The expression 4 - 5 rewritten using the additive inverse is D) 4 + (-5). One starts at 4 on a number line and move 5 units to the left to end at -1, illustrating the operation 4 + (-5).
The expression 4 - 5 can be rewritten using the additive inverse principle. The additive inverse of a number is the number that, when added to the original number, yields zero. In this case, the additive inverse of 5 is -5. According to the rules of addition, when two numbers with opposite signs are added, we subtract the smaller number from the larger number, and the answer has the sign of the larger number.
Therefore, when using the additive inverse in this expression, we would add the opposite of 5, which is -5, to 4. So, 4 - 5 can be rewritten as 4 + (-5). On a number line, you would start at 4 and move 5 units to the left, ending at -1. This is the same as adding a negative 5 to 4, which visually represents the operation 4 + (-5).