Distributive Property

1. Distributive Property Math (thinking + fun) = Math thinking + Math fun!

2. Distribute – to give out, deal out Distributive property of multiplication over addition. a(b+c)= ab + ac or 2(4 + 6) = (2x4) + (2x6) = 8 + 12 = 20

3. Distribute – to give out, deal out How would you solve these equations? 5(2+8)=s 12(6+3)=p 6(3+9)=c s = 50 p = 108 c = 72

4. Distribute – to give out, deal out Distributive property of multiplication over subtraction. a(b-c)= ab - ac or 2(14 - 6) = (2x14) - (2x6) = 28 - 12 = 16

5. Distribute – to give out, deal out a(b+c)=ab +bc or a(b-c) = ab - ac • When you rewrite the expression from left to right this is called expanding the expression or distributing a over b + c or distributing a over b – c. • The property also applies when there are more than two terms.

6. Distribute – to give out, deal out How would you solve these equations? 3(1+5 +6)=s 2(6 + 3 + 2)=p 5 (8 – 3) = c

7. Distribute – to give out, deal out How would you solve these equations? 3(1+5 +6) = (3x1)+(3x5)+(3x6) 2(6 + 3 + 2)= (2x6) + (2x3) + (2x2) 5 (8 – 3) = (5x8) – (5x3)

8. Distribute – to give out, deal out How would you solve these equations? 3(1+5 +6)=s 2(6 + 3 + 2)=p 5 (8 – 3) = c s = 36 p = 22 c = 25

9. Using the Distributive Property How can the Distributive Property help you solve these multiplication problems? 607 x 5 =m 16 x 102 = n 420 x 7 =o 285 x 5 =p 44 x 60 = q 220 x 19 = r 45 x 280 = s 341 x 32 = t

10. Write it out! 607 x 5 = (600x5) + (7x5) = 3000+ 35= 3035 16x102 = (16x100) + (16x2) = 1600 + 32= 1632

11. We Are Geniuseseses! Let’s show the rest on the board!