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Question
fill in the blanks. then, choose the property of addition you used.
(a) $6 + 3 = 3 + \square$
(b) $0 + \square = 9$
(c) $\square + (7 + 3) = (5 + 7) + 3$
Step1: Solve (a) using commutativity
The commutative property of addition states $a+b = b+a$. For $6+3=3+\square$, $\square=6$.
Step2: Solve (b) using identity property
The identity property of addition states $0+a=a$. For $0+\square=9$, $\square=9$.
Step3: Solve (c) using associativity
The associative property of addition states $a+(b+c)=(a+b)+c$. For $\square+(7+3)=(5+7)+3$, $\square=5$.
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(a) $\square = 6$, Property: Commutative Property of Addition
(b) $\square = 9$, Property: Identity Property of Addition
(c) $\square = 5$, Property: Associative Property of Addition