Final answer:
After cutting 4 tenths of a meter and 2 hundredths of a meter from an original length of 3.0 meters of rope, the remaining length of the rope is 2.58 meters.
Step-by-step explanation:
Starting with 3.0 meters of rope, we need to subtract the lengths that were cut off. The first length cut off was 4 tenths of a meter, which is 0.4 meters, and the second length was 2 hundredths of a meter, which is 0.02 meters. Thus, the total length cut off the rope is 0.4 meters + 0.02 meters = 0.42 meters.
To determine the remaining length of rope, we subtract the total cut length from the original length:
Remaining Length = Original Length - Total Cut Length
Remaining Length = 3.0 meters - 0.42 meters
Remaining Length = 2.58 meters.
Therefore, after cutting 4 tenths of a meter and 2 hundredths of a meter from the original rope, it is now 2.58 meters long.