?</p><p>3x + 7 </p><p>x + 21 x + 10 </p><p>3x + 21 </p></li><li><p>11) Which expression is equivalent to 3(x + 7)?</p><p>3x + 21 Correct!</p></li><li><p>12) Which expression is equivalent to 4(x + 5)?</p><p>4x + 5 </p><p>4x + 20 x + 9 </p><p>9x </p></li><li><p>12) Which expression is equivalent to 4(x + 5)?</p><p>4x + 20 Correct!</p></li><li><p>13) Which expression is equivalent to 8(x + 2)?</p><p>8x + 16 </p><p>8x + 210x </p><p>8x + 10</p></li><li><p>13) Which expression is equivalent to 8(x + 2)?</p><p>8x + 16 Correct!</p></li><li><p>14) Which expression is equivalent to 2(x + 3)?</p><p>2x + 3 </p><p>2x + 52x + 6 </p><p>2x + 2</p></li><li><p>14) Which expression is equivalent to 2(x + 3)?</p><p>2x + 6 Correct!</p></li><li><p>The End.</p></li><li><p>3) Which of the following expressions is equivalent to:2 + 3 + 2 + 3 and uses the distributive property.2 + 2 + 3 + 3This shows the commutative property.</p><p>Try again.</p></li><li><p>Sorry!Try again.</p></li></ul>

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