Question

fill in the blanks. then, choose the property of addition you used.
(a) ( 0 + square = 9 )
select
(b) ( 5 + 6 = square + 5 )
select
(c) ( 3 + (8 + 2) = (3 + 8) + square )
select

Explanation:

Part (a)

Step1: Recall addition property (identity)

The identity property of addition states that \(0 + a = a\) for any number \(a\). Here, \(0 + \square = 9\), so the missing number is \(9\) (since \(0 + 9 = 9\)).
<Expression>: \(0 + 9 = 9\)

Part (b)

Step1: Recall addition property (commutative)

The commutative property of addition states that \(a + b = b + a\) for any numbers \(a\) and \(b\). Here, \(5 + 6=\square + 5\), so by commutativity, the missing number is \(6\) (since \(5 + 6 = 6 + 5\)).
<Expression>: \(5 + 6 = 6 + 5\)

Part (c)

Step1: Recall addition property (associative)

The associative property of addition states that \((a + b)+c = a+(b + c)\) for any numbers \(a\), \(b\), and \(c\). Here, \(3+(8 + 2)=(3 + 8)+\square\), so by associativity, the missing number is \(2\) (since \(3+(8 + 2)=(3 + 8)+2\)).
<Expression>: \(3+(8 + 2)=(3 + 8)+2\)

Answer:

s:
(a) The missing number is \(9\) (using the identity property of addition: \(0 + a=a\)).
(b) The missing number is \(6\) (using the commutative property of addition: \(a + b = b + a\)).
(c) The missing number is \(2\) (using the associative property of addition: \((a + b)+c=a+(b + c)\)).