**Definition.**The associative law of addition says that changing the grouping of numbers that are added together does not change their result sum. This law allows you to group the summands together for easy computation.Consider the sum of three summands:

2 + 3 + 5

To calculate this expression, you can first add the numbers 2 and 3 and add the result to the number 5. For convenience, the sum of numbers 2 and 3 can be placed in parentheses, indicating that this sum will be calculated first:

2 + 3 + 5 = **(2 + 3)** + 5 = **5** + 5 = 10

Or you can add the numbers 3 and 5, then add the result to the number 2

2 + 3 + 5 = 2 + **(3 + 5)** = 2 + **8** = 10

You can see that in both cases you get the same result.

Thus, between the expressions (2 + 3) + 5 and 2 + (3 + 5) we can put an equal sign, because they are equal to the same value:

**(2 + 3)** + 5 **=** 2 + **(3 + 5)**

10 = 10

Let's write down the associative law of addition using variables:

*(a + b) + c = a + (b + c)*

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