Question

# Which of the following statement is wrong concerning the significant digits? A. Three significant digits in...

Which of the following statement is wrong concerning the significant digits? A. Three significant digits in 0.00405 B. Four significant digits in 0.05000 C. Four significant digits in 2.1870 x 102 D. Three significant digits in 1.03 E. Five significant digits in 53.410

A)

0.00405 --> 4.05*10^-3 will be the scientific notation, it contains only 3 digits, i.e. 3 significan figures, so it is TRUE

B)

0.05000; note that those 3 extra zeros mean precision! so we can't simply ignore them, so

5.000*10^-2; total number of digits = 4, so this is also TRUE

C)

note that in scientific notation, we only care about the "base" number i.e. the 10^2 is only informative

so

2.1870 --> 5 digits, therefore 5 significant figures, this is FALSE

d)

1.03 --> has 3 digis, so 3 sig. fig , this is TRUE

e)

53.410 --> last zero counts! since it is significative given it states precision

so, 5 digits --> 5 sig. fig, TRUE

therefore

only C) is wrong