Final answer:
The inverse of the conditional statement "If a number is divisible by ten, then the last digit is zero" is "If a number is not divisible by ten, then the last digit is not zero," which corresponds to option D. The inverse involves negating both the hypothesis and the conclusion of the original statement.
Step-by-step explanation:
To find the inverse of a conditional statement, one must negate both the hypothesis and the conclusion of the original statement. The original statement in question is "If a number is divisible by ten, then the last digit is zero." The inverse of this statement would involve negating both of these conditions. Therefore, the inverse would be: "If a number is not divisible by ten, then the last digit is not zero."
Looking at the provided options, option A, "If the last digit in a number is not zero, then the number is not divisible by ten," is actually the contrapositive of the original statement, and option C, "If the last digit in a number is zero, then the number is divisible by ten," is the converse. Option D, "If a number is not divisible by ten, then the last digit in the number is not zero," accurately states the inverse of the original conditional statement and is the correct answer.