estimate the difference by rounding each number to the nearest tenth:: 0.78 - 0.242

Rounding 0.78 to the nearest tenth gives 0.8, and rounding 0.242 to the nearest tenth gives 0.2.

Therefore, the difference between 0.78 and 0.242 when rounded to the nearest tenth is 0.8 - 0.2 = 0.6.