Final answer:
False. The idea that it's okay to use extension cords with worn insulation is false and poses safety hazards.
Step-by-step explanation:
The statement that it's okay to use extension cords with worn insulation, as long as you are careful about it, is false. Worn insulation on extension cords can pose serious safety hazards. When insulation is worn, the live or hot wire may come into direct contact with the metal case of the appliance, which can result in a person being severely shocked. Additionally, the worn insulation can lead to a loss of electrical current, causing an IR drop in the wires and potentially damaging the appliance.