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