Which properties did Carmen use to solve the following problem?
17 + (45 + 23)
17 + (23 + 45)
(17 + 23) + 45
40 + 45
85
i think not scam
associative property of addition
To solve the given problem, Carmen used the properties of addition. Let's break down each step to see which properties were applied:
Step 1: 17 + (45 + 23)
Carmen first used the associative property of addition, which states that the grouping of numbers does not affect the sum. She rearranged the parentheses to (17 + 45) + 23.
Step 2: (17 + 45) + 23
Next, Carmen used the associative property again to regroup the numbers within parentheses. She rearranged the parentheses to 17 + (45 + 23).
Step 3: 17 + (45 + 23)
Carmen then used the commutative property of addition, which states that the order of the numbers being added can be changed without affecting the sum. She swapped the order of 45 and 23 to get 17 + (23 + 45).
Step 4: 17 + (23 + 45)
Finally, Carmen used the properties of addition to evaluate the expression within parentheses. Adding 23 and 45 together gives 68. So, the expression becomes 17 + 68.
Step 5: 17 + 68
Carmen performed the addition, resulting in the final sum of 85.
In summary, Carmen used the associative property, commutative property, and the basic addition operation to solve the problem.
associative property of addition
identity property of multiplication