Question

If a number ends with 0, then it is divisible by 10. What is the contrapositive of this statement?

Answer 1

The contrapositive of the statement
`p\implies q` is
`\\eg q\implies \\eg p`.

So the contrapositive for this statement would be, "If a number is NOT divisible by 10, then it does NOT end with 0". ("not" capitalized for emphasis)

Answer 2

Answer: The contrapositive of the statement is

"If a number is not divisible by 10, then it does not end with 0".

Step-by-step explanation: We are given to write the contrapositive of the following statement:

"If a number ends with 0, then it is divisible by 10".

We know the contrapositive of a conditional statement of the form

"If p then q" is given by "If not q then not p".

Or,

the contrapositive of "p ⇒ q" is "~q ⇒ ~p".

So, the contrapositive of the given statement is

"If a number is not divisible by 10, then it does not end with 0".

Thus, the contrapositive of the statement is

"If a number is not divisible by 10, then it does not end with 0".