SCHOOL ONE
The Rules of Arithmetic
Associative Property of Addition:
The associative property of addition states that numbers may be added with different
groupings. The sum (answer) will be the same (you should always add the numbers in
the parentheses first):
+ (3+4) = (2 + 3) +
2+7
=
5+4
9
-
9
5x + (4x + 6x) = (5x + 4x) + 6x
Does grouping of words matter in the English language? Ask your teacher for an
example. Write it down in the following space;
Could there be an associative property of subtraction? Try it with the above example
is the following true?
2-(3-4) = (2-3)-4
Try each of the following exercises:
Sxefcfae A Find the sum for each pair of expressions.
Add the terms in parentheses first. '
1. (4 + 6) + 15
6. (4 + 6 ) + 14
4 + (6+ 15}
4 + ( 6 + 14)
2. 9 + (8 + 1)
7. 25 + (25+ 13)
(9 + 8) + 1
(25 + 25) + 13
3. (15 + 5) + 7
8. 18 + (12+ 14)
15 + (5 + 7)
(18+ 12)+ 14
4. (12 + 8) + 5
9. (33 + 17) + 22
12 + (8 + 5)
33 + (17 + 22)
5. i4 + (16 + 7}
(14+ 16) + 7
10. 18 + (12+ 11)
(18 + 12)+ 11
£j££;rc0'€ 3? Use the associative property of addition to show
each expression in two equal ways.
11. x + y + z
16. 5r+ x + 7t
12. m + n + o
17. 4/+ 9y + 2x
13. g + / i + j
18. 13fl+8e + 9/
14. 3f + / + / z
19. 2 U + 1 3 w + 1 6 s
15. w + 4c +
20. 33x + 41fe+ 18Jt
e C Rewrite each expression showing the associative
property of addition.
21. 3 + (6 + z)
24. 16 + (2x + 9)
22. 0/+13) + &
25. (5s + 3^) + 28
23. 2& + 3 c + 8 )