Respuesta :

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The contrapositive of the statement [tex]p\implies q[/tex] is [tex]\neg q\implies \neg p[/tex].

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".

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