Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a .

Question

Step 1: [missing]

Step 2: 10+13a=10+13a

Step 3: The expressions are equivalent because they both equal the same value.

(1 point)
Responses

10+12a+a=10+13a
d plus 10 plus a equals 10 plus a plus d

12a+10+a−10=10+a+12a−10
d plus 10 plus a equals 10 plus a plus d

12a+10=10+12a
d plus 10 plus a equals 10 plus a plus d

12a+10+a−a=10+a+12a−a

Answer 1

To determine the missing step in proving the equivalence of \(12a + 10 + a = 10 + a + 12a\) using the Commutative Property, we need to rearrange the terms in the left-hand expression correctly.

The missing step can be filled in as follows:

Step 1: \(10 + 12a + a = 10 + a + 12a\)

Now, the complete proof looks like this:

Step 1: \(10 + 12a + a = 10 + a + 12a\) (using Commutative Property)

Step 2: \(10 + 13a = 10 + 13a\)

Step 3: The expressions are equivalent because they both equal the same value.

Therefore, the response that matches this reasoning is:

10 + 12a + a = 10 + 13a