Answer:
the equation a + (b + c) = (a + b) + c represents the associative property of addition.
Step-by-step explanation:
The statement you provided, "a + (b + c) = (a + b) + c," is an example of the associative property of addition. This property states that how you group three or more numbers when adding them together does not change their sum.
Here's a step-by-step breakdown to explain the associative property of addition:
1. Let's consider three numbers: a, b, and c.
2. The left side of the equation, a + (b + c), represents adding b and c first and then adding the result to a.
3. The right side of the equation, (a + b) + c, represents adding a and b first and then adding the result to c.
4. According to the associative property of addition, regardless of how you group these numbers, the sum will be the same.
5. This means that a + (b + c) is equal to (a + b) + c.
By using the associative property of addition, we can rearrange the grouping of numbers without changing their sum. This property helps simplify calculations and allows us to group numbers in different ways while maintaining the same result.
Therefore, The statement you provided, "a + (b + c) = (a + b) + c," is an example of the associative property of addition. This property states that how you group three or more numbers when adding them together does not change their sum.
