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Identify the property illustrate by the following: 3+[5+(-3)]=3+(-3+5]

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Final answer:

The equation 3+[5+(-3)]=3+(-3+5) illustrates the Associative Property of addition, which states that the grouping of addends does not affect their sum.

Step-by-step explanation:

The student's question involves identifying the property illustrated by the equation 3+[5+(-3)]=3+(-3+5). This equation demonstrates the Associative Property of addition, which states that the way in which numbers are grouped does not change their sum. According to this property, it does not matter how we group the numbers when we add; the result remains the same.

Here's the step-by-step explanation: when you perform the operations inside the brackets, you get 5+(-3) = 2 and -3+5 = 2. Then, adding the result to 3 in both cases, you have 3+2 = 5. The order of the addends does not affect the result, which shows the Associative Property of addition in action.

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