Write down number of significant figures in the following: 1) 25.42 ii) 0.004672 iii) 35.320
Answers 1
(i) 2
(ii) 4
(iii) 3
Explanation:We know that numbers are often rounded to avoid reporting insignificant figures.
(i)The First rule is that all non-zero digits are considered as significant: 1, 2, 3, 4…….
(ii)Then the second rule is Zeros between non-zero digits are also considered as significant: 102, 200005, 25020…..
(iii)Now, the third rule can be given as: Leading zeros are never significant: 0.02, 001.887, 0.000515.
(iv)Fourth and the most significant rule is that in a number with or without a decimal point, trailing zeros which are on the right of the last non-zero digit are significant if they are justified by the precision of their derivation: 252,0000; 5.02121000; 6.900; 42.697800
On basis of these rules, we can say that
- 25.42 have 2 significant figures.
- 0.004672 have 4 significant figures, as zeroes before the non-zero numbers are considered insignificant.
- 35.320 have 3 significant figures.
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