Question

fill in the blanks. then, choose the property of addition you used.
(a)
$6 + 9 = 9 + \boxed{\quad}$
select
(b)
$\boxed{\quad} + 0 = 7$
select
(c)
$\boxed{\quad} + (4 + 6) = (3 + 4) + 6$
select

Explanation:

Part (a)

Step1: Recall Commutative Property of Addition

The commutative property of addition states that for any two numbers \(a\) and \(b\), \(a + b = b + a\).

Step2: Apply the Property to \(6 + 9\)

We have \(6+9 = 9 + 6\) (by commutative property of addition, where \(a = 6\) and \(b=9\)).

Part (b)

Step1: Recall Identity Property of Addition

The identity property of addition states that for any number \(a\), \(a+0=a\) and \(0 + a=a\).

Step2: Apply the Property to \(\square+ 0=7\)

Using the identity property \(a + 0=a\), if \(a+0 = 7\), then \(a = 7\) (since \(7+0=7\)).

Part (c)

Step1: Recall Associative Property of Addition

The associative property of addition states that for any numbers \(a\), \(b\) and \(c\), \(a+(b + c)=(a + b)+c\).

Step2: Apply the Property to \(\square+(4 + 6)=(3 + 4)+6\)

Comparing with \(a+(b + c)=(a + b)+c\), here \(b = 4\), \(c=6\) and \((a + b)=3 + 4\), so \(a=3\). So \(\square = 3\) since \(3+(4 + 6)=(3 + 4)+6\) (by associative property of addition).

Answer:

s:
(a) The blank is \(6\) (using commutative property of addition).
(b) The blank is \(7\) (using identity property of addition).
(c) The blank is \(3\) (using associative property of addition).