# Associative Property

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```Associative Property
of Addition
The way addends are grouped
does not change the sum.
Associative Property
of Multiplication
The way factors are grouped
does not change the product.
Commutative Property
of Addition
If the order of addends is
changed, the sum remains the
same.
Commutative Property
of Multiplication
If the order of factors is changed,
the product remains the same.
Distributive Property
Multiplying a sum by a number is
the same as multiplying each
addend by the number and then
adding the products.
Identity Property
of One
The product of any number
and 1 is that number.
Identity Property
of Zero
The sum of any number and 0 is
that number.
Order of Operations
The process for evaluating expressions;
first perform the operation in parentheses,
clear the exponents, perform all the
multiplication and division, and then
perform all the addition and subtraction.
6 +5 =5+6
3+2+9=2+9+3
4+2–1=2+4–1
12 + 4 + 81 = 4 + 12 + 81
a+b+c+d=c+a+b+d
4x5=5x4
7x9x3=9x7x3
b&middot; c&middot; a=c&middot;b&middot;a
12 + (5 + 3) = (12 + 5) + 3
(24 + 2) + (36 + 3) =
24 + (2 + 36) + 3
x + (y + z) = (x + y) + x
15 + (2 + 3 + 5) =
15 + (2 + 3) =5
10 x 1 = 10
237 x 1 = 237
1 x 5,478 = 5,478
nx1=n
498 + 0 = 498
0 + 56.07 = 56.07
14 x 31 = (14 x 30) + (14 x 1)
6 x 56 = 6 x (50 + 6)
= (6 x 50) + (6 x 6)
7 x 12 = (7x 10) + (7 x 2)
147 x 22 = 147 x (20 + 2)
= (147 x 20) + (147 X 2)
Please Excuse My Dear
Aunt Sally
36 &divide; (7 + 5) x 32
285 + 6 &divide; (4 - 2) =
285 + 6 &divide; 2
63 – 9&divide; 32
52 – (40 &divide; 4) &divide; 2
Create an example of your
own for the Distributive
Property.
Create an example of your
own for the Associative
Property of Multiplication.
Create an example of your
own for the Associative
Property of Addition.
Create an example of your
own for a Commutative
Property.
Create an example of your
own for the Order of
Operations.
```