Associative Property

Associative Property

The Associative Property is 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= 6x3x8x4=

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 = 16 4 + (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 = 16 7 + 9 = 16

Solve these problems (76 – 13) + 20 = 60 – (45 - 23) = (329 + 200) – 125 = 75 – (25 -13) = 88 + (55 – 13) =

83 38 404 63 130

Check

Did you remember to do the operations in the parentheses () first?

Solve these problems Let n = 5 (16 – n) + 4 = n – (3 + 1) = (n + n) – 8 = 24 – (n +7) = 14 + (n + 13) =

15 1 2 12 32

Check

Did you remember to do the operations in the parentheses () first?

Insert parentheses to make each equation true 11 – 5 + 1 = 5

11 – (5 + 1) = 5

15 - 10 – 8 = 13

15 – (10 – 8) = 13

8 – 2 + 7 = 13

(8 – 2) +7 = 13 (9 + 3) – 2 = 10

9 + 3 – 2 = 10

Written by Moncia Yuskaitis Clipart from Broderbund ClickArt 125,000 Deluxe Image Pak Clipart from Corel Gallery by Corel Corp.