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| associative property definitions | |||
|---|---|---|---|
| # | Definition | Sets | |
| 1 | changing the grouping of numbers will not change the value. for example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication | 22 sets | |
| 2 | states you can change the groupings of additions or multiplications | 16 sets | |
| 3 | (a + b) + c = a + (b + c) | 7 sets | |
| 4 | changing the grouping does not change their sum or product | 6 sets | |
| 5 | (a+b)+c=a+(b+c) | 5 sets | |
| 6 | grouping can change | 4 sets | |
| 7 | a+(b+c)=(a+b)+c | 4 sets | |
| 8 | (a + b) + c = a + (b + c), (ab)c = a(bc) | 3 sets | |
| 9 | a(bc)=(ab)c, the grouping or adding of adding or multiplying numbers does not change the answer. | 3 sets | |
| 10 | changing how the addends are grouped does not change the sum | 2 sets | |
| 11 | the way in which numbers are grouped when added or multiplied does not change the sum or product | 2 sets | |
| 12 | 2(3x)=(2*3) | 2 sets | |
| 13 | (a+b)+c=a+(b+c), or (ab)c=a(bc) | 2 sets | |
| 14 | the grouping of numbers are changed(holds true for adding and multiplying) | 2 sets | |
| 15 | regrouping the numbers does not effect the sum or product. (property) | 2 sets | |
| 16 | states that you can change the groupings of additions or multiplications | 2 sets | |
| 17 | (a+b)+x=a+(b+x) | 2 sets | |
| 18 | allows addends or factors to be grouped and computed in different arrangements | 2 sets | |
| 19 | a + (b+c)=(a+b) + c | 2 sets | |
| 20 | you can change the groupings of additions and multiplications | 2 sets | |
| 21 | a property of real numbers that states that the sum or product of a set of numbers is the same, regardless of how the numbers are grouped | 2 sets | |
| 22 | you can group or regroup numbers in a problem that is all adding or multipyling. | 2 sets | |
| 23 | allows to group and regroup numbers in a multiplication or addition problem | 2 sets | |
| 24 | ( a+b )+c = a+(b+c) or (ab)c= a(bc) | 2 sets | |
| 25 | states the you can change the groupings of additions or multiplications | 1 set | |
| 26 | states you can chnge the groupings of additions or multiplycations | 1 set | |
| 27 | states you can change the groupings of additions or multipulcations | 1 set | |
| 28 | states that you can change the grouping of additions or multiplications | 1 set | |
| 29 | can change the groupings of a adition or multiplications | 1 set | |
| 30 | states you chage the groupings of additions or multiplacation | 1 set | |
| 31 | it doesnt matter the grouping of the paranthesis (mult. add) | 1 set | |
| 32 | the way three numbers are grouped does not chage their products when adding/mulitiplying | 1 set | |
| 33 | 3+(5+2)=(3+5)+2 | 1 set | |
| 34 | the sum stays the same when the grouping of factors is changed | 1 set | |
| 35 | (a + b) + c = a + (b + c) or (ab)c = a(bc) | 1 set | |
| 36 | rearranging, not changing, the order. (2+3)+4=2+(3+4) | 1 set | |
| 37 | (a +b) + c = a + (b + c) | 1 set | |
| 38 | (5+3)+7=5+(3+7) or (5*3)7=5(3*7) | 1 set | |
| 39 | when you can add or multiply and group the numbers any way you want | 1 set | |
| 40 | changing the grouping of terms in a sum does not chang a sum | 1 set | |