Q. Which property of addition is shown?b+(c+d)=(b+c)+d
Identify Property of Addition: Identify the property of addition by examining the equation b+(c+d)=(b+c)+d. In this equation, the grouping of the numbers being added is changed, but the order of the numbers themselves is not changed. This indicates that the property being used is one that involves grouping.
Compare with Definitions: Compare the given equation with the definitions of the properties of addition.The associative property states that when three or more numbers are added, the sum is the same regardless of the grouping of the addends. This matches the structure of the given equation.The commutative property involves changing the order of the numbers being added, which is not what is happening in the equation.The identity property involves adding zero to a number, which is also not the case here.
Conclude Demonstrated Property: Conclude which property is demonstrated by the equation.Since the equation shows that the sum remains the same regardless of how the addends are grouped, the property being demonstrated is the associative property.
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