Question

which of the following has least significant figures
80.267
0.80200
0.0807
0.80760
​

Answer 1

Option (C) 0.08076

Question:

Which of the following numbers has least number of significant figures:

A) 0.80760 B) 0.80200 C) 0.08076 D) 80.267

This is a question from the Chapter Units and Measurements from class 11th and we have to use the concept of Significant figures for finding out the number of significant figures.

Let us check Option A:

0.80760

Here there are 5 significant figures because all non zero digits are significant.

All zeroes between non zero numbers are significant.

Trailing zeroes in a number containing a decimal point is significant.

So there are 5 Significant Figures in Option (A).

Now let us check Option B:

0.80200

Here also there are 5 Significant figures due to the same reasons as option (A).

Therefore, there are 5 Significant figures.

Now let us check Option C:

Here there are only 4 Significant figures because the zeroes in the starting of a decimal point are not significant so the 0 behind 8 after the decimal point is not significant. Leading zeroes are not significant.

The rest of the numbers are significant because of the same reason as Option(A) and Option(B)

Now lets check Option D:

Here in option D there are 5 Significant figures. Due to the same reasons are Option (A).

All zeroes between non zero numbers are significant so the 0 between 8 and 2 is significant due to this reason.

Therefore, there are 5 Significant figures in Option (D) also.

After analysing all the options in depth we get to know that Option (C) has the least amount of significant figures compared to all the other options that are given.

Option (C) 0.08076 is the correct answer.