Concerns exist about the impacts of underwater noise on marine mammals. These include auditory damage, which is a significant risk for marine mammals exposed to impulsive sounds such as explosions, pile-driving, and seismic airguns. Currently, impact assessments use different risk criteria for impulsive and non-impulsive sounds (e.g. ships, drilling). However, as impulsive sounds dissipate through the environment, they potentially lose hazardous features (e.g. sudden onset) and become non-impulsive at some distance from the source. Despite management implications, a lack of data on range-dependent characteristics currently limits their inclusion in impact assessments. We address this using acoustic recordings of seismic airguns and pile-driving to quantify range-dependency in impulsive characteristics using four criteria: (i) rise time <25 ms; (ii) quotient of peak pressure and pulse duration >5,000 Pa.s^-1; (iii) duration <1 s; (iv) crest factor >15 dB. We demonstrate that some characteristics changed markedly within ranges of ~10 km, and that the mean probability of exceeding criteria (i) and (ii) was <0.5 at ranges >3.5 km. In contrast, the mean probability of exceeding criteria (iii) remained >0.5 up to ~37.0 km, and the mean probability of exceeding criteria (iii) remained <0.5 throughout the range. These results suggest that a proportion of the recorded signals should be defined as impulsive based on each of the criteria, and that some of the criteria change markedly as a result of propagation. However, the impulsive nature of a sound is likely to be a complex interaction of all these criteria, and many other unrelated parameters such as duty cycle, recovery periods, and sound levels will also strongly affect the risk of hearing damage. We recommend future auditory damage studies and impact assessments explicitly consider the ranges at which sounds may lose some of their potentially hazardous characteristics.