Question

an integer is divisible by 100 if and only if its last two digits are zeros. Write 2 statements that form each biconditional.

Answer 1

The statement above is true. An integer is divisible by 100 if its last two digits are zeros. Also, only if its last two digits are zeros. These two statements are always true and forms a biconditional. A biconditional statement is defined to be true whenever both parts have the same truth value.

Answer 2

The correct answer is:

An integer is divisible by 100 if its last two digits are zeros; and An integer's last two digits are zero if it is divisible by 100.

Explanation:

A biconditional is a statement made up of a true conditional and its converse.  The converse of a conditional statement is formed by switching the hypothesis and the conclusion of the conditional.  

The first statement in the biconditional is An integer is divisible by 100 if its last two digits are zeros.  The converse of this would be An integer's last two digits are zeros if it is divisible by 100.  Joining these using "if and only if" creates our biconditional.