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How many significant figures are there in each of the following numbers? (i) 6.005, (ii) 6.002 × 1023, (iii) 8000, (iv) 0.0025, (v) π, (vi) the sum 18.5 + 0.4235, (vii) the product 14 × 6.345. |
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Answer» (i) Four because the zeros between the non-zero digits are significant figures. (ii) Four because only the first term gives the significant figures and exponential term is not considered. (iii) Four. However, if expressed in scientific notation as 8 × 103, it will have only one significant figure, as 8.0 × 103, 8.00 × 103 or 8.000 x 103, it will have 2, 3 or 4 significant figures. (iv) Two because the zeros on the left of the first non-zero digit are not significant. (v) As π = 22/7 = 3.1428571…., hence it has infinite number of significant figures. (vi) Three, because the reported sum will be only upto one decimal place i.e., 18.9. (vii) Two, because the number with least number of significant figures involved in the calculation (i.e., 14) has two significant figures. |
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