Florida Teacher Certification Examinations (FTCE) Subject Area Practice Test

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Which equation illustrates the property of the identity element of addition?

2 + 2 = 4
3 + 0 = 3
5 + 1 = 6
7 + 3 = 10

The correct answer is: 3 + 0 = 3

The equation that illustrates the property of the identity element of addition is exemplified by the equation 3 + 0 = 3. This property states that when you add zero to any number, the result is that same number. In this case, the number 3 remains unchanged when 0 is added to it, which clearly shows the behavior of the identity element for addition. The other equations do not demonstrate this property. For instance, 2 + 2 = 4 shows a standard addition operation, but does not involve the identity element, which is specifically zero. Similarly, 5 + 1 = 6 and 7 + 3 = 10 also illustrate standard addition outcomes without reference to the identity element. Therefore, the equation 3 + 0 = 3 uniquely highlights the identity property of addition, confirming that adding zero to a number yields the number itself.