Distributive property of multiplication over addition. a(b+c)= ab + ac

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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

Distribute – to give out, deal out 

How would you solve these equations?

5(2+8)=s s = 50 12(6+3)=p p = 108 6(3+9)=c c = 72

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

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.

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

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)

Distribute – to give out, deal out 

How would you solve these equations?

3(1+5 +6)=s s = 36 2(6 + 3 + 2)=p p = 22 5 (8 – 3) = c c = 25

Using the Distributive Property  How can the Distributive Property help you solve these multiplication problems?

607 x 5 =m 420 x 7 =o 44 x 60 = q 45 x 280 = s 16 x 102 = n 285 x 5 =p 220 x 19 = r 341 x 32 = t

Write it out!

 607 x 5 = (600x5) + (7x5) = 3000+ 35= 3035 16x102 = (16x100) + (16x2) = 1600 + 32= 1632

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