Problem 2P

(I) How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086. (f) 3236. and (g) 8700?

Solution: 2P

To find the significant figures for the following numbers:

Remarks: The number of significant figures is counted from the first nonzero digit.

- 214

Significant figures of the number 214

214 = number of significant digits = [3]

(b) 81.60

Significant figures of the number 81.60

81.60 = number of significant digits = [4]

(c) 7.03

Significant figures of the number 7.03

7.03 = number of significant digits = [3]

(d) 0.03

Significant figures of the number 0.03

0.03 = number of significant digits = [1]

(e) 0.0086

Significant figures of the number 0.0086

0.0086 = number of significant digits = [2]

(f) 3236

Significant figures of the number 3236

3236 = number of significant digits = [4]

(g) 8700

Significant figures of the number 8700

81.60 = number of significant digits = [4, 3 or 2]

Depending on significance of zeros

(Zeros give only the place value of the number)