The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. This means that for any three numbers a, b, and c: (a + b) + c = a + (b + c).
To solve the problem, we need to find pairs of equations that are equivalent due to this property.
1. (8 + 6) + 5 = 8 + (6 + 5)
- Left side: (8 + 6) + 5 = 14 + 5 = 19
- Right side: 8 + (6 + 5) = 8 + 11 = 19
- Match: (8 + 6) + 5 with 8 + (6 + 5)
2. 7 + (3 + 4) = (7 + 3) + 4
- Left side: 7 + (3 + 4) = 7 + 7 = 14
- Right side: (7 + 3) + 4 = 10 + 4 = 14
- Match: 7 + (3 + 4) with (7 + 3) + 4
3. 9 + (4 + 1) = (9 + 4) + 1
- Left side: 9 + (4 + 1) = 9 + 5 = 14
- Right side: (9 + 4) + 1 = 13 + 1 = 14
- Match: 9 + (4 + 1) with (9 + 4) + 1
4. (54 + 83) + 66 = 54 + (83 + 66)
- Left side: (54 + 83) + 66 = 137 + 66 = 203
- Right side: 54 + (83 + 66) = 54 + 149 = 203
- Match: (54 + 83) + 66 with 54 + (83 + 66)
5. 12 + (8 + 37) = (12 + 8) + 37
- Left side: 12 + (8 + 37) = 12 + 45 = 57
- Right side: (12 + 8) + 37 = 20 + 37 = 57
- Match: 12 + (8 + 37) with (12 + 8) + 37
6. (96 + 4) + 23 = 96 + (4 + 23)
- Left side: (96 + 4) + 23 = 100 + 23 = 123
- Right side: 96 + (4 + 23) = 96 + 27 = 123
- Match: (96 + 4) + 23 with 96 + (4 + 23)
7. (7 + 6) + 25 = 7 + (6 + 25)
- Left side: (7 + 6) + 25 = 13 + 25 = 38
- Right side: 7 + (6 + 25) = 7 + 31 = 38
- Match: (7 + 6) + 25 with 7 + (6 + 25)
8. 84 + (13 + 76) = (84 + 13) + 76
- Left side: 84 + (13 + 76) = 84 + 89 = 173
- Right side: (84 + 13) + 76 = 97 + 76 = 173
- Match: 84 + (13 + 76) with (84 + 13) + 76
9. 4 + (9 + 1) = (4 + 9) + 1
- Left side: 4 + (9 + 1) = 4 + 10 = 14
- Right side: (4 + 9) + 1 = 13 + 1 = 14
- Match: 4 + (9 + 1) with (4 + 9) + 1
10. 76 + (84 + 13) = (76 + 84) + 13
- Left side: 76 + (84 + 13) = 76 + 97 = 173
- Right side: (76 + 84) + 13 = 160 + 13 = 173
- Match: 76 + (84 + 13) with (76 + 84) + 13
11. (3 + 7) + 4 = 3 + (7 + 4)
- Left side: (3 + 7) + 4 = 10 + 4 = 14
- Right side: 3 + (7 + 4) = 3 + 11 = 14
- Match: (3 + 7) + 4 with 3 + (7 + 4)
12. (54 + 66) + 83 = 54 + (66 + 83)
- Left side: (54 + 66) + 83 = 120 + 83 = 203
- Right side: 54 + (66 + 83) = 54 + 149 = 203
- Match: (54 + 66) + 83 with 54 + (66 + 83)
13. 96 + (4 + 23) = (96 + 4) + 23
- Left side: 96 + (4 + 23) = 96 + 27 = 123
- Right side: (96 + 4) + 23 = 100 + 23 = 123
- Match: 96 + (4 + 23) with (96 + 4) + 23
The pairs are:
- (8 + 6) + 5 with 8 + (6 + 5)
- 7 + (3 + 4) with (7 + 3) + 4
- 9 + (4 + 1) with (9 + 4) + 1
- (54 + 83) + 66 with 54 + (83 + 66)
- 12 + (8 + 37) with (12 + 8) + 37
- (96 + 4) + 23 with 96 + (4 + 23)
- (7 + 6) + 25 with 7 + (6 + 25)
- 84 + (13 + 76) with (84 + 13) + 76
- 4 + (9 + 1) with (4 + 9) + 1
- 76 + (84 + 13) with (76 + 84) + 13
- (3 + 7) + 4 with 3 + (7 + 4)
- (54 + 66) + 83 with 54 + (66 + 83)
- 96 + (4 + 23) with (96 + 4) + 23
Parent Tip: Review the logic above to help your child master the concept of commutative and associative property worksheet.
