To determine the proper inverse operation to check the answer to [tex]\( 25 - 13 = 12 \)[/tex], we need to find an operation that confirms the original subtraction.
Step-by-step solution:
1. Understand the original operation:
The equation given is [tex]\( 25 - 13 = 12 \)[/tex].
2. Define the purpose of an inverse operation:
The inverse operation of subtraction is addition. Specifically, if [tex]\( a - b = c \)[/tex], then the inverse check would be to add [tex]\( c \)[/tex] and [tex]\( b \)[/tex] to see if it equals [tex]\( a \)[/tex].
3. Apply the inverse operation:
The original equation is [tex]\( 25 - 13 = 12 \)[/tex].
To check this, we add [tex]\( 12 \)[/tex] (the result) and [tex]\( 13 \)[/tex] (the subtracted number).
4. Perform the inverse operation:
[tex]\( 12 + 13 = 25 \)[/tex].
5. Compare the result with the original number:
Since [tex]\( 12 + 13 \)[/tex] results in [tex]\( 25 \)[/tex], which matches the original number from the subtraction, the inverse operation confirms the correctness of the original equation.
Thus, the proper inverse operation to check the subtraction [tex]\( 25 - 13 = 12 \)[/tex] is:
[tex]\[ 12 + 13 = 25 \][/tex]
Finally, the correct choice is:
A. [tex]\( 12 + 13 = 25 \)[/tex]
