Which property of addition is (a+b)+c=a+(b+c)?
associative property
The property you are referring to is called the associative property of addition.
To understand why this property holds true, let's break it down step by step.
Suppose you have three numbers: a, b, and c. According to the associative property of addition, no matter how you group these three numbers, the sum will be the same.
Let's demonstrate this using an example:
Assume a = 3, b = 5, and c = 2.
First, let's calculate (a + b) + c:
(3 + 5) + 2 = 8 + 2 = 10.
Now, let's calculate a + (b + c):
3 + (5 + 2) = 3 + 7 = 10.
As you can see, both calculations result in the same sum, which is 10. This verifies that (a + b) + c is equal to a + (b + c), illustrating the associative property of addition.
In general terms, the associative property of addition states that when adding three or more numbers together, you can group them in any way you like, and the sum will remain the same.