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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