4x A board measures 34.1 cm. What is the greatest possible error allowed for the measurement? A 0.001 cm B 0.005 cm C 0.01 cm D 0.05 cm

## Step 1
The problem involves the concept of measurement error in mathematics. The measurement error is the difference between the actual value and the measured value. In this case, the board measures 34.1 cm, and we are asked to find the greatest possible error allowed for the measurement.

## Step 2
The options provided are 0.001 cm, 0.005 cm, 0.01 cm, and 0.05 cm. The greatest possible error allowed for the measurement is the largest value among these options.

## Step 3
Comparing the options, we can see that 0.05 cm is the largest value. Therefore, the greatest possible error allowed for the measurement is 0.05 cm.