Distributive Property

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Presentation transcript:

Distributive Property

Three friends went to a baseball game Three friends went to a baseball game. Each ticket cost $20 and all three friends bought a baseball hat for $15 each. How can you find the total spent using two different ways? (3x 20) + (3 x 15) 3(20+15) Solve the 2 expressions. What do you notice about the answers?

Distributive Property To multiply a sum by a number, multiply each addend by the number outside the parenthesis 3(20+15) = 3x 20 + 3 x 15 a(b+c) = a x b + a x c

Videos https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-distributive-property/v/the-distributive-property https://www.youtube.com/watch?v=u3dexXyyb3c https://www.youtube.com/watch?v=EWcllbr8Hqs

Generate an expression equivalent to 2(5 + 7) using the distributive property. 2 · 5 + 2 · 7 10 + 14 24

Generate an expression equivalent to 9(x + 4) using the distributive property. 9 · x + 9 · 4 9x + 36

Generate an expression equivalent to 7(x+5) using the distributive property.

Generate an expression equivalent to 3(5r- 4) using the distributive property.

Generate an expression equivalent to 10(4r- 9) using the distributive property.

How could the distributive property help you solve 9 x 4 ? 9 · 4 + 9 · 36 + 3 39

How could the distributive property help you solve 5 x 2 ? 5 · 2 + 5 · 10 + 3 13

How could the distributive property help you solve 9 x 44 ? 9 · 40 + 9 · 4 360 + 36 396

How could the distributive property help you solve 4 x 76 ? 4 · 70 + 4 · 6 280 + 24 304

Using the distributive property with perimeter

Using the distributive property with perimeter Reminder – to find the perimeter of a shape you add up all the sides 4 + 4 + 10 + 10 = 28 10 4 4 10

Using the distributive property with perimeter 4 + 4 + 10 + 10 = 28 is also: 2(4+10) = 28 10 4 4 10

Use the distributive property with the following side lengths 2(10-b) + 2(c+7) 20 – 2b + 2c + 14 -2b + 2c + 34 10 - b c + 7 c + 7 10 - b

Find the perimeter Reminder – to find the perimeter of a shape you add up all the sides 4 + 10 + 11 = 25 11 4 10

Find the perimeter Reminder – to find the perimeter of a shape you add up all the sides b + 9 + 11 + b + 2b + 9 = 4b + 29 11 + b b + 9 2b + 9