43 + (57+69)
(43+57)+69
Are these associative,Commutative, Identity, Inverse property of addition?
I feel it is Associative Property of addition.
Right.
yeah:)! thank you
Yes, you are correct. Both expressions involve addition and are examples of the associative property of addition. The associative property states that for any three numbers a, b, and c, regardless of their values, the sum of a and the sum of b and c will always be equivalent. In other words, you can regroup the numbers in any way you want, and the sum will remain the same.
To prove that these expressions demonstrate the associative property, you can follow these steps:
1. Simplify the expressions:
- For the first expression, 43 + (57 + 69), you can start by evaluating the addition inside the parentheses: 57 + 69 = 126. Then, add 43 to 126: 43 + 126 = 169.
- For the second expression, (43 + 57) + 69, you can perform the addition inside the parentheses first: 43 + 57 = 100. Then, add 100 to 69: 100 + 69 = 169.
2. Compare the results: Since both expressions simplify to the same sum, 169, regardless of the grouping, it confirms the associative property of addition.
In summary, the expressions (43 + 57) + 69 and 43 + (57 + 69) both illustrate the associative property of addition.