How many significant figures are present in the following?(i) 0.0025 (ii) 208 (iii) 5005 (iv) 126,000 (v) 500.0 (vi) 2.0034
Question
How many significant figures are present in the following?
- 0.0025
- 208
- 5005
- 126,000
- 500.0
- 2.0034
Solution
(i) 0.0025 has 2 significant figures. The leading zeros are not counted as significant figures. Only the '2' and '5' are significant.
(ii) 208 has 3 significant figures. All non-zero digits are always significant.
(iii) 5005 has 4 significant figures. All non-zero digits are always significant and zeroes between non-zero digits are also significant.
(iv) 126,000 has 3 significant figures. In this case, the trailing zeros are not significant because they are simply acting as placeholders.
(v) 500.0 has 4 significant figures. The trailing zero after the decimal point is significant because it indicates a measure of precision.
(vi) 2.0034 has 5 significant figures. All non-zero digits are always significant and zeroes between non-zero digits are also significant.
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