How many significant figure are there in each of the following numbers? (i) 6.005 (ii) 6.022xx10^(23) (iii) 8000 (iv) 0.0025 (v) pi (vi) the sum 18.5+0.4235 (vii) the product 14xx6.345.

How many significant figure are there in each of the following numbers

1.	How many significant figure are there in each of the following numbers? (i) 6.005 (ii) 6.022xx10^(23) (iii) 8000 (iv) 0.0025 (v) pi (vi) the sum 18.5+0.4235 (vii) the product 14xx6.345.
Answer» Solution :(i) Four because the zeros between the non-zero digits are SIGNIFICANT figures. (ii) Four because only the first term gives the signigicant figures and exponential term is not CONSIDERED. (iii) Four. HOWEVER, if expressed in scientific notation as `8xx10^(3)`, it will have only one significant figure, as `8.0xx10^(3),8.00xx10^(3) or 8.000xx10^(3)`, it will have 2, 3 or 4 significant figures. (iv) Two because the zeros on the left of the first non-zero DIGIT are not significant. (V) As `pi=(22)/(7)=3.1428571..........,` hence it has infinite number of significant figures. (vi) Three because the reported sum will be only upto one decimal place, i.e., 18.9. (vii) Four because leaving the exact number, the second term has four significant figures.