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Associative Property
By Monica Yuskaitis
The Associative Propertyis like a man and woman
getting married. First, they are each counted
separately, then after they are married they are counted as one, even though they are still
separate people.
Before a couple are married they are considered as two
separate people.
After the marriage they are considered as one.
These numbers are all separate.
4 + 5 + 9 + 3 =
6 x 3 x 8 x 4 =
The numbers with parentheses around them are counted as
one number.
(4 + 5) + 9 + 3 =
6 x 3 x (8 x 4) =
Therefore, the operations inside the parentheses must be
done first.
(4 + 5) + 9 + 3 =
6 x 3 x (8 x 4) =
The numbers are associated together.
Definition
Associative Property – the addition or multiplication of a set of numbers is the same no matter how the numbers are grouped.
(4 + 3) + 9 = 164 + (3 + 9) = 16
Definition
Parentheses – the enclosing symbols ( ) which indicate that the terms within are considered as one unit.
(4 + 3) + 9 = 16
Definition
Parentheses – ( ) are also called grouping symbols
(4 + 3) + 9 = 16
Order of Operations
The operations within parentheses must be done first before the other operations.
(4 + 3) + 9 = 167 + 9 = 16
Solve these problems
(76 – 13) + 20 =
60 – (45 - 23) =
(329 + 200) – 125 =
75 – (25 -13) =
88 + (55 – 13) =
8338
404
63130
Check
Did you remember to do the operations in the parentheses () first?
Solve these problemsLet n = 5
(16 – n) + 4 =
n – (3 + 1) =
(n + n) – 8 =
24 – (n +7) =
14 + (n + 13) =
151
2
1232
Check
Did you remember to do the operations in the parentheses () first?
Insert parentheses to make each equation true
11 – 5 + 1 = 5
15 - 10 – 8 = 13
8 – 2 + 7 = 13
9 + 3 – 2 = 10
11 – (5 + 1) = 5
15 – (10 – 8) = 13
(8 – 2) +7 = 13
(9 + 3) – 2 = 10
Written by Moncia Yuskaitis
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