Question

Length of table is 1.0m,1.00m and 1.000m.Which one is more accurate?​

Answer 1

Answer:

1.00 m is a more accurate measured length.

Explanation:

Denote length of the table by L.

For L=1.0 m, there is one significant digit after the decimal.

Care 1: When one more significant digit after decimal considered, the exact number can be from 0.95 to 1.05.

So, the possible span of error $\Delta E_1= 1.05-0.95= 0.1m$

For L=1.00 m, there is two significant digits after the decimal.

Case 2: When one more significant digit after decimal considered, the exact number can be from 0.095 to 1.005.

So, the possible span of error $\Delta E_2= 1.005-0.095= 0.01m$

Case 3: For L=1.000 m, there is three significant digits after the decimal.

When one more significant digit after decimal considered, the exact number can be from 0.0095 to 1.0005.

So, the possible span of error $\Delta E_3= 1.0005-0.0095= 0.001m$

As $\Delta E_1 >\Delta E_2>\Delta E_3$

So, the least error is in the third case when L=1.00m, hence, L= 1.00m is more accurate.