Question

What is the inverse of the following conditional statement? "if a number is divisible by ten, then the last digit is zero."

1) If the last digit in a number is not zero, then the number is not divisible by ten.
2) If a number is divisible by ten, then the last digit is zero.
3) If the last digit in a number is zero, then the number is divisible by ten.
4) If a number is not divisible by ten, then the last digit in the number is not zero.

Answer 1

The inverse of the conditional statement “if a number is divisible by ten, then the last digit is zero” is: if the last digit in a number is not zero, then the number is not divisible by ten.

Step-by-step explanation:

The inverse of the conditional statement “if a number is divisible by ten, then the last digit is zero” is:

1. If the last digit in a number is not zero, then the number is not divisible by ten.

To find the inverse of the conditional statement, we negate both the antecedent and the consequent. In this case, the antecedent is “a number is divisible by ten” and the consequent is “the last digit is zero”. Negating the antecedent gives us “the number is not divisible by ten”, and negating the consequent gives us “the last digit is not zero”. Therefore, the inverse statement is “if the last digit in a number is not zero, then the number is not divisible by ten”.