1. COMMUTATIVE PROPERTY OF ADDITION AND MULTIPLICATION
PROPERTIES
Different order,
Same groups
COMMUTATIVE PROPERTY OF ADDITION AND MULTIPLICATION
You can communicate in any order.
2+3 = 3+2 2·3 = 3·2 a+b = b+a ab = ba (4+5) + 6 = 6 + (4+5) a(bc) = (bc)a a + bc = bc + a
ASSOCIATIVE PROPERTY OF ADDITION AND MULTIPLICATION
I will associate with you, no you. It doesn’t matter, it’s all good.
Same order,
Different groups
(1+2) + 3 = 1 + (2+3) (1·2) · 3 = 1 (2·3)

2. USE THE ASSOCIATIVE PROPERTY TO ADD MENTALLY 125 + 36 + 64
125 + ( ) = 225
IDENTITY PROPERTY
Any number multiplied by one is itself.
Ex: 5 x 1 = a = a
ZERO PROPERTY
Any number multiplied by zero is zero.
Ex: 5 x 0 = a = 0

3. no, ≠
com ident com
iden com assoc
16+m k s
40x r a D

4. Use the Distributive Property to multiply mentally.
14 • 12
14(10 +2)
168
1.4(1 + .2)
1.4 x 1.2
1.68

5. Simplify means to write the solution in the simplest way possible.
simplify (x + 5)
(y + 10)6
2(a + 5)
(b + 6)3
3(m – n)
9(n – 7 + p)
4(de – 3)
h(4 + jk)
4x + 20
6y + 60
2a + 10
3b + 18
3m – 3n
9n – p
4de – 12
4h + hjk
Simplify means to write the solution in the simplest way possible.