Question

Which best expresses the uncertainty of the measurement 32.23 cm?

A.) ±0.05 cm
B.) 0.1 cm
C.) 1%
D.) ±0.01 cm?​

Answer 1

D.) ±0.01 cm?​

Step-by-step explanation:

Since 32.23 cm has two decimal places, the uncertainty is taken as one-half the last decimal pace.

The last decimal place is 0.03. Half of this is 0.03 cm/2 = 0.015 cm.

Since we cannot go below two decimal places, we ignore the 5 in 0.015 cm.

So, we have our uncertainty as 0.01 cm.

So, the best expression of the uncertainty in the measurement 32.23 cm is ± 0.01 cm.

So, the answer is D. which is ± 0.01 cm.