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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?(i) 0.0025 (ii) 208 (iii) 5005 (iv) 126,000 (v) 500.0 (vi) 2.0034

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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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