Math (thinking + fun)Math (thinking + fun)

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Math thinking + Math fun!Math thinking + Math fun!

Distributive property of

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

or2(4 + 6) = (2x4) + (2x6)

= 8 + 12 = 20

Distribute – to give out, deal out

How would you solve these

equations?5(2+8)=s

12(6+3)=p6(3+9)=c

Distribute – to give out, deal out

s = 50 p = 108 c = 72

Distributive property of

multiplication over subtraction.a(b-c)= ab - ac

or2(14 - 6) = (2x14) - (2x6)

= 28 - 12 = 16

Distribute – to give out, deal out

a(b+c)=ab +bc or a(b-c) = ab

- acWhen 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)=p5 (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

2(6 + 3 + 2)=p5 (8 – 3) = c

Distribute – to give out, deal out

s = 36 p = 22

c = 25

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 =p44 x 60 = q 220 x 19 = r45 x 280 = s 341 x 32 = t

Using the Distributive Property

607 x 5 = (600x5) + (7x5) = 3000+ 35=

3035

16x102 = (16x100) + (16x2) = 1600 + 32=

1632

Write it out!

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