Problem 79
Question
State the name of the property illustrated. $$(2+3)+(4+5)=(4+5)+(2+3)$$
Step-by-Step Solution
Verified Answer
The property illustrated is Commutative Property of Addition.
1Step 1: Analyze the equation
Looking at the equation given, \( (2+3)+(4+5)=(4+5)+(2+3) \), we see that the two sides of the equation are the same, and the order of the groups of numbers in the parentheses is switched from the left to right side of the equation.
2Step 2: Identify the operation
In this equation, the operation being used is addition, which is denoted by the '+' sign.
3Step 3: Identify the property
From analysis in step 1 and 2, it is clear that the equation represents the property of addition which stays the same even when the order is changed. This principle is called the 'Commutative Property Of Addition'.
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