The value given to a place a digit has in a number is called its

The form of hypothetical syllogism is;

If P, then Q.

If Q, then R.

Therefore, if P, then R.

From the given statement we have:

M represents "If a, b, and c are real numbers such that a=b",

N represents "a+c=b+c"

O represents "c+a=c+b".

we have;

If M, then N

If N, then O

Therefore, by hypothetical syllogism.

therefore, if M, then O.

Therefore, the statement completes the syllogism is:

If a+c=b+c, then c+a=c+b.