The Associative Property allows numbers to be grouped in different ways without changing the result of the operation. It is demonstrated that (4 + 5) + 9 + 3 equals 6 x 3 x (8 x 4), because the operations inside parentheses must be completed first before the other operations regardless of grouping. The document provides examples of using parentheses to follow the proper order of operations in arithmetic expressions.

1. Associative Property By Monica Yuskaitis

2. 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.

3. Before a couple are married they are considered as two separate people.

4. After the marriage they are considered as one.

5. These numbers are all separate. 4 + 5 + 9 + 3 = 6 x 3 x 8 x 4 =

6. The numbers with parentheses around them are counted as one number. ( 4 + 5 ) + 9 + 3 = 6 x 3 x ( 8 x 4 ) =

7. Therefore, the operations inside the parentheses must be done first. ( 4 + 5 ) + 9 + 3 = 6 x 3 x ( 8 x 4 ) =

8. The numbers are associated together.

9. 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

10. Definition Parentheses – the enclosing symbols ( ) which indicate that the terms within are considered as one unit. ( 4 + 3 ) + 9 = 16

11. Definition Parentheses – ( ) are also called grouping symbols ( 4 + 3 ) + 9 = 16

12. Order of Operations The operations within parentheses must be done first before the other operations. ( 4 + 3 ) + 9 = 16 7 + 9 = 16

13. Solve these problems (76 – 13) + 20 = 60 – (45 - 23) = (329 + 200) – 125 = 75 – (25 -13) = 88 + (55 – 13) = 83 38 404 63 130

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

15. 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

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

17. 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

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