Transcript 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
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
Write it out!

607 x 5 = (600x5) + (7x5) = 3000+ 35=
3035
16x102 = (16x100) + (16x2) = 1600 + 32=
1632
We Are Geniuseseses!

Let’s show the rest
on the board!